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Discovered MENA Data Scientist Interview Questions & Guide 2026

SQL practice for Discovered MENA data scientist candidates: window functions, funnel and retention queries, joins that quietly drop rows.

The 60-second brief

A Data Scientist at Discovered MENA plays a pivotal role in driving strategic analytics that directly influences the company’s growth initiatives. This position is not merely about data analysis; it encompasses designing frameworks that guide leadership decisions, forecasting outcomes, and measuring the return on investment (ROI) across diverse business operations. As a Data Scientist, you will engage with senior stakeholders to ensure that resources are allocated effectively toward high-value opportunities, thereby impacting not just products but also the overall user experience.

Most of the loop measures decision-making under uncertainty rather than recall. You are scored on whether you state your assumptions, commit to an estimate you can defend, and say explicitly what evidence would change it.

Focus areas

  • Separate novelty effects from durable behaviour change
  • Decompose a metric move by segment and mix
  • Define numerator, denominator and window precisely

Overview

The complexity and scale of the work undertaken by a Data Scientist at Discovered MENA are significant. You will work on high-impact projects that require a deep understanding of statistical expertise and robust business judgment. The insights you provide will shape critical decisions related to product development, market expansion, and pricing strategies. This role is not only critical but also intellectually stimulating, offering opportunities to apply advanced analytical techniques in real-world scenarios.

In collaborating with various teams, such as Finance, Product, and Commercial, you will drive initiatives that span across the business landscape. Your contributions will directly affect strategic outcomes, making this role both challenging and rewarding for those who thrive in data-driven environments.

The Discovered MENA interview process

Discovered MENA candidates report 5 rounds · ≈ 4-6 weeks. The stages below are what candidates describe, not a published process.

Initial Screening

A screening call is a matching exercise run by someone who will not evaluate your statistics. They are checking that the work described on your resume is work you personally did, and that its scope matches the level the role is written for. Logistics get settled in the same half hour so nobody spends an interviewer's afternoon on a mismatch. The answer that fails is the one narrated in the plural. If every sentence is 'we built' and 'the team decided', there is nothing specific to write down about you. Name the piece that was yours, the decision you made inside it, and what changed after.

What to demonstrate

  • Whether the ownership implied by your resume survives one round of follow-up about who actually did which part
  • Whether your described scope (data size, stakeholders, what shipped) matches the seniority the role is written at
  • Whether timeline, location and compensation expectations make the rest of the loop worth scheduling

How to prepare

  • Rewrite your top three resume bullets in the first person singular, each with the decision you made and what moved afterwards, then say them out loud once so the 'we' does not return under pressure
  • Attach one number to each project: the baseline, the change, and the window it was measured over. Where impact was never measured, say that plainly rather than inventing a figure
  • Settle your compensation range before the call and give it as a range with a reason behind it, such as current total comp or a competing timeline, instead of deflecting the question twice

Technical Assessments

A handful of shapes account for most of what gets asked in this format: a ranking or deduplication inside groups, a running or rolling total, a period-over-period comparison, and a cohort tracked forward over time. Recognising the shape quickly is most of the speed here; deriving it from scratch while a clock runs is where the time goes. Know that a window function keeps every row while a GROUP BY collapses them, and know which one the question needs. If the exercise is in Python instead of SQL, the same shapes arrive as groupby with transform, shift and merge, and the same grain mistakes are available.

What to demonstrate

  • Whether you reach the right construct without a detour, such as ROW_NUMBER over a partition to deduplicate instead of a self-join against a MAX subquery
  • Whether you know what your window frame actually is, since adding ORDER BY inside OVER changes the default frame and silently changes a running total
  • Whether the thing runs. A near-miss that throws an error scores below a plainer query that returns the right rows.

How to prepare

  • Write each of the four shapes once from memory against a small schema and keep the working version somewhere you will reread it: dedupe with ROW_NUMBER, a running total, a month-over-month change with LAG, and a retention table
  • Compute one running total twice on data with tied timestamps, once on the default frame and once with ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW, and look at where the two disagree
  • If Python is on the table, rebuild the dedupe and the running total with groupby and cumsum, then assert the two implementations return identical rows

Collaborative Engagement

An added round often puts you in front of someone outside the core hiring team: a partner engineer, a product owner, a domain expert, sometimes a more senior manager. The question they are really asking is not whether you can do the work but whether they would trust a number that came from you. That changes what a good answer looks like. Lead with what the decision cost and what it changed, keep the method available but not central, and be plain about the limits of your evidence. Overstating a result is the fastest way to lose this round.

What to demonstrate

  • Whether you can explain a technical choice to someone who will never read your code, without either flattening it into nothing or hiding inside jargon
  • Honesty about evidence strength: what the analysis establishes, what it only suggests, and what it cannot say at all
  • How you take disagreement, specifically whether you update on a good objection, hold your position with reasons, or fold on contact

How to prepare

  • Write the two-sentence version of your most technical project for a non-specialist, then check that neither sentence needs a method name to make sense.
  • For one result you are proud of, write the strongest objection someone could raise and a response that concedes the part of it that is correct.
  • Prepare one decision that turned out to be wrong: how you found out, what it cost, and what you changed afterwards. A senior cross-functional interviewer asks for this more often than a technical one does.

Behavioral Questions

This round decides whether you owned a decision or watched one happen nearby. Interviewers for data roles listen for the point where the analysis stopped being a report and started changing what someone did, so build each story around that hinge: what was going to happen by default, what you found, and what happened instead. The most common weakness is a story that ends at delivery. If you can name the decision your work changed and the number that moved because of it, most follow-ups become easy.

What to demonstrate

  • Whether the decision was yours to influence, or whether you are narrating a team outcome in the first person
  • The counterfactual: what would have been done without your analysis, and why that default was worse
  • How far your involvement ran past the handoff, and whether you checked that the change did what you predicted

How to prepare

  • Pick three projects and write one sentence for each naming the decision-maker, the choice in front of them, and what they chose after seeing your work. If you cannot name a person and a choice, the story is not ready for this round.
  • Reconstruct the baseline for your strongest project from the original query or dashboard rather than memory, so the before-number survives a follow-up asking where it came from.
  • Prepare an honest version of a project where your recommendation was overruled, including what you did with the analysis afterwards.

Final Discussions

Where a loop includes a partner from outside the data team, that conversation usually carries the same weight as the technical ones and gets the least preparation. The person opposite you will not follow a derivation and does not need to. They are working out whether having you involved would make their decisions better or slower. The failure mode is not being too technical. It is answering a question about a decision with a description of your method, leaving the translation to them. What they carry into the debrief is the sentence you handed them, not the analysis underneath it.

What to demonstrate

  • Whether a statistical result arrives as something the partner could act on, with the one caveat that would change their decision kept and the rest left out
  • Whether you can state what you need from their side, in their terms: instrumentation that does not exist yet, a definition they own, or a holdout they have to agree to
  • Whether uncertainty is given as a range someone can plan against, rather than as hedging that invites them to ignore the result
  • Whether you ask what decision is actually on the table before explaining anything

How to prepare

  • Take a result you know well and write the version for someone who stops reading after one sentence, then the three-minute version, and check the short one is not the long one with the qualifications stripped out
  • For a past project, list everything you asked a non-technical partner for and how you phrased it, then rewrite each ask so it names what goes unmeasured without it
  • Practise saying where a result does not apply, out loud, in one sentence that a partner could repeat accurately to someone else

Where candidates lose points

Counting on an identity key that changes underneath the metric

visitor_id is per browser and per device, and it resets on cookie clearance, private browsing and platform privacy changes, so the distinct-visitor count drifts upward for reasons unrelated to reach. Any rate with visitors in the denominator therefore decays over time even when behaviour is constant, and any rate with visitors in the numerator inflates. The stitching at signup makes it worse in both directions: a user who signed up on mobile and returns on desktop is two visitors and one user, while a shared device is one visitor and several users. Decide which key each metric is counted on, write it into the definition, and when comparing a period before and after a platform privacy change, expect a level shift in every visitor-keyed metric and do not attribute it to the product.

Reading a pooled rate that moved because the mix moved, not because any behaviour changed

A pooled conversion rate is a weighted average, and a shift in the weights can move it in the opposite direction to every one of its parts. A paid campaign that brings low-converting traffic drops overall signup conversion even if desktop, mobile web and app conversion each rose that week, which is Simpson's paradox and it is the single most common cause of an inexplicable dashboard move. The discipline is to decompose before explaining: recompute the rate holding last period's segment weights fixed, and compare that counterfactual to the actual, so the mix effect and the rate effect are separated numerically rather than argued about. Segment on the dimensions that actually reweight, which in this domain are almost always device_type, referrer_channel, country and new versus returning.

Extrapolating a first-week lift inflated by novelty effects

Plot the treatment effect by days since first exposure instead of quoting one pooled average. A lift that decays toward zero across the test window is behaviour that will not persist, and annualising it produces a forecast that misses by an order of magnitude.

SQL that silently fans out on a one-to-many join

State the grain of each table and the grain you want in the result before writing the join. Pre-aggregate the many side to the join key, or use EXISTS or a window function, and verify with a row count against COUNT(DISTINCT id) rather than trusting that the numbers look plausible.

Questions & practice

Describe how you would implement a segmentation model.

Medium · machine learning and modelling

Approach

  1. Check what information would not exist at prediction time, and exclude it.
  2. Set a baseline first, so any model has something honest to beat.
  3. Pick an evaluation metric that matches the cost of each error type, not a default.

Follow-up

  • How would you choose the decision threshold, and who owns that choice?
  • Where could label leakage enter this setup?

Audit a one-day event extract for structural defects

Easy · data quality · late arrival · pandas

You receive a one-day extract of fct_event as a DataFrame with event_id, occurred_at_utc, received_at_utc, visitor_id, user_id, account_id, event_name, is_bot_flagged and surface. Write a function returning one row per data-quality rule with the rule name, the failing row count and the failing share of the extract. Cover at minimum: duplicate event_id, received_at_utc earlier than occurred_at_utc, occurred_at_utc later than the extract's maximum received_at_utc, account_id present while user_id is NULL, and rows whose occurred_at date differs from their received_at date. Do not drop rows; report only.

Approach

  1. Compute the extract's own reference clock first: max(received_at_utc). Wall-clock now() is wrong here because the extract may be replayed days later, which would turn every row into a future-dated failure.
  2. Express each rule as a boolean Series over the same index so the checks compose, then aggregate with .sum() and divide by len(df). Building a list of (name, mask) pairs keeps the rule set extensible and keeps one code path for counting.
  3. For the duplicate rule, decide and state the convention: df.duplicated('event_id', keep=False).sum() counts every member of a duplicated group, df.duplicated('event_id').sum() counts only the surplus copies. Either is defensible; an unstated choice is not. The rest of this item assumes keep=False.
  4. Treat received_at < occurred_at as clock skew, not corruption: occurred_at is client-supplied. Separate it from the date-mismatch rule, which is the one that actually breaks a daily metric keyed on occurred_at.
  5. Know which rules imply which before you read the counts. A row whose occurred_at exceeds max(received_at_utc) has its own received_at no later than that maximum, so it is necessarily a clock-skew row as well: the future-dated mask is a subset of the skew mask, always. Neither is a subset of the date-mismatch mask, because skew of a few minutes inside one UTC date mismatches nothing.
  6. Return a tidy DataFrame sorted by failing_share descending, and add a boolean column saying whether the rule should block publication, so the output is a decision rather than a list of numbers.

Follow-up

  • The date-mismatch count is 2.1 percent on this extract. What late-arrival rule would you write for a daily metric, and how many days would you hold the number open?
  • Duplicate event_id values appear only on the 'core_action_completed' event. What upstream cause would you check before deduplicating?
  • Which of these rules should fire an alert at the pipeline, and which should only appear in a weekly review?

Permutation test for a difference in conversion rates

Medium · permutation test · resampling · inference

Write a two-sided permutation test from scratch for a difference in conversion rates, using no scipy hypothesis function. Input: a DataFrame with unit_id, variant in {control, treatment} and converted in {0,1}, one row per randomisation unit. Compute the observed difference in proportions, then build the null distribution by reshuffling the variant labels while holding each arm's size fixed. Report the p-value as (1 + the count of permuted statistics at least as extreme in absolute value) / (B + 1) with B at least 10,000, and return the permutation distribution.

Approach

  1. Name the null being tested: the sharp null that each unit's outcome is the same under either label. That is what licenses permuting labels, and it is stronger than the null of equal means, which matters when someone asks whether the test is valid under unequal variances.
  2. Extract converted to a single numpy array of 0s and 1s and record n_treatment. Every permutation is then just a reshuffle of one array, and the treatment mean is the mean of the first n_treatment entries of the shuffled array.
  3. Vectorise the B permutations with rng.permuted on a tiled 2-D array, or with argsort of a (B, n) random matrix. A Python loop calling np.random.shuffle B times is correct but roughly an order of magnitude slower and often runs past the time limit.
  4. Use the +1 correction in both numerator and denominator. Without it a p-value of exactly 0 is reportable, which is false: the observed labelling is itself one of the permutations, so the smallest attainable p-value is 1/(B+1).
  5. Compare the resulting p-value against a two-proportion z-test as a sanity check. At these sample sizes they should agree closely; a large divergence means the statistic or the shuffle is wrong, not that the permutation test found something subtle.

Worked solution (25 min)

  1. y = df['converted'].to_numpy(); n_t = (df['variant'] == 'treatment').sum(); obs = y[treat_mask].mean() - y[~treat_mask].mean().
  2. Build the null: for B draws, shuffle y and take the mean of the first n_t entries minus the mean of the rest.
  3. p = (1 + (np.abs(null) >= abs(obs) - 1e-12).sum()) / (B + 1), with the small tolerance so exact ties count as at least as extreme.
  4. Return obs, p and the null array; plot or describe the null to confirm it is centred at 0.

Expected result: The observed difference, a p-value in [1/(B+1), 1], and a null distribution whose mean is approximately 0 and whose standard deviation approximately matches the analytic pooled standard error sqrt(p_pool*(1-p_pool)*(1/n1 + 1/n2)).

Verify it yourself

  • The null distribution's mean is within a few Monte Carlo standard errors of 0; if it is centred on the observed difference, the code bootstrapped instead of permuted.
  • The null's standard deviation agrees with the analytic pooled standard error to within a couple of percent.
  • The p-value agrees with a hand-computed two-proportion z-test p-value to within about 0.01 at these sample sizes.
  • Setting converted identical in both arms by construction yields a p-value near 1, and a planted large effect yields the floor of 1/(B+1).

Follow-up

  • The arms are 200 and 20,000 units. Does the permutation test stay valid, and what happens to its resolution at B = 10,000?
  • Give a 95 percent confidence interval for the difference. Can you get it from this permutation distribution, and if not, what would you run instead?
  • The randomisation unit is user_id but the outcome is per session. What breaks, and what is the fix?

Can you provide an example of using a specific library (e.g., pandas or statsmodels) for data analysis?

Medium · sql and data manipulation

Approach

  1. Check whether any join is one-to-many before aggregating, or the sums inflate.
  2. Say which table is the grain you start from, and join outward from it.
  3. Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.

Follow-up

  • What breaks if events arrive late or out of order?
  • How does the query change if the join becomes one-to-many?

How would you optimize a SQL query for performance?

Medium · sql and data manipulation

Approach

  1. Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
  2. State the window function and its partition and ordering out loud before writing it.
  3. Say which table is the grain you start from, and join outward from it.

Follow-up

  • How does the query change if the join becomes one-to-many?
  • What breaks if events arrive late or out of order?

Seven-day activation rate by weekly signup cohort

Easy · cohorts · activation · date-bounds

dim_user holds user_id, account_created_at_utc, is_internal. fct_event holds user_id, occurred_at_utc, is_core_action. A user is activated when core-action events fall on at least two distinct UTC dates inside [account_created_at_utc, account_created_at_utc + 7 days). Return, for the last twelve complete weekly signup cohorts, the cohort week, cohort size, activated users and the activation rate. Exclude is_internal users. Every signup in the cohort week stays in the denominator, including users who never returned.

Approach

  1. Start from dim_user as the denominator spine with is_internal = FALSE and DATE_TRUNC('week', account_created_at_utc) as the cohort key. Driving the query from the event table instead would silently condition on having events and delete the entire non-activating population.
  2. Join fct_event on user_id with is_core_action = TRUE and a per-user bound, occurred_at_utc >= u.account_created_at_utc AND occurred_at_utc < u.account_created_at_utc + interval '7 days'. The bound is correlated to each user's own signup timestamp, not a single global date range.
  3. Aggregate per user with COUNT(DISTINCT occurred_at_utc::date) >= 2, then LEFT JOIN that back onto the spine and COALESCE the flag to FALSE so non-activators contribute a zero rather than vanishing.
  4. Restrict the published cohorts to those whose week ended at least eight days ago. A cohort younger than that has not finished its seven-day window, so its rate is mechanically low and reads as a decline.
  5. Roll up by summing the numerator and denominator per cohort week, and state the two-distinct-days threshold next to the number since it is a choice that re-bases the whole history if changed.

Worked solution (20 min)

  1. Write the cohort spine and confirm its total equals the count of non-internal signups in the date range.
  2. Write the per-user distinct-active-days CTE with both interval bounds and inspect a handful of users manually.
  3. LEFT JOIN, COALESCE the flag, aggregate to cohort week.
  4. Apply the eight-day publication lag and drop the incomplete cohort.
  5. Re-run with a closed upper bound (<= +7 days) and note how many users change state, to show the boundary is doing work.

Expected result: Twelve rows, one per cohort week, each with cohort_size, activated and rate. Cohort sizes sum to the total non-internal signup count across those twelve weeks. No cohort is younger than eight days.

Verify it yourself

  • activated is never greater than cohort_size in any row.
  • A user with three core actions on a single day is not counted as activated.
  • Removing the LEFT JOIN in favour of an inner join raises every rate, which demonstrates the denominator was being conditioned on survival.
  • Cohort sizes sum to an independent COUNT(*) over dim_user for the same range.

Follow-up

  • Why two distinct days rather than one event? What happens to the published history if someone changes it to three?
  • Invited seats and SSO-provisioned users get an account_created_at_utc at provisioning and may never sign in. Should they be in this denominator?
  • The rate rose 3 points this week. What do you check before believing it?

What metrics would you use to define product health?

Medium · product sense and metrics

Approach

  1. State what result would change your recommendation, so the answer is falsifiable.
  2. Restate the decision this analysis has to support, and who acts on the answer.
  3. Fix the population and the time window before naming any metric.

Follow-up

  • Which segment would you cut first, and what would that rule out?
  • How would you detect that the metric is being gamed rather than genuinely improving?

What steps would you take to evaluate the impact of a pricing change?

Medium · product sense and metrics

Approach

  1. Fix the population and the time window before naming any metric.
  2. Name one primary metric, then the guardrail that stops it being gamed.
  3. Restate the decision this analysis has to support, and who acts on the answer.

Follow-up

  • How would you detect that the metric is being gamed rather than genuinely improving?
  • What would you do if the primary metric and the guardrail moved in opposite directions?

How do you prioritize tasks when working on multiple projects?

Medium · product sense and metrics

Approach

  1. State what result would change your recommendation, so the answer is falsifiable.
  2. Restate the decision this analysis has to support, and who acts on the answer.
  3. Fix the population and the time window before naming any metric.

Follow-up

  • What would you do if the primary metric and the guardrail moved in opposite directions?
  • Which segment would you cut first, and what would that rule out?

Given a dataset with sales data, how would you identify key trends?

Medium · product sense and metrics

Approach

  1. Restate the decision this analysis has to support, and who acts on the answer.
  2. Fix the population and the time window before naming any metric.
  3. Name one primary metric, then the guardrail that stops it being gamed.

Follow-up

  • How would you detect that the metric is being gamed rather than genuinely improving?
  • Which segment would you cut first, and what would that rule out?

Discuss the importance of A/B testing and common pitfalls to avoid.

Medium · a/b testing and experimentation

Approach

  1. Say whether units interfere with each other, and switch design if they do.
  2. Name the randomisation unit first; it decides the variance and what the test can detect.
  3. Decide the analysis before seeing data, including how long it runs and when you look.

Follow-up

  • How would you handle interference between treated and control units?
  • What would you do if you could not randomise at all?

How do you approach causal inference in your analyses?

Medium

Approach

  1. Say what you would check first and why it is the highest-information step.
  2. Clarify what is being asked and what a complete answer would contain.
  3. Work from the decision backwards to the evidence you would need.

Follow-up

  • How would you know your answer was wrong?
  • What assumption would you test first?

A surrogate for twelve-month value inside a three-week test

Hard · surrogate metrics · experimentation · long-term value

A monetisation change — an earlier and harder paywall — will be tested for three weeks. The decision quantity is twelve-month cumulative net revenue per acquired account, which cannot be observed in three weeks. Available: fct_event, fct_session, fct_subscription_period (mrr_cents_constant_fx, period_status, change_reason, is_first_paid_period), dim_account, and fct_experiment_exposure (unit_type, unit_id, variant, first_exposed_at_utc, is_in_analysis_population). Construct a surrogate index readable at three weeks, state the assumption that makes it valid, name the mechanism that breaks it, and give the pre-registered rule for refusing to decide. Deliverable: the index, the assumption, and the refusal rule.

Approach

  1. State the surrogacy condition before building anything: a surrogate is valid only if the treatment's entire effect on twelve-month revenue runs through it. Then say where it fails here, because a paywall moves short-run revenue directly and long-run revenue through churn and through who becomes a payer at all.
  2. Fit the index on history rather than on intuition: regress twelve-month cumulative net revenue per account on features observable by day 21 — first-paid flag, activation days, week-3 core-action days, seats billed — using cohorts old enough to have a twelve-month outcome, and hold out a later cohort.
  3. Report the out-of-sample fit as the headline rather than the point estimate: the held-out R-squared and the calibration of predicted against actual deciles are what license any use of the index, and a decile plot catches the mis-calibration an R-squared hides.
  4. Name the bias direction explicitly: the relationship was estimated under the old paywall, so under a harder paywall the marginal payer is a different person and the index over-predicts their value, biasing the treatment arm optimistic.
  5. Surround the index with the direct three-week readouts it cannot contain — revenue per exposed unit, cancel-within-first-period rate, and the free-side signup and activation counts — and pre-register a numeric refusal rule, because the failure mode of a surrogate is being used confidently in exactly the case it was not fit for.

Worked solution (40 min)

  1. Assemble the training set: accounts with first_paid_at_utc at least twelve months old, their realised twelve-month cumulative net revenue, and the day-21 features.
  2. Fit on pre-change cohorts, evaluate on a held-out later cohort, and report both out-of-sample R-squared and predicted-versus-actual decile calibration.
  3. Write the surrogacy assumption as a falsifiable sentence, then write the specific mechanism in this treatment that violates it.
  4. Specify the direct arm readouts on fct_experiment_exposure with is_in_analysis_population = TRUE: revenue per exposed unit, cancel-within-first-period rate, and free-side signup and activation counts.
  5. Write the refusal rule with numbers attached, covering both the fit threshold and the free-side divergence case.

Expected result: A fitted surrogate with a reported out-of-sample R-squared and calibration, a written surrogacy assumption plus the mechanism that violates it, the resulting bias direction, and a numeric refusal rule agreed before launch.

Verify it yourself

  • Standard errors are clustered on fct_experiment_exposure.unit_id, the identifier of the randomisation unit. unit_type is the kind label for that unit — a single value such as 'user' across the whole table — so clustering on it collapses the design to one or two clusters and carries no information about who was randomised together. A per-event or per-session standard error on a user-randomised test is the opposite error: too small, and it will manufacture significance.
  • The analysis population is the exposed set with is_in_analysis_population = TRUE, and a sample-ratio check against the intended split passes before any outcome is read.
  • The index applied to the control arm should reproduce the historical relationship. If control is already mis-calibrated, the treatment estimate is not interpretable at all.

Follow-up

  • What evidence would make you trust a surrogate for this particular change rather than a different one?
  • The index reads plus 8 percent while three-week cancel-within-period is up. Which do you act on, and what do you tell the decision-maker?
  • How would you size this test, on what unit, and what does that do to the three-week horizon?

Attribute a flow-completion drop to one client build

Medium · release-regression · instrumentation · staged-rollout

Core-flow completion rate on surface = 'ios', defined as distinct flow_instance_id reaching 'flow_completed' within 30 minutes of 'flow_started' with no 'error_shown' on the same id in between, fell from 78% to 71% over four days. A new iOS build began a staged rollout on day one. Using fct_event columns flow_id, flow_instance_id, app_version, event_name, user_id and occurred_at_utc, produce the completion rate per build per day, size the loss in absolute completions, and say whether the fix is a rollback. Treat the possibility that the instrumentation changed rather than the flow.

Approach

  1. Cut the rate by app_version and day, each build against its own denominator. A pooled series during a staged rollout is a weighted average whose weights move daily, so it declines in proportion to the rollout share even when the old build is perfectly flat; confirming that proportionality is itself the evidence the regression is build-specific rather than environmental.
  2. Test the denominator before believing the rate. Compute flow_started events per distinct user_id on each build: if the new build re-mints flow_instance_id on retry, or fails to carry the id from start to completion, the denominator inflates and the numerator falls with nothing changing for the user.
  3. Normalise to a user-level outcome that is immune to the id question, namely completions per distinct user_id per day on each build. This is the number that says whether anyone actually failed to finish.
  4. Check the error path: pull error_shown counts and their properties for flow_instance_id values on the new build. A genuine regression produces errors; an instrumentation break produces missing completions with no corresponding error volume, and the two prescribe different fixes.
  5. Size the real loss as the per-user completion gap multiplied by daily users on the new build, and give the rollback recommendation conditional on the error evidence rather than on the rate.

Follow-up

  • The rollout is at 45% and product wants to go to 100% tomorrow. What do you say, and what would you need by when?
  • If the flow_instance_id is genuinely being re-minted, what is the correct historical treatment of the four affected days?
  • How would you have caught this on day one instead of day four?

Suggested practice checklist

For someone who can already write the query and train the model but stalls when asked what to measure or whether a change is worth making. Metric definition and case structure come first; the technical work is kept as maintenance rather than the centre of the week.

Day 1 — Metric anatomy

  • For three products you use daily, write one primary metric, two input metrics that plausibly move it, and one guardrail that would catch a cheap way of moving the primary at the cost of the product.
  • For one of them, specify the metric precisely enough that two analysts would return the same number: numerator, denominator, unit of observation, time window, and how returning and deleted accounts are treated.
  • Pick a ratio metric and write what happens to it when the denominator shrinks for reasons unrelated to the numerator, with a concrete example of that happening.

Deliverable: A one-page metric tree for one product, with the primary metric written as an unambiguous spec.

Day 2 — Diagnosing a drop without guessing

  • Take the prompt "weekly active users fell 8 percent week over week" and write the segmentation plan before proposing any cause: platform, region, tenure cohort, acquisition channel, and whether the movement sits in the numerator or in a changed denominator.
  • List the instrumentation failures that manufacture fake drops (a client release that stopped firing an event, a bot filter change, a shifted date boundary or timezone) and write the query that rules out each one.
  • Rehearse stating the boring explanations first, seasonality and day-of-week composition, before reaching for a product cause.

Deliverable: A drop-diagnosis checklist short enough to recite from memory in under a minute.

Day 3 — Should we build it

  • Take a feature idea and write it as a bet: what you believe is true, what would have to be true for it to pay off, the metric that would confirm it, and the effect size that would justify the engineering cost.
  • Size the opportunity top-down and bottom-up, then reconcile the two numbers in writing instead of quoting whichever is friendlier.
  • Write the counter-metric that would make you kill the feature even if it wins on the primary metric.

Deliverable: A one-page product memo ending in a decision rather than a list of considerations.

Day 4 — The places aggregate numbers lie

  • Construct a Simpson's paradox numerically: two segments where the treatment wins within each segment yet loses overall, and identify the shift in segment weights that causes it.
  • Take a heavy right-tailed quantity such as revenue per user and write why the mean is the wrong summary, which percentile you would report instead, and what a moving mean with a stable median tells you.
  • Write your definition of a session for the product from day one, then name two real behaviours it misclassifies.

Deliverable: One page holding a worked Simpson's paradox table and a session definition with its two known failure cases.

Day 5 — Technical maintenance, aimed at metrics

  • Solve four timed SQL prompts that all end in a ratio metric, so the question of grain stays live in every answer.
  • Compute a 95 percent confidence interval for a proportion on a small sample, and state why the normal approximation is unreliable when either np or n(1 minus p) falls below roughly 10, along with which interval you would use instead.
  • Take one metric from your day-one tree, write the query that computes it correctly, then write the query that computes it wrong in the most plausible way and explain how you would notice.

Deliverable: Four solved prompts plus a matched correct and plausible-wrong query for one metric.

Day 6 — Turning engineering work into data science stories

  • Write three project stories as situation, decision, trade-off, outcome, each carrying one number and one thing you got wrong.
  • For the story you will lead with, prepare an answer to "what would you do differently" that names a decision you made, not a constraint you were handed.
  • Practise the sentence that reframes a systems project as a question project: the question the work answered, ahead of the pipeline it shipped.

Deliverable: Three written stories with the lead story delivered aloud and timed under four minutes.

Day 7 — Mock case and gap list

  • Run a 40-minute mock case with someone playing a product manager who pushes back on your metric choice, and record it.
  • Listen back and mark every moment you proposed a solution before the success metric existed.
  • Rewrite those moments as the question you should have asked, and rehearse the first 90 seconds of the case until scoping comes before solving.

Deliverable: A recorded case plus a rewritten opening 90 seconds.

Ownership when the result is inconvenient

Sometimes the honest read is that the initiative did not work, and the person who commissioned the analysis was hoping otherwise. Interviewers want to know whether you softened it. Prepare the case where you delivered an unwelcome result, how you presented the uncertainty without hiding behind it, and what the team did next.

How do you handle feedback and criticism on your work?

Medium · behavioural and stakeholder questions

Approach

  1. Quantify the outcome, including what you would not claim credit for.
  2. State the situation in two sentences and spend the rest on your reasoning.
  3. Close with what you would do differently, concretely.

Follow-up

  • How did you know the outcome was caused by your change?
  • What did you decide not to do, and why?

Defend a flat experiment readout against a post-hoc segment

Medium · experiments · segmentation · pushback

A feature you evaluated is flat on seven-day activation: +0.05pp with a 95% interval of [-0.47pp, +0.57pp], from 61,000 exposed users per arm in fct_experiment_exposure joined to dim_user and fct_event. Baseline activation is 32%. The launch team asks you to drop every surface except mobile_web, where the point estimate is +1.1pp, and re-run. You have ten minutes in their planning meeting. Deliver a spoken position: what you will and will not do, and the decision you recommend.

Approach

  1. Recognise what is being probed: whether you hold a statistical position under social pressure without becoming either rigid or apologetic. A generic answer says the segment is not significant; a strong one separates the request into a question that is answerable (is the mobile_web number real?) and one that is not (can we ship on it?), and answers both.
  2. Price the multiplicity out loud. The slice was chosen after seeing the results, so its estimate is selected on favourable noise and is biased away from zero. With k independent looks at a nominal 5% level, the chance of at least one false positive is 1 - 0.95^k: 26% at six segments, 64% at twenty. Quote the k you actually inspected, not the k you reported.
  3. Use the arithmetic already in front of you. On the point estimates, a +1.1pp mobile_web effect combined with a pooled +0.05pp implies the remaining surfaces average negative in proportion to mobile_web's share of exposures. State that as a testable implication of their story rather than as a rebuttal of it.
  4. Ask the one question that settles the category: was mobile_web named in the analysis plan before launch? If it was, it is a planned comparison and gets a corrected reading. If it was not, it is a hypothesis, and the honest move is to size the test that would confirm it.
  5. Convert the refusal into a cost. Size a mobile_web-only confirmatory test at the claimed effect, state the weeks of mobile_web traffic it needs, and close with the recommendation: do not ship this as a lift, and note that the interval already rules out anything at or above +0.6pp, which is itself a useful input to the roadmap.

Follow-up

  • The confirmatory test you sized needs nine weeks of mobile_web traffic and the team has three. What do you recommend instead?
  • Suppose mobile_web was pre-registered. How does your reading change, and what correction do you apply?
  • Your interval excludes +0.6pp. Is that the same as saying the feature does nothing?

Explain a wide interval to a non-technical executive

Medium · communication · uncertainty · pricing

A pricing change is under consideration. Your best estimate of its effect on trial-to-paid conversion is a 1.8pp drop, with a 95% interval from a 4.6pp drop to a 1.0pp rise, read from a geo holdout rather than a randomised test. An executive preparing a board slide asks you for 'the number'. You have ninety seconds and one slide, and the words confidence interval, p-value and significance are not usable with this audience. Deliver the slide headline, the single supporting line, and what you say aloud.

Approach

  1. Recognise what is being probed: whether you can carry uncertainty into a decision instead of either hiding it or hiding behind it. The generic answer promises to explain the interval in plain English; the strong one replaces the question 'what is the number' with 'across this range, where does the decision change'.
  2. Find the threshold before you draft anything. Ask what the pricing case assumes, then compute the conversion drop at which the higher price stops adding revenue: price uplift on the conversions kept against the revenue lost from conversions forgone. That single figure is what makes the range legible.
  3. Restate the estimate and both bounds in the unit the audience already reasons in. Convert percentage points into monthly first-paid conversions at current trial volume, then into mrr_cents_constant_fx, so the slide reads as money per month rather than as statistics.
  4. Place the range against the break-even and say which part of it sits on each side. If most of the range clears the threshold, that is a recommendation to proceed with a monitoring plan; if the range straddles it, that is a recommendation to narrow the range first.
  5. Name what would narrow it and what that costs in weeks, then give one recommendation with an explicit condition for revisiting it. Uncertainty stated without a next step is read as indecision and the midpoint gets used anyway.

Follow-up

  • The executive says to give the midpoint and they will manage the risk. What do you do?
  • How does the slide change if the interval were a 4.6pp to 0.2pp drop, with no positive outcomes in range?
  • Why is a geo holdout the credible read here rather than the attributed channel numbers you already have?