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Bandwidth Data Scientist Interview Questions & Guide 2026

Case practice for Bandwidth data scientist candidates: scope a vague prompt into a measurable question before you analyze it.

The 60-second brief

A Data Scientist at Bandwidth plays a crucial role in unlocking insights from data to drive strategic decisions and enhance product offerings. This position is pivotal for transforming complex data sets into actionable intelligence, influencing both user experiences and business outcomes. By leveraging statistical analysis, machine learning, and data visualization techniques, you will help teams across the organization make data-informed decisions that enhance customer experiences and optimize operations.

Scope your preparation by the data you would actually touch, because the title will not tell you. A seat that lives in event logs and weekly readouts rewards fluency in aggregation and metric definitions; a seat that owns a model in production rewards fluency in train/serve skew, retraining cadence and drift monitoring. The fastest way to find out which one you are interviewing for is to ask what the team shipped last quarter and what it gets paged about.

Focus areas

  • Define numerator, denominator and window precisely
  • Size an experiment before anyone launches it
  • Turn a vague request into a measurable question

Overview

The impact of this role is felt across various products and teams, from improving telecommunication services to enhancing customer engagement through personalized communication strategies. As a Data Scientist, you will tackle challenging problems at scale, working with diverse data sources to develop models that inform product development, marketing strategies, and customer support initiatives. The complexity of the work is matched by its strategic importance, making this role both critical and intellectually stimulating.

The Bandwidth interview process

Bandwidth candidates report 2 rounds · ≈ 2-4 weeks. The stages below are what candidates describe, not a published process.

Recruiter Screening

Whoever runs this call is usually not a practitioner. They take notes, and a hiring manager skims those notes later, so the real question is whether your work survives being written down by someone outside the field. Test every project sentence against that: could a non-specialist repeat it correctly without knowing what a propensity score is? Carry a plain-language version of each project and one reason you want this particular role that you could not copy onto another application. Vagueness at this stage reads as inexperience, even when the underlying work was genuinely deep.

What to demonstrate

  • Whether a non-specialist can restate your projects accurately, since their paraphrase is what reaches the hiring manager
  • Whether your reason for wanting the role points at the work itself rather than the company's reputation
  • Whether your language signals the level being screened for: what you decided yourself versus what you were handed

How to prepare

  • Write a two-sentence, jargon-free version of each major project: the question nobody could answer, and the decision your work changed. Read it to someone outside data and have them repeat it back
  • Point your 'why this role' answer at something concrete in the job description or the product surface you would be working on, and keep it to two sentences
  • Have two questions ready about measurement: which metric the team is held to, and who acts on an analysis once it lands

Interviews with Hiring Managers

Underneath the questions about your past work sits a resourcing question. Given four things worth doing and one of you, which gets done and what happens to the rest? Managers ask because that is the daily texture of the job, and because the answer shows whether you rank work by effort or by what it changes. The weak version sorts by personal interest or by whoever asked most insistently. The strong version ties each candidate piece of work to a decision somebody downstream is waiting on, and then names the one you would drop and who you would tell.

What to demonstrate

  • Whether you rank work by the decision it unblocks or by how interesting the method is
  • How you describe a request you declined, and whether you can say who you said it to
  • Whether your sense of how long something takes survives one follow-up question about the messy part
  • How you decide something is good enough to hand over unfinished

How to prepare

  • Write out your current queue and, next to each item, the decision that stays stalled until it lands. Anything with no waiting decision becomes your example of work you would cut
  • Rehearse turning down a plausible stakeholder request out loud, including the smaller alternative you offered instead
  • Have one case where you shipped a rough answer early and one where you refused to, with the reason that separated them

Where candidates lose points

Slicing a flat experiment until a segment reaches significance

Testing one metric across twenty segments at a nominal 5% level produces a significant result about two thirds of the time when nothing is happening anywhere, and the segment that surfaces is by construction the one with the most favourable noise. The reported effect in that slice is then badly overstated, because selection on significance conditions the estimate on being large. What makes it dangerous rather than merely wrong is that a post-hoc segment always has a plausible story attached, so it survives the meeting. The controls are declaring the small number of segments of interest before launch, correcting across the ones tested, and treating anything discovered afterwards as a hypothesis that needs its own adequately-powered test rather than a finding.

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 an observational correlation as a causal effect

Name the confounder you are most worried about and the design that would remove it: an experiment, a difference-in-differences with a checked pre-period trend, an instrument, or a regression discontinuity. When none is available, state which direction the bias likely runs and bound the claim accordingly.

Stopping an experiment the moment it crosses significance

Fix the sample size or duration before launch, or use a method built for continuous monitoring such as a sequential test, always-valid confidence intervals, or group-sequential boundaries. Repeatedly checking a fixed-horizon p-value against 0.05 pushes the real false-positive rate well above 5 percent.

Questions & practice

What are the key differences between linear regression and logistic regression?

Medium · machine learning and modelling

Approach

  1. Say how the offline result would be validated online before it is trusted.
  2. Frame the prediction: the label, the moment of prediction, and the action it triggers.
  3. Pick an evaluation metric that matches the cost of each error type, not a default.

Follow-up

  • Where could label leakage enter this setup?
  • What would you monitor after launch to know the model is still valid?

Describe how you would evaluate the effectiveness of a predictive model.

Medium · machine learning and modelling

Approach

  1. Check what information would not exist at prediction time, and exclude it.
  2. Say how the offline result would be validated online before it is trusted.
  3. Frame the prediction: the label, the moment of prediction, and the action it triggers.

Follow-up

  • How would you choose the decision threshold, and who owns that choice?
  • What would you monitor after launch to know the model is still valid?

Rebuild per-visitor ordering without groupby convenience methods

Easy · pandas · vectorisation · window logic

You have a DataFrame of 2 million fct_event rows with visitor_id, occurred_at_utc and event_id, unsorted and containing duplicate timestamps within a visitor. Produce three new columns: event_rank, the 1-based position of the event within its visitor ordered by occurred_at_utc; seconds_since_prev, the gap to that visitor's previous event, NULL for the first; and is_first_for_visitor. You may use sort_values, shift, cumsum, numpy and boolean masking. You may not use groupby.transform, groupby.apply, groupby.cumcount, groupby.rank or merge_asof. Break timestamp ties on event_id.

Approach

  1. Sort once by ['visitor_id', 'occurred_at_utc', 'event_id'] and reset the index. The whole exercise reduces to row arithmetic on a sorted frame, and the tiebreak on event_id is what makes the result reproducible across runs.
  2. Mark visitor boundaries with is_first = df['visitor_id'].ne(df['visitor_id'].shift()). This is the single fact every other column derives from.
  3. Compute seconds_since_prev as the diff of the timestamp column, then overwrite it with NaT/NaN wherever is_first is True. The shift crosses the boundary between visitors and will otherwise hand the first row of each visitor the last event of the previous one.
  4. Build event_rank from a running counter that resets at boundaries: take a global cumulative position (np.arange(len(df))) and subtract, per row, the global position at which that visitor started. Get the start position by forward-filling the positions where is_first is True, which is a cumsum-free reset and is O(n).
  5. Verify against the forbidden method once, as a test rather than as the implementation, and confirm the two agree on every row.

Worked solution (20 min)

  1. Sort on the three-key tuple and reset_index(drop=True).
  2. Compute is_first via .ne(.shift()), which is True for row 0 because the shifted value is NaN.
  3. pos = np.arange(len(df)); start = pd.Series(np.where(is_first, pos, np.nan)).ffill(); event_rank = (pos - start + 1).astype(int).
  4. gap = df['occurred_at_utc'].diff().dt.total_seconds(); gap[is_first] = np.nan.
  5. Assert event_rank equals df.groupby('visitor_id').cumcount() + 1 on the sorted frame.

Expected result: Three columns on the sorted frame: event_rank starting at 1 for every visitor and increasing by 1 with no gaps, seconds_since_prev null exactly where is_first_for_visitor is True, and is_first_for_visitor summing to df['visitor_id'].nunique().

Verify it yourself

  • is_first_for_visitor.sum() equals the number of distinct visitor_id values.
  • seconds_since_prev.isna().sum() equals that same number.
  • event_rank.max() per visitor equals that visitor's row count, and event_rank is non-negative everywhere.
  • A visitor with two events at the identical timestamp gets ranks 1 and 2 with a gap of 0.0, ordered by event_id.

Follow-up

  • The frame does not fit in memory. How does your approach change if you can only process one visitor-partitioned chunk at a time?
  • occurred_at_utc is client-supplied and sometimes runs backwards within a visitor. Does your seconds_since_prev go negative, and should it?
  • How would you extend this to reset the counter at every change of surface as well as visitor?

Pair flow starts to completions within a thirty-minute bound

Medium · event-streams · conditional-aggregation · flow-funnel

fct_event holds event_id, flow_id, flow_instance_id, event_name, occurred_at_utc, surface, app_version. Using only rows where event_name is 'flow_started', 'flow_completed' or 'error_shown', compute the daily core-flow completion rate by surface and app_version. Numerator: distinct flow_instance_id whose flow_completed occurs within 30 minutes of its flow_started with no error_shown for the same instance in between. Denominator: distinct flow_instance_id with a flow_started that day. Report rows with a NULL flow_instance_id as a separate coverage count, not inside either side.

Approach

  1. Collapse the stream to one row per flow_instance_id using conditional aggregation: MIN(occurred_at_utc) FILTER (WHERE event_name = 'flow_started') AS started, MIN(...) FILTER (WHERE event_name = 'flow_completed') AS completed, MIN(...) FILTER (WHERE event_name = 'error_shown') AS first_error. This makes the 'first' semantics explicit and avoids a self-join entirely.
  2. Apply the predicates on that single row: completed IS NOT NULL AND completed <= started + interval '30 minutes' AND (first_error IS NULL OR first_error > completed). Note the last clause encodes 'in between' literally, so an error surfaced after a successful completion does not disqualify the attempt.
  3. Bucket by started::date, surface and app_version. Splitting by app_version is not decoration: a completion-rate regression is nearly always confined to one client build, and a pooled daily rate hides it behind the installed base.
  4. Count NULL flow_instance_id rows as a separate coverage figure. They cannot be attributed to an attempt at all, so they belong in neither numerator nor denominator, and their share tells you how much of the rate is unmeasurable.
  5. For any roll-up to week or to all surfaces, re-sum the numerator and denominator rather than averaging the daily rates.

Follow-up

  • occurred_at_utc is client-supplied. What do you do with an instance whose completion timestamp precedes its start?
  • flow_instance_id is missing on 4 percent of starts for one app_version. What can and cannot you conclude about that build?
  • An instance starts at 23:55 and completes at 00:04. Which day owns it, and what does the alternative do to the daily series?

Find reactivation gaps in account paid-period history

Hard · gaps-and-islands · window-functions · subscriptions

fct_subscription_period holds account_id, subscription_id, period_start_utc, period_end_utc, period_status and change_reason. A mid-period plan or seat change closes one row and opens another, so a single continuous paid tenure is often many rows, and an account may hold two overlapping subscriptions. Collapse rows with period_status in ('active','past_due') into continuous tenures per account, treating gaps of three days or less as continuous. Return account_id, tenure_start, tenure_end, and for every tenure after the first, the gap in days that preceded it.

Approach

  1. Filter to paid rows only: period_status IN ('active','past_due'). Trialing periods are not tenure, and including them turns every trial that never converted into a one-period tenure followed by a fake churn.
  2. Order by period_start_utc and take a running maximum of all prior ends: MAX(period_end_utc) OVER (PARTITION BY account_id ORDER BY period_start_utc, period_end_utc, subscription_id ROWS BETWEEN UNBOUNDED PRECEDING AND 1 PRECEDING). Those three columns are the only stable ordering this schema exposes, so check first that they are unique within an account; if rows tie on all three, the island numbering is order-dependent between runs and you need a real row key before the result is reproducible.
  3. LAG on its own is wrong here because with overlapping or nested periods the immediately preceding row by start date is not the one that ends latest, so the running maximum is the part that cannot be shortcut.
  4. Flag a new island when prior_max_end IS NULL OR period_start_utc > prior_max_end + interval '3 days', then number islands with a running SUM of the flag over the same ordering and an explicit ROWS frame.
  5. Group to (account_id, island) taking MIN(period_start_utc) and MAX(period_end_utc), then LAG(tenure_end) OVER (PARTITION BY account_id ORDER BY tenure_start) to compute the preceding gap in days for every tenure after the first.
  6. Sanity-check with change_reason, which is the only lineage this schema carries: list its distinct values first, then confirm that rows recording a plan or seat change sit inside a tenure rather than opening one, and that every tenure after the first opens on a row whose reason records a restart rather than an ordinary renewal. Do not reconcile against a churn timestamp on dim_account, which this schema does not define; and where such a column does exist, a cancellation timestamp records when the request was made and routinely sits weeks before the period it ends.

Worked solution (35 min)

  1. Find an account with a known mid-period upgrade and dump its period rows to use as the trace case.
  2. Check that (period_start_utc, period_end_utc, subscription_id) is unique per account, since the whole ordering rests on it.
  3. Write the paid-rows CTE and the running MAX with the explicit frame.
  4. Add the island flag and the running SUM, then verify the trace account yields one island.
  5. Group to tenures and add the LAG-based gap in days.
  6. List the distinct change_reason values, then count accounts with more than one tenure and compare against the count of accounts carrying a restart-flavoured reason anywhere in their history.

Expected result: One row per (account_id, tenure). An account with a continuous history returns a single row with a NULL preceding gap. Every non-first tenure has gap_days strictly greater than 3 by construction.

Verify it yourself

  • No two tenures for the same account overlap or touch within the grace window.
  • MIN(tenure_start) per account equals MIN(period_start_utc) per account in the filtered input.
  • The account with a known mid-period upgrade produces one tenure, not two.
  • (period_start_utc, period_end_utc, subscription_id) has no duplicates within an account; if it does, say how many accounts are affected before reading the output.
  • The share of accounts with more than one tenure is small; if it is most accounts, the status filter or the grace window is wrong.

Follow-up

  • Why three days of grace? What do 0 and 30 days each do to the count of accounts classed as reactivated?
  • An account runs two concurrent subscriptions for different teams. One tenure or two, and what does the revenue reader expect?
  • How would you turn these tenures into a monthly gross logo churn series without double-counting an account that churned and returned in the same month?

Can you walk us through how you would analyze a dataset to derive insights for a marketing campaign?

Medium · product sense and metrics

Approach

  1. State what result would change your recommendation, so the answer is falsifiable.
  2. Decompose the metric into the rates that drive it, and say which one you would check first.
  3. Restate the decision this analysis has to support, and who acts on the answer.

Follow-up

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

How do you prioritize your work when managing multiple projects?

Medium · product sense and metrics

Approach

  1. Restate the decision this analysis has to support, and who acts on the answer.
  2. State what result would change your recommendation, so the answer is falsifiable.
  3. Name one primary metric, then the guardrail that stops it being gamed.

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?

How would you approach predicting customer churn?

Medium · product sense and metrics

Approach

  1. Decompose the metric into the rates that drive it, and say which one you would check first.
  2. Name one primary metric, then the guardrail that stops it being gamed.
  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 set of user engagement data, how would you identify trends and recommend actions?

Medium · product sense and metrics

Approach

  1. State what result would change your recommendation, so the answer is falsifiable.
  2. Name one primary metric, then the guardrail that stops it being gamed.
  3. Decompose the metric into the rates that drive it, and say which one you would check first.

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?

What steps would you take to design an A/B test for a new product feature?

Medium · a/b testing and experimentation

Approach

  1. State the primary metric and the minimum effect worth shipping, then size the test.
  2. Name the guardrails that would stop a launch even on a positive primary result.
  3. Say whether units interfere with each other, and switch design if they do.

Follow-up

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

How would you handle missing data in a dataset?

Medium

Approach

  1. State your assumptions explicitly before working the problem.
  2. Work from the decision backwards to the evidence you would need.
  3. Clarify what is being asked and what a complete answer would contain.

Follow-up

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

Size an activation test before anyone writes code

Easy · power · minimum detectable effect · proportions

A team wants to test a new onboarding checklist against the seven-day activation rate: users with is_core_action = TRUE events on at least two distinct UTC dates inside the first seven days, counted from dim_user.account_created_at_utc with is_internal = FALSE. Baseline is 22%. Weekly non-internal signups are 9,000, split evenly between two arms. State the minimum detectable effect after two weeks of enrolment, the enrolment needed to detect a 1.5 percentage point absolute lift, and the earliest date a readout would be honest.

Approach

  1. Use the two-proportion sizing shortcut n = 16 p(1-p) / d^2 per arm, where d is the absolute lift. The 16 is 2(1.96 + 0.84)^2 = 15.7 rounded, i.e. two-sided alpha 0.05, 80% power, equal arms.
  2. Invert it for the MDE at fixed n: d = sqrt(16 p(1-p) / n). Two weeks gives 9,000 per arm, so d = sqrt(2.746 / 9000) = 0.0175, which is 1.75 percentage points absolute or 7.9% relative on a 22% base.
  3. Run it forward for d = 0.015: n = 2.746 / 0.000225 = 12,202 per arm, 24,404 total, about 2.7 weeks of enrolment. Round up to three whole weeks so the enrolment window contains no partial week, since signups are not uniform across weekdays.
  4. Add the metric's own lag rather than reporting the enrolment end date. Activation is unobservable until seven days after the last enrolled signup, and the definition publishes on an eight-day lag, so the readout lands 29 days after launch.
  5. Close by testing whether the ask is realistic. If the team's honest prior is a 0.5pp lift, the requirement is about 110,000 per arm and roughly 24 weeks of enrolment, and saying so before launch is the deliverable.

Worked solution (20 min)

  1. Compute p(1-p) = 0.22 x 0.78 = 0.1716 and 16 x 0.1716 = 2.746.
  2. MDE at two weeks: n = 4,500 per arm per week x 2 = 9,000; d = sqrt(2.746 / 9000) = 0.0175.
  3. Sample for d = 0.015: n = 2.746 / 0.000225 = 12,202 per arm, which is 2.71 weeks of enrolment, so enrol three whole weeks.
  4. Readout date = 21 days of enrolment + 8 days of follow-up and publication lag = 29 days from launch.
  5. State the boundary of what this quarter can answer: below roughly 0.7pp the requirement passes 56,000 per arm and more than a full quarter of enrolment.

Expected result: MDE after two weeks is 1.75 percentage points absolute, 7.9% relative. Detecting 1.5pp needs 12,202 users per arm, so three weeks of enrolment and a readout 29 days after launch. Detecting 0.5pp needs about 110,000 per arm, roughly 24 weeks, which is the answer the team needs to hear before the code is written.

Verify it yourself

  • MDE must fall as 1 / sqrt(n). Doubling enrolment from two weeks to four should move 1.75pp to 1.24pp, not to 0.88pp.
  • Substituting d = 0.0175 back into 16 p(1-p) / d^2 must return about 9,000 per arm.
  • An exact two-proportion calculator at alpha 0.05 two-sided, power 0.80, p1 = 0.22, p2 = 0.235 returns about 12,260 per arm, within half a percent of the shortcut.

Follow-up

  • The team also wants trial-to-paid read from the same test. What does a second primary metric do to your alpha, and what would you actually do about it?
  • Signups are heavier on weekdays. What goes wrong if enrolment runs 17 days instead of 14?
  • The activation definition uses a two-distinct-days threshold. If that were loosened to one day, what happens to the baseline rate and to the sample you need?

Size every candidate cause of a trial-to-paid decline

Hard · cohort-maturity · experiment-readout · mix-shift · contribution-sizing

Trial-to-paid conversion on weekly trial-start cohorts from fct_subscription_period reads 3.1 points below the trailing eight-week mean for the three most recent cohorts. Three things happened in that window: a pricing experiment reached 50% of new trials, a payment processor migration added settlement delay, and paid_search spend tripled. Using fct_subscription_period, fct_experiment_exposure and dim_user, rank the causes by their contribution in points of the headline, state the remainder, and give the decision you would take on Monday.

Approach

  1. Kill the immature cohorts first, because everything downstream is computed on them. The metric is lagged by the trial length plus a 14-day conversion window plus a settlement allowance, and a processor migration lengthens exactly that last term; recompute each cohort at a fixed cohort age rather than as of today, and confirm the newest cohort's value is still climbing day over day.
  2. Hold the experiment analysis to the exposed population. Join fct_experiment_exposure on unit_id with is_in_analysis_population = TRUE rather than reading an assignment log, then check the variant split for a sample-ratio mismatch before believing any effect at all. Contribution to the headline is the variant effect multiplied by the exposed share, which is not the same number as the variant effect.
  3. Decompose the cohort mix by dim_user.first_touch_channel using the same weight-times-rate arithmetic as any other mix question, so the paid_search increase is sized as a weight change at a measured conversion rate rather than asserted from the spend figure.
  4. Convert all three to points of the headline, sum them, and print the residual against the historical week-to-week standard deviation of the metric. If the residual is inside that band, say so and stop looking; if it is outside, name what you would investigate next rather than leaving it implied.
  5. Land the decision. Only one of the three is actionable on Monday, so state whether the experiment has accrued enough exposed units to stop at the pre-declared horizon, and state separately what the settlement-lag correction does to the published series and its lag rule.

Follow-up

  • How do you choose the fixed cohort age, and what do you lose by choosing it too long?
  • If the pricing variant is genuinely 1.2 points worse, does that settle whether to stop it? What else is on the other side of that decision?
  • The trailing eight-week mean spans the processor migration. What is the right baseline instead?

Suggested practice checklist

For someone who has spent the last year in notebooks, dashboards or modelling work and has not written raw SQL under time pressure. The first four days rebuild query fluency against a fixture you control and can verify by hand; the last three attach that fluency to the rest of the loop.

Day 1 — Build a fixture you can check answers against

  • Create a local Postgres or SQLite database with four tables (users, sessions, events, orders) holding roughly 200 rows you generated yourself, so you know the contents well enough to predict every result.
  • Deliberately seed the cases that break queries: a user with no sessions, a session with no events, two orders sharing a timestamp, a NULL in one join key, and one duplicated user row.
  • Before writing any SQL, hand-compute five answers on paper (how many users placed at least one order, median orders per ordering user, and three others) and save them as the ground truth for the week.

Deliverable: A one-command seed script plus a text file of five hand-computed answers to grade every later query against.

Day 2 — Joins, filters and NULL semantics

  • Answer "which users have no orders" three ways (LEFT JOIN with IS NULL, NOT EXISTS, NOT IN) and confirm that the NOT IN version returns zero rows once the subquery contains a NULL, because the comparison is never TRUE.
  • Reproduce the LEFT JOIN that silently collapses to an inner join by putting a right-table predicate in WHERE, then fix it by moving the predicate into the ON clause, and record both row counts.
  • Create a fan-out bug on purpose by joining orders to order_items and summing the order total, then correct it with a pre-aggregated subquery and explain in one line which table changed the grain.

Deliverable: One annotated .sql file holding the three join traps, each with the wrong result and the corrected result side by side.

Day 3 — Window functions and frames

  • Write three window queries against the fixture: a running order total per user, the rank of each order within its user by value, and the day gap to that user's previous order, then check each against the day-one ground truth.
  • Run ROW_NUMBER, RANK and DENSE_RANK over a column containing ties, print all three side by side, and write one sentence on when each is the correct choice.
  • Switch one query from the default frame (RANGE BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW, which is what you get when ORDER BY is present and no frame is written) to ROWS BETWEEN UNBOUNDED PRECEDING AND CURRENT ROW, and explain why the output differs only when the ORDER BY column has duplicates.

Deliverable: Three verified window queries plus a short note explaining the RANGE versus ROWS difference in your own words.

Day 4 — The four analytical query patterns

  • Write a monthly retention grid: first order month per user, then months-since-first as the column, and verify that month zero equals the cohort size exactly.
  • Sessionize the events table under a 30-minute inactivity rule using LAG plus a cumulative sum over a new-session flag.
  • Build a four-step funnel that counts distinct users rather than events at each step, and state the rule you applied to a user who reaches step three without ever logging step two.

Deliverable: One file with the retention, sessionization and funnel patterns, each carrying a one-line note on the assumption it bakes in.

Day 5 — Write SQL the way you will have to write it live

  • Set a 12-minute timer and solve three medium prompts in a plain editor with no execution and no autocomplete, then run them and tally syntax errors separately from logic errors.
  • Narrate one solution aloud while writing it, stating the grain of each intermediate result (one row per user, one row per user-day) before you type its body.
  • Rewrite your slowest solution as a CTE chain where every CTE name states its grain, and time yourself re-solving it from blank.

Deliverable: A recording of one narrated solution plus an error tally that separates syntax from logic.

Day 6 — One day for everything that is not SQL

  • Write the preconditions of the two-sample t-test from memory, then check them: independent observations, and a difference in means whose sampling distribution is approximately normal, which at large sample sizes follows from the central limit theorem rather than from normality of the raw values.
  • Write the difference between an odds ratio from logistic regression and a relative risk, and state the condition under which the two are close (low outcome prevalence).
  • Prepare a 90-second answer to "how would you know this model is any good" that names the metric, the baseline you would beat, and the cost of the errors you care about.

Deliverable: One page of notes covering test preconditions, the odds-ratio caveat and the model-quality answer.

Day 7 — Full loop rehearsal

  • Run a 45-minute mock with someone willing to interrupt: 20 minutes of SQL, 15 minutes defining a metric, 10 minutes on a past project.
  • Re-solve from blank the two queries you were slowest on this week and compare the times against day five.
  • Write a five-line answer to "walk me through a project" that puts a number in the first sentence and names the decision the work changed.

Deliverable: Mock feedback notes plus a timed project narrative you can deliver without reading it.

The project you argued against

Saying no well is a senior skill and it is rarely rehearsed. Think of a time you told someone their analysis was not worth doing, or that the experiment could not answer their question at the sample size available. Explain what you offered instead. Refusal without an alternative reads as obstruction rather than judgement.

Describe a time when you had to persuade stakeholders to adopt your recommendations.

Medium · behavioural and stakeholder questions

Approach

  1. Name the disagreement or constraint, and how you resolved it with evidence.
  2. Quantify the outcome, including what you would not claim credit for.
  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?

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?

Disagree with a product manager's roadmap claim using data

Medium · causal inference · selection bias · stakeholder

A product manager proposes building a feature on the argument that accounts connecting an integration in week one retain three times better at week four. The figure is correctly computed from dim_user and fct_event, and it has already been shown to leadership. You have one scheduled 1:1 before the roadmap locks. Deliver the specific analysis you would run to test whether the relationship is causal, the result that would change your own mind, and how you open the conversation so that the PM is not put in the position of defending the number in public.

Approach

  1. Recognise what is being probed: whether you can separate a number being right from an inference being wrong, and do it without costing the PM face. The generic answer recites that correlation is not causation; the strong one names the specific confound and proposes the cheapest design that could distinguish the explanations.
  2. State the alternative concretely. Accounts that connect an integration in week one are accounts that already have a workflow and a technical owner, so week-one intent plausibly drives both the connection and week-four retention. The selection is on intent, which no amount of post-hoc adjustment observes.
  3. Order the discriminating analyses by cost. First, condition on pre-connection activity by comparing retention within strata of week-one core-action count, which removes the crude version of the confound but not unobserved intent. Second, look for variation in integration availability that was unrelated to intent, such as a staggered release or an outage window. Third, an encouragement design that randomises a prompt to connect and reads the intent-to-treat effect on week-four retention, which is the only version that identifies an effect.
  4. Run the timing check, because it is nearly free and it is the most persuasive single piece of evidence. If the retention advantage among connectors is already visible before any of them connected, the causal story is largely finished.
  5. Pre-commit to what would change your mind and say it before you show anything: if the gap survives stratification and the encouragement arm moves week-four retention at all, the feature has a case and you will say so.
  6. Open the 1:1 by agreeing with the true part, that the correlation is real and worth chasing, then ask what effect size the roadmap plan assumes. That makes the size of the claim the topic instead of its authorship.

Follow-up

  • The encouragement test needs six weeks and the roadmap locks in two. What do you recommend in the interim?
  • Stratifying on week-one activity closes half the gap. What do you conclude, and what do you still not know?
  • How would you word this in the roadmap document so the PM's original number is reframed rather than deleted?