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Concurrent Technologies Data Scientist Interview Questions & Guide 2026

Timed data scientist practice for Concurrent Technologies: short SQL and probability sets run end to end, then scored against a rubric.

The 60-second brief

As a Data Scientist at Concurrent Technologies Corporation (CTC), you are at the intersection of advanced research and national security. You are not just building models; you are developing mission-critical solutions that process multi-modal data streams—including radar, EO/IR, and RF—to provide actionable intelligence for defense and intelligence stakeholders. Your work directly influences how the organization detects, assesses, and anticipates emerging threats in dynamic, high-stakes environments.

Nearly every loop contains a round whose deliverable is a recommendation to someone non-technical. Practise stating a conclusion, the confidence attached to it, and the cost of being wrong in each direction, because that triple is the artifact being graded.

Focus areas

Analyse at the account grain, cluster errors
Measure churn only on renewal-eligible accounts
Strip CI, retry and synthetic traffic first

Overview

This role is inherently collaborative and multidisciplinary. You will work alongside engineering and mission teams to translate complex sensor phenomenology into real-time analytical tools. Whether you are applying state estimation algorithms like Kalman filters or developing signal exploitation models, your contributions are expected to bridge the gap between abstract mathematical modeling and tangible operational capability.

Given the nature of the work, demonstrate a clear passion for mission-critical problem solving. Interviewers look for candidates who understand that their technical output has real-world consequences for national defense.

Where to focus your preparation

Treat the sections below as preparation areas and confirm the format with your recruiter.

Preparation focus

No round sequence has been reported for this company, so work the categories below and confirm the format with your recruiter.

What to demonstrate

Breadth across SQL, experimentation and product reasoning
Ability to state assumptions before choosing a method

How to prepare

Drill the practice exercises below and time yourself
Prepare three quantified stories about decisions you drove

Where candidates lose points

Comparing accounts that received a sales or customer-success touch against those that did not

Assignment of coverage is deliberate and pulls in both directions at once: the largest accounts get a named owner because they are valuable, and the accounts showing distress get one because they are at risk. The comparison therefore mixes a strong positive selection with a strong negative one, and the naive estimate can come out with either sign depending on which assignment rule dominated during the period examined. Nothing about matching on observed size fixes this, because the risk signal that triggered coverage is usually the same signal that predicts the outcome. It needs either an actual randomised or staggered rollout of coverage, or a design built on a capacity constraint or territory boundary that assigns coverage for reasons unrelated to account health.

Computing monthly churn against the entire customer base when contracts are annual

An annual contract has no opportunity to churn except at its renewal date, so an account that is eleven months from renewal is in the denominator while being incapable of appearing in the numerator. The resulting rate is smaller than the real one by roughly the ratio of the base to the renewal-eligible base, and it oscillates with the seasonality of when deals were originally signed rather than with anything about the customers. The corresponding trap on the other side is counting a churn on the date the record was updated rather than on term_end_date, which shifts losses into whichever month the operations team did its paperwork.

Reading experiment results before checking the arm split

Compare observed arm counts against the intended allocation ratio, not an assumed even split, and set the alarm far below the conventional 0.05: at 0.05 roughly one healthy experiment in twenty trips it, which is why sample-ratio checks usually run at p < 0.001 or stricter. The test's power scales with sample size, so it misses a real diversion on a small experiment and fires on an imbalance too small to move the estimate on a very large one. A flag means go find the assignment or logging fault before reading any outcome, not report a mismatch.

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.

Questions & practice

Sessionise an API event stream with a 30-minute inactivity gap

Medium · sessionisation · event-streams · pandas

fct_api_request arrives as a DataFrame with account_id, user_id, request_at (tz-aware UTC), traffic_class and http_status, roughly 5 million rows. Assign a session_id to every human-attributable request: drop rows where user_id is null or traffic_class is in ('ci','synthetic_monitor','load_test'), then open a new session whenever the gap since that user's previous remaining request exceeds 30 minutes. Return the filtered frame plus session_id, and a per-session summary with user_id, account_id, session start, session end and request count. Do not loop over rows.

Approach

Settle the filter-then-gap ordering before writing code. Removing CI and synthetic rows changes the gaps, so sessionising the raw stream and filtering afterwards is a different answer; the definition given filters first, and the two diverge most for accounts whose CI runs every ten minutes.
Sort once by (user_id, request_at) with a stable kind, then gap = df.groupby('user_id', sort=False).request_at.diff(). The first row of each user yields NaT, which is exactly the boundary condition you want rather than a special case to patch.
new_session = gap.isna() | (gap > Timedelta(minutes=30)); session_id = new_session.cumsum(). The cumsum runs over the whole sorted frame and therefore produces globally unique ids in one pass; a per-user cumcount collides across users and forces a composite key on every downstream join.
Build the summary with a single groupby('session_id').agg(...). user_id and account_id can be carried with 'first' only because the sort key groups them — state that dependency, since it silently breaks if someone later re-sorts the frame.
Decide explicitly what a session means when one user_id holds memberships in several accounts: either add account_id to the sort and group keys, or document that sessions may cross accounts. Leaving it undecided produces sessions whose account_id is whichever row sorted first.

Worked solution (30 min)

human = df[df.user_id.notna() & ~df.traffic_class.isin(['ci','synthetic_monitor','load_test'])].sort_values(['user_id','request_at'], kind='mergesort').reset_index(drop=True)
gap = human.groupby('user_id', sort=False).request_at.diff(); human['session_id'] = (gap.isna() | (gap > pd.Timedelta(minutes=30))).cumsum()
summary = human.groupby('session_id').agg(user_id=('user_id','first'), account_id=('account_id','first'), start=('request_at','min'), end=('request_at','max'), n_requests=('request_at','size')).reset_index()
assert summary.n_requests.sum() == len(human) and human.groupby('session_id').user_id.nunique().max() == 1

Expected result: human gains a dense session_id increasing in (user_id, request_at); summary has exactly one row per session, n_requests sums to len(human), and every within-session consecutive gap is at most 30 minutes while every same-user between-session gap exceeds it.

Verify it yourself

summary.n_requests.sum() == len(human); no request is lost or double-counted.
human.groupby('session_id').user_id.nunique().max() == 1.
human.groupby('session_id').request_at.diff().max() <= pd.Timedelta(minutes=30).
Shifting every timestamp by a constant offset leaves the session count unchanged.

Follow-up

Where does 30 minutes come from, and how would you pick it from this data instead of from convention?
An engineer reused their personal key for a nightly batch job, so machine traffic carries a human user_id. How would you detect that, and should those requests form sessions?
How much does the session count change if you sessionise before dropping CI traffic rather than after?

Quantify billable volume created by retries after server errors

Hard · telemetry-hygiene · pandas · unit-economics

From fct_api_request (request_id, account_id, endpoint, idempotency_key, is_retry, http_status, request_at, billable_units), measure how much billable volume in a 28-day window is retry traffic that followed a 5xx. Group requests into attempt chains by (account_id, endpoint, idempotency_key) ordered by request_at; a request is error-driven if any earlier attempt in its chain returned 5xx. Requests with a null idempotency_key cannot be chained, so report them as their own class rather than assuming each is unique. Return billable_units split into first-attempt, error-driven retry, other retry and unchainable, per account.

Approach

Split the population before measuring anything. A null idempotency_key is not a chain of one, it is an unknown; report its share of billable_units first, because if it is 40% of volume then the headline estimate is a lower bound and the deliverable has to say so.
Within chainable rows, sort by (account_id, endpoint, idempotency_key, request_at) and derive 'any earlier attempt failed' with arithmetic rather than a per-group lambda: with is5 = (http_status >= 500), the per-chain cumsum minus the row's own value is positive exactly when an earlier attempt in that chain returned 5xx. A groupby-apply gives the same answer and is unusable at five million rows.
Do not take is_retry as the definition. It is set by the client whenever an idempotency_key is resent, which covers retries after client-side timeouts and after 4xx as well; compute the flag yourself and then cross-tabulate it against is_retry, because the disagreement is a finding in its own right.
Aggregate billable_units by (account_id, class) and assert the classes sum to each account's total. The spine sets billable_units to zero on 5xx responses, so the failed attempt contributes nothing and the whole inflation sits in the successful retry that follows it.
Report the per-account share and look at its distribution, not the fleet total. One account in a retry storm dominates any blended figure, which is the same failure that makes a fleet-wide error rate useless.

Follow-up

An account's error-driven share is 22%. Is that the platform's fault or the client's, and what do you look at next?
How would you define a consumption-based north-star metric that an outage cannot inflate?
Chains straddle the 28-day boundary. How large is that bias and in which direction?

Simulate how the renewal calendar distorts monthly churn rates

Medium · simulation · churn · numpy · cohorts

Simulate 1,200 accounts on annual contracts. Draw each account's renewal month from a deliberately lumpy calendar: 30% renew in January and the remaining 70% are spread evenly over the other eleven months. At each renewal an account churns with probability 0.18, independent of month; survivors renew and come back twelve months later. Run 24 simulated months. For each month compute two rates: churned accounts over all live accounts, and churned accounts over accounts whose term ended that month. Report the mean and the month-to-month standard deviation of each series, and state which one belongs in an executive summary.

Approach

Build the panel with numpy state arrays rather than a per-account loop: a next_renewal_month vector, an alive boolean vector, and a loop over the 24 months only. Looping over 24 months is fine; looping over 1,200 accounts inside it is what makes the simulation too slow to iterate on.
Maintain the live set honestly. An account that churned in month m must leave the denominator from m+1 onward and can never be renewal-eligible again; if it stays, the naive rate drifts downward for reasons that have nothing to do with churn and the calendar effect gets buried.
Compute both series over the same months and compare dispersion, not only level. The eligible-base rate should sit near 0.18 with binomial noise scaled by that month's renewal count; the naive rate spikes in January and collapses in thin months.
Quantify the gap instead of describing it: the ratio of the two means is roughly the reciprocal of the average monthly renewal-eligible fraction, and the naive series' standard deviation is driven by the signing calendar rather than by customer behaviour.
Check against the closed form before trusting the output. With the live set maintained correctly the eligible-base rate is an unbiased estimator of 0.18 in every month, so a systematic offset means the bookkeeping is wrong, not that the simulation found something.

Follow-up

Compounded over twelve months the naive rate lands close to the true annual churn. Does that rescue it?
How would you report churn in a month where only nine accounts were renewal-eligible?
Eighteen-month terms are now being sold alongside annual ones. What breaks?

Sessionise interactive API traffic with a thirty-minute inactivity gap

Medium · window functions · sessionisation · gaps and islands

fct_api_request carries account_id, user_id (null for service accounts), request_at, traffic_class and http_status. Using only traffic_class = 'interactive' rows with a non-null user_id, group each seat's requests into sessions on a 30-minute inactivity threshold: a request more than 30 minutes after the previous request from the same (account_id, user_id) opens a new session. For one ISO week return, per account, the session count, the median session duration in minutes and the median requests per session. A single-request session has a duration of zero.

Approach

Filter first: traffic_class = 'interactive' and user_id IS NOT NULL. Machine traffic has no sessions in any useful sense, and leaving CI or batch rows in produces sessions that are really cron schedules.
Get the previous timestamp with LAG(request_at) OVER (PARTITION BY account_id, user_id ORDER BY request_at). Partitioning by user_id alone stitches one person's work across two different accounts into one fabricated session, because a human holds memberships in several accounts.
Flag a boundary where the lag is NULL or request_at - lag > interval '30 minutes'. Decide and state whether exactly 30 minutes continues the session; strictly greater is the conventional choice and needs to be written down either way.
Assign session ids with SUM(boundary::int) OVER (PARTITION BY account_id, user_id ORDER BY request_at ROWS UNBOUNDED PRECEDING), the standard running-count construction for islands.
Roll up to sessions with min(request_at), max(request_at) and count(*), then to accounts with percentile_cont(0.5) WITHIN GROUP (ORDER BY ...). Use medians, not means: session length is strongly right-skewed and one long-running client dominates the average.

Worked solution (30 min)

Build the filtered week: interactive rows with user_id IS NOT NULL inside [week_start, week_start + 7 days).
Add prev_at via LAG(request_at) OVER (PARTITION BY account_id, user_id ORDER BY request_at) and derive is_new_session = (prev_at IS NULL OR request_at - prev_at > interval '30 minutes').
Add session_seq = SUM(is_new_session::int) OVER (PARTITION BY account_id, user_id ORDER BY request_at ROWS UNBOUNDED PRECEDING).
Aggregate to sessions by (account_id, user_id, session_seq) taking min, max and count, with duration_minutes = EXTRACT(EPOCH FROM max - min) / 60.
Aggregate to accounts with count(*) AS sessions, percentile_cont(0.5) WITHIN GROUP (ORDER BY duration_minutes) and percentile_cont(0.5) WITHIN GROUP (ORDER BY request_count).

Expected result: One row per account with session_count, median_session_minutes and median_requests_per_session, computed over interactive human traffic only, where a lone request yields a session of duration zero and request count one.

Verify it yourself

Summing request_count across all sessions equals the filtered row count for the week exactly.
Every session duration is non-negative, and no two consecutive requests inside one session are more than 30 minutes apart when you re-derive the LAG within sessions.
Recomputing with the partition on user_id alone yields strictly fewer sessions and longer medians for any account sharing users with another account, which confirms the partition key matters.

Follow-up

Sessions belonging to colleagues in one account are correlated. What does that do to a t-test on session length across an experiment arm?
A long-poll or streaming endpoint keeps a connection open for hours. How do you stop it reading as one twelve-hour session?

Monthly account margin joined as-of the live contract version

Medium · as-of join · fan-out · scd2 · unit economics

fct_usage_daily carries account_id, usage_date, net_amount_cents and cogs_cents. fct_subscription_period carries account_id, plan_tier, term_start_date, term_end_date, booked_at and is_current, with one row per contract version, so several superseded versions can bracket the same usage_date. dim_account is a type 2 dimension keyed on account_id with employee_band, is_internal, effective_from, effective_to and is_current. Return monthly net revenue, allocated COGS and gross margin per account, labelled with the plan_tier in force during that month and the employee_band in force at month end. The reported figure excludes internal accounts, so it cannot equal the raw sum of net_amount_cents; reconcile additively instead, quantifying every bucket you drop so the reported and dropped amounts add back to that raw sum.

Approach

Aggregate fct_usage_daily to one row per (account_id, month) before touching any dimension. Aggregating after the join is what multiplies revenue, and no amount of DISTINCT afterwards recovers the right number.
Resolve the contract as-of the month rather than as-of now. Take fct_subscription_period rows whose term brackets the month, then rank with ROW_NUMBER() OVER (PARTITION BY account_id, month ORDER BY booked_at DESC, subscription_period_id DESC) and keep rank 1. Filtering on is_current instead backdates today's plan over last year's usage and quietly rewrites history.
Resolve dim_account with the half-open interval effective_from <= month_end AND (effective_to > month_end OR effective_to IS NULL). The NULL on the live version has to be spelled out or the current row drops out of every recent month.
Compute margin as (sum(net_amount_cents) - sum(cogs_cents)) / NULLIF(sum(net_amount_cents), 0) at the account-month grain, and report the distribution rather than a blended rate so margin-negative accounts stay visible.
State the month-straddling rule explicitly: either split the month at the amendment date or take the version in force at month end. Both are defensible; an unstated choice is not.
Reconcile additively, not by equality to the unfiltered total. The output deliberately drops two populations: account-months whose as-of dim_account version carries is_internal = true, and account-months with no fct_subscription_period version bracketing the month, which an inner join on the contract removes without saying so. The statement that ties out is reported_net + internal_net + unmatched_net = sum(net_amount_cents) over the same usage_date range. Plain equality to the raw sum would only hold if both dropped buckets were empty, and the internal one never is.
Compute the internal bucket with the identical as-of rule used for the output, evaluating is_internal on the dim_account version in force at that month end. Reading is_internal from the current version instead moves accounts between the two sides of the identity and it stops closing.

Follow-up

An account amends mid-month from team to enterprise. Show what your query reports and argue for one attribution rule over the other.
Your monthly total disagrees with the finance figure by a small amount. Where would you look first, and which number do you defend?

Explain the trade-offs between particle filters and extended Kalman filters in a high-noise environment.

Medium · product sense and metrics

Approach

Restate the decision this analysis has to support, and who acts on the answer.
State what result would change your recommendation, so the answer is falsifiable.
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?
How would you detect that the metric is being gamed rather than genuinely improving?

How do you approach feature extraction for time-series data originating from RF or sensor streams?

Medium

Approach

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

Follow-up

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

How would you implement a Kalman filter for a tracking system with non-linear dynamics?

Medium

Approach

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

Follow-up

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

Pick the randomisation unit when workspaces and queues are shared

Medium · interference · randomisation-unit · clustering · switchback

A collaboration feature was tested by randomising 18,000 users 50/50. dim_user_membership shows a median of 9 activated, non-service users per paying account, and weekly successful interactive requests per user carries an intra-class correlation of 0.25 within an account. The reported lift is 4% at p = 0.05. Separately, the same team wants to evaluate a change to the admission-control queue, which is shared by every account in a region. Give the correct randomisation unit for each test, the effective sample size and corrected p-value for the first, and the design for the second.

Approach

Separate the two failures of user-level randomisation, because they need different fixes and only one of them is a variance problem. Interference: a treated colleague changes a control colleague's behaviour inside a shared workspace, which biases the estimate toward zero. Correlated outcomes: users inside an account are not independent draws, which understates the variance. Clustering the standard errors fixes the second and leaves the first entirely intact.
Compute the design effect: 1 + (m - 1) * rho = 1 + 8 * 0.25 = 3.0. Effective sample is 18,000 / 3 = 6,000 users, corresponding to roughly 2,000 accounts. Standard errors are understated by sqrt(3) = 1.73, so a reported t of 1.96 is really 1.13 and the honest two-sided p is about 0.26, not 0.05.
Re-run the first test randomised on account_id with inference clustered on account_id, or equivalently as a regression on account-level means. The account-means version is the conservative one and is usually easier to defend to a non-specialist audience, at the cost of some efficiency when cluster sizes are very unequal.
For the queue change, account randomisation fails too, and for a different reason: treated and control accounts contend for the same finite capacity, so the control arm is mechanically affected by the treated arm and the contrast estimates a property of a mixed system rather than the effect of the policy. Randomise time instead, with a switchback alternating the admission policy at the region-by-30-minute-slot level.
Specify the switchback so it is actually valid. Impose a washout at the start of each slot at least as long as the p99 queue drain time and discard requests enqueued before the switch; randomise slot order rather than strictly alternating, because a fixed alternation aliases with the hourly and weekday traffic cycle; block on hour-of-day so both policies see peak and trough; and cluster inference on the slot, which is the unit that was randomised.
State the power consequence plainly: the cluster count is slots, not requests. Fourteen days of 30-minute slots gives 672 slots, and the variance to plan against is between-slot variance in the outcome, which is far larger than between-request variance and is what makes switchbacks expensive.

Worked solution (30 min)

Compute the design effect 1 + (9 - 1) * 0.25 = 3.0 and the effective sample 18,000 / 3 = 6,000 users, about 2,000 accounts.
Inflate the standard error by sqrt(3) = 1.732, convert the reported t of 1.96 to 1.13, and read off a two-sided p of about 0.26.
Recompute the same contrast on account-level means as an independent check that does not depend on the pilot's rho estimate.
Lay out the switchback: region-by-30-minute slots, randomised order, washout equal to the p99 drain time, blocking on hour-of-day, inference clustered on slot, 672 slots over fourteen days.

Expected result: Design effect 3.0, effective sample about 6,000 users or 2,000 accounts, corrected two-sided p about 0.26. The 4% lift is not significant once clustering is respected and is additionally biased toward zero by within-workspace spillover. The queue change is run as a randomised-order switchback with slot-level clustering and a drain-time washout, not as an account-level split.

Verify it yourself

The design effect depends only on cluster size and intra-class correlation: it must collapse to 1 when rho = 0 and when m = 1. If your expression does not, it is not the design effect.
An account-means regression and a user-level regression with cluster-robust standard errors should give similar standard errors. A large gap indicates very unequal cluster sizes, in which case the means version needs weighting.
The switchback's sample size is slots, not requests. If your power calculation cites a sample in the millions, you have counted requests and will badly overstate precision.

Follow-up

The intra-class correlation was estimated at 0.25 from a 300-account pilot. If it is really 0.40 the design effect becomes 4.2. How do you plan under that uncertainty rather than betting on the point estimate?
Under what conditions is user-level randomisation still the right choice even though users share accounts?
The queue change is expected to leave a four-hour retry backlog. What does carryover of that length do to a 30-minute switchback, and what would you run instead?

Blended gross margin fell while every segment improved

Medium · mix shift · simpsons paradox · as-of join

Blended gross margin across paying accounts fell from 71 percent to 66 percent over two quarters, yet margin improved inside every plan_tier and every deployment_model. You have fct_usage_daily (account_id, sku_code, usage_date, net_amount_cents, cogs_cents), fct_subscription_period (account_id, plan_tier, term_start_date, term_end_date) and dim_account (account_id, deployment_model, is_internal, effective_from, effective_to). Produce an exact decomposition of the five-point move into mix, rate and interaction terms, and name the segment shift that carries it.

Approach

Write blended margin as a revenue-weighted average of segment margins, m = sum over i of w_i * m_i, where w_i is the segment's share of net_amount_cents. Margin is a ratio of sums, so only revenue weights reproduce the blended figure.
Apply the exact three-term decomposition: delta_m = sum(delta_w_i * m_i0) + sum(w_i0 * delta_m_i) + sum(delta_w_i * delta_m_i), read as mix, rate and interaction. It is exact by construction, so the three terms must sum to the observed change with no residual.
Build segments from as-of joins: take the fct_subscription_period version whose term brackets each usage_date and the dim_account version whose effective_from and effective_to bracket it, rather than joining on is_current and backdating today's attributes over last year's usage.
Run the decomposition on more than one segmentation, at minimum plan_tier, deployment_model and sku_code, since the mix that actually moved may not be the one anybody already suspected.
Once the driving segment is identified, determine whether the shift came from acquisition landing new accounts in a lower-margin segment or from existing accounts migrating, because those have different owners and different remedies.

Follow-up

The interaction term is sometimes large. What does it mean operationally, and when would you prefer a log-mean decomposition that distributes it across the other two terms?
Revenue-weighted average margin is one construction. What changes if leadership wants margin weighted by account count, and which question does each version answer?

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.

Where your data came from

Data people depend on systems owned by other teams, and much of the job is negotiating for instrumentation, access, or a fix to a broken pipeline. Prepare an example of getting something changed upstream that you did not control. Describe what you asked for, what you traded, and how you worked while you waited.

Describe your experience with SLAM (Simultaneous Localization and Mapping) techniques in remote sensing.

Medium · behavioural and stakeholder questions

Approach

Name the disagreement or constraint, and how you resolved it with evidence.
Pick a story where you drove the decision, not one where you observed it.
Quantify the outcome, including what you would not claim credit for.

Follow-up

What did you decide not to do, and why?
What would you do differently if you ran that project again?

How do you handle data alignment issues when fusing inputs from disparate sensor types (e.g., radar and EO/IR)?

Medium · behavioural and stakeholder questions

Approach

Quantify the outcome, including what you would not claim credit for.
Pick a story where you drove the decision, not one where you observed it.
State the situation in two sentences and spend the rest on your reasoning.

Follow-up

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

Defend a churn number twelve times the one in the board deck

Hard · stakeholder management · retention metrics · definitions

You recompute logo churn on the renewal-eligible base from fct_subscription_period, counting only accounts whose term_end_date fell in the month and allowing a 45-day grace for late paperwork. Annualised, about 14 percent of accounts that reach a renewal date do not renew. A revenue leader has been quoting 1.2 percent to the board for two quarters, computed by dividing non-renewed accounts by the entire customer base in each month and printing that monthly figure with no period attached. You have 20 minutes with that leader and the finance lead. Decide which number is reported from now on, and what happens to the two quarters already published.

Approach

The interviewer is probing whether you can hold a correct definition under social pressure without turning it into a competence dispute. Open by reproducing their 1.2 percent exactly, with their denominator and their months, so the disagreement is arithmetic both sides can see rather than a claim about who was careless.
Separate the two defects, because they are different in kind. The denominator is wrong: on annual contracts only about one twelfth of the base reaches a renewal date in any month, so an account eleven months from renewal sits in the denominator while being structurally incapable of entering the numerator, which suppresses the rate by a factor near twelve. The period is merely unstated: a monthly figure printed beside annual revenue targets gets read as an annual rate.
Say out loud that those two defects nearly cancel in the level, before the leader finds it. Twelve times 1.2 percent is about 14 percent, which is your number. That is the strongest thing you can say in the room, because it proves both figures rest on the same non-renewal count and moves the meeting onto which denominator and which period get published rather than onto whose query is right.
The level is recoverable; the series is not. Non-renewals in a month are the eligible base for that month times the churn rate, so dividing by a fixed whole base makes the published line proportional to how many contracts happen to come up that month. Where signings cluster at quarter ends, the eligible base in a quarter-end month can be several times a quiet month's, and the month-over-month moves the board has been reading as satisfaction are the signing calendar.
Separate the measurement change from a business change. Nothing got worse this week; the loss rate was always this. Bring net revenue retention over the same period as a ratio of sums on a cohort frozen twelve months earlier, because logo churn concentrated in small accounts can sit beside healthy revenue retention, and that combination is the actual story.
Offer a migration path rather than a correction. Report both rates for one quarter with a written bridge, restate the prior two quarters in an appendix instead of silently, and pin the definition, including the period it is stated over, somewhere finance and product both read it. Concede the limits of your own number: the 45-day grace means the most recent 45 days are not reportable, and churn must be dated on term_end_date rather than on updated_at. A strong answer volunteers this; a generic one only defends.

Follow-up

The leader multiplies their monthly figure by twelve, lands on your annual number, and concludes nothing was ever wrong. What do you say?
The leader says publishing the corrected rate costs the team its credibility with the board this quarter. What do you do?
Gross logo retention worsened while net revenue retention improved. Which do you lead with, and what does the combination tell you about who is leaving?