PTC Data Scientist Interview Questions & Guide 2026

The 60-second brief

As a Data Scientist at PTC, you play a pivotal role in shaping the future of the company's innovative solutions and products. Your expertise in extracting insights from complex datasets directly influences product development, enhances customer experiences, and drives data-informed decision-making across the organization. The significance of this role is underscored by PTC's commitment to leveraging advanced analytics to solve real-world challenges, ensuring that the solutions developed are not only effective but also aligned with market needs.

Allocate prep to your weakest link rather than your favourite topic. Of the three things that usually gate the outcome (SQL that is correct under messy joins, sound reasoning about experiments, and structured framing of an open-ended problem), candidates tend to over-invest in modelling theory and under-invest in framing.

Focus areas

• Analyse at the account grain, cluster errors
• Power experiments for heavy-tailed account revenue
• Read NRR on a fixed account cohort

Overview

In this role, you will interact with cross-functional teams, including engineering, product management, and marketing, to tackle significant challenges that PTC faces. You will analyze large datasets, create models, and communicate findings to stakeholders to influence strategic direction. The complexity and scale of the data you will work with provide not only technical challenges but also opportunities for innovation and creativity. Candidates can expect to be at the forefront of advancements in areas such as IoT, augmented reality, and digital transformation—making this position both critical and rewarding.

The PTC interview process

PTC candidates report 4 rounds · ≈ 3-5 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 Interview

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

Behavioral Interview

Most of the weight in this round sits on the disagreement questions. Data work routinely produces an answer someone senior did not want, and the interviewer is trying to learn what you do in that hour. Both failure modes are common: folding as soon as a director pushes back, and treating the pushback as ignorance to be corrected with a better chart. A strong answer usually contains a specific thing the other person knew that you did not, and describes how you found out whether it changed the conclusion.

What to demonstrate

• Whether you can state the other side's argument accurately before you explain why you disagreed
• What you treated as evidence during the disagreement, such as a rerun under their assumption or a holdout check, rather than persuasion technique
• Whether you distinguish being overruled from being wrong, and can give an example of each

How to prepare

• Write out one disagreement where you turned out to be wrong, and say what in the data misled you. Candidates prepare the story where they were right, and the follow-up asks for the other one.
• For your main disagreement story, be ready to say what result would have made you drop your position. If no such result exists, you were not arguing from the data.
• Practise stating the opposing position out loud in one sentence the stakeholder would accept, then continue the story.

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

Treating raw request or usage volume as engagement

Most traffic in this domain is emitted by machines. Continuous-integration pipelines, scheduled batch jobs, synthetic monitors, backfills and client retries can all grow by an order of magnitude from one configuration change made by one engineer, and none of it represents a new decision to use the product. The inversion is what makes it dangerous: when the platform degrades, clients retry, so error-driven retry volume rises at the exact moment the customer is most likely to leave, and an engagement dashboard built on raw counts shows growth immediately before a churn. Filter on traffic_class and on successful status before anything else, and keep failed-request volume as its own separate series.

Randomising an experiment at the user level when users share an account

Two problems fire at once. Colleagues in one workspace see each other's work and talk to each other, so a treated user changes the behaviour of a control user in the same account, which violates the no-interference assumption and biases the estimate toward zero. Separately, outcomes within an account are strongly correlated, so the effective sample size is roughly n / (1 + (m - 1) * rho) for m users per account and intra-class correlation rho, not n. With rho around 0.3 and twenty users per account that is a design effect near 6.7, meaning a user-level confidence interval is about two and a half times narrower than it should be and results cross significance thresholds on noise alone. Randomise the account and cluster the standard errors.

Naming a model class before naming the deployment constraints

Set out the latency budget, the label delay, the retraining cadence, the interpretability requirement and the number of labelled examples, then pick the model that fits them. A boosted-tree answer to a problem where each decision must be explained to the affected user is a well-executed answer to the wrong question.

Answering a product-sense question with a list of features

Answer with a decision and the measurement that would settle it: the hypothesis, the primary metric, the guardrails, and the result that would make you not ship. A feature brainstorm cannot be wrong, which is exactly why it earns no points.

Questions & practice

Write a function to calculate the mean and standard deviation of a list of numbers.

Medium · statistics and probability

Approach

1. Say what the estimate is of, and over what population it generalises.
2. Translate the result into the decision it informs, in one plain sentence.
3. Write down the assumption the method needs before you use the method.

Follow-up

• Which assumption here is most likely to be violated in practice?
• How would you explain this result to someone who does not know statistics?

What metrics would you use to evaluate a model's performance?

Medium · machine learning and modelling

Approach

1. Set a baseline first, so any model has something honest to beat.
2. Pick an evaluation metric that matches the cost of each error type, not a default.
3. Frame the prediction: the label, the moment of prediction, and the action it triggers.

Follow-up

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

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

1. 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.
2. 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.
3. 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.
4. 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.
5. 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.

Worked solution (40 min)

1. unchainable = df.idempotency_key.isna(); report df.loc[unchainable].groupby('account_id').billable_units.sum() before proceeding.
2. keys = ['account_id','endpoint','idempotency_key']; c = df[~unchainable].sort_values(keys + ['request_at'], kind='mergesort'); c['is5'] = (c.http_status >= 500).astype(int)
3. c['attempt_no'] = c.groupby(keys, sort=False).cumcount(); c['prior_5xx'] = (c.groupby(keys, sort=False).is5.cumsum() - c.is5) > 0
4. c['cls'] = np.where(c.attempt_no == 0, 'first_attempt', np.where(c.prior_5xx, 'error_driven_retry', 'other_retry')); out = pd.concat([c, df[unchainable].assign(cls='unchainable')]).groupby(['account_id','cls']).billable_units.sum().unstack(fill_value=0)

Expected result: A per-account table of four columns summing exactly to that account's total billable_units in the window. error_driven_retry is zero for any account with no 5xx; the fleet-level error-driven share is typically low single digits while a small number of accounts sit far above it.

Verify it yourself

• out.sum(axis=1) equals df.groupby('account_id').billable_units.sum() for every account.
• Every row classed error_driven_retry has attempt_no >= 1.
• An account with no http_status >= 500 in the window has error_driven_retry == 0.
• Cross-tabulating cls against is_retry: no first_attempt row should carry is_retry True, and any that do mark chains truncated by the window boundary.

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?

Can you explain the concept of a hash table and its applications?

Medium · sql and data manipulation

Approach

1. Check whether any join is one-to-many before aggregating, or the sums inflate.
2. Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
3. Compute rates by summing numerator and denominator separately, never by averaging rates.

Follow-up

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

Write a SQL query to retrieve the top 10 customers by sales volume from a sales database.

Medium · sql and data manipulation

Approach

1. Check whether any join is one-to-many before aggregating, or the sums inflate.
2. Handle the rows that do not match: a LEFT JOIN with a NULL check is usually the question.
3. State the window function and its partition and ordering out loud before writing it.

Follow-up

• How does the query change if the join becomes one-to-many?
• How would you verify this result without re-running the same query?

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

1. 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.
2. 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.
3. 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.
4. 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.
5. 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)

1. Build the filtered week: interactive rows with user_id IS NOT NULL inside [week_start, week_start + 7 days).
2. 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').
3. Add session_seq = SUM(is_new_session::int) OVER (PARTITION BY account_id, user_id ORDER BY request_at ROWS UNBOUNDED PRECEDING).
4. Aggregate to sessions by (account_id, user_id, session_seq) taking min, max and count, with duration_minutes = EXTRACT(EPOCH FROM max - min) / 60.
5. 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?

How would you structure a data pipeline for real-time analytics?

Medium · product sense and metrics

Approach

1. Restate the decision this analysis has to support, and who acts on the answer.
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?

You are given a dataset about customer purchases. How would you approach analyzing it to increase sales?

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. State what result would change your recommendation, so the answer is falsifiable.

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 do you prioritize tasks when managing multiple projects?

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. Fix the population and the time window before naming any metric.
3. Restate the decision this analysis has to support, and who acts on the answer.

Follow-up

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

Describe how you would identify and analyze key trends from time series data.

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. Fix the population and the time window before naming any metric.
3. State what result would change your recommendation, so the answer is falsifiable.

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 would you design an A/B test for a new feature in a product?

Medium · a/b testing and experimentation

Approach

1. Name the guardrails that would stop a launch even on a positive primary result.
2. Say whether units interfere with each other, and switch design if they do.
3. Name the randomisation unit first; it decides the variance and what the test can detect.

Follow-up

• What would you do if you could not randomise at all?
• What would you conclude if the result is positive but the test is underpowered?

Explain the difference between supervised and unsupervised learning.

Medium

Approach

1. Say what you would check first and why it is the highest-information step.
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

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

Build an activation metric tree for a self-serve onboarding rebuild

Easy · metric tree · activation · cohort windows · denominators

The self-serve signup flow is being rebuilt. You have dim_account (account_id, created_at, is_internal, first_workspace_at, is_current) and fct_api_request (account_id, workspace_id, environment, api_key_id, http_status, traffic_class, request_at). Build a three-layer metric tree from signup through to production dependency, name the primary metric for this specific change, and state the fixed measurement window and the denominator for each layer. Two of the three layers share a denominator and the third does not, so say which invariant still holds across the tree once the denominators differ. Say which layer the onboarding team can actually move and which it cannot, and why raw signup counts are not on the tree.

Approach

1. Fix the cohort once: accounts created in cohort period P with is_internal = false, collapsed to one row per account_id since dim_account is type 2. Say out loud that employee, demo and load-test accounts are removed, otherwise the tree partly measures internal testing.
2. Layer one, qualified signup, on the cohort denominator: accounts recording at least one successful request (http_status < 400) with traffic_class in ('interactive','batch') within 14 days of created_at. This replaces raw signup counts, which measure registration-form friction and duplicate sign-ups from one organisation rather than demand.
3. Layer two, activation, also on the cohort denominator: the share of the cohort whose first successful request with a non-null api_key_id arrives within a fixed 168 hours of created_at. Fixed window, not trailing, so that cohort weeks are directly comparable and no cohort is censored.
4. Layer three, production depth, on a conditional denominator: the share of activated accounts holding a workspace with environment = 'production' whose trailing 7-day count of successful non-synthetic requests exceeds a floor calibrated from the data, for example the volume above which 90-day retention stops rising. A floor picked by intuition makes this a metric about the floor. Conditioning on activation is the right operational choice, because the question it answers is whether accounts that got started go on to depend on the product, but it means this rate is not on the same scale as the two above it: a conditional rate of 0.50 sits perfectly happily underneath a 0.30 activation rate. To place it back on the funnel, multiply it by the activation rate and report that product as the cohort share.
5. Align the traffic_class filter across all three layers, otherwise the underlying account sets do not nest: an activation definition that admits traffic_class = 'ci' will count accounts that layer one excluded, and the tree stops being a funnel. With mixed denominators the invariant that survives is on account sets and therefore on counts, not on rates. Then name the primary metric for this change, the seven-day activation rate, because the onboarding flow controls the path to first successful call and nothing below it. Production depth is the lagging check that the activation gain was real rather than one sample request.

Worked solution (25 min)

1. Build the cohort table: one row per account_id, bucketed by the ISO week of created_at, is_internal = false, dim_account collapsed to is_current = true.
2. For each layer, find the first qualifying request per account from fct_api_request under that layer's filter and keep min(request_at), using EXISTS or a lateral so the cohort stays at one row per account.
3. Compute layers one and two as shares of the cohort denominator and layer three as a share of the activated accounts, carrying the raw account count beside every rate, and mark any cohort week not yet clear of the longest window (14 days) as not reportable.
4. Plot the three rates by cohort week, and separately confirm nesting on the counts within each cohort.

Expected result: A three-row tree with explicit numerator filters, fixed windows of 14 days, 168 hours and trailing 7 days, and a stated denominator per layer: layers one and two share the signup-cohort denominator of non-internal accounts, while layer three is conditional on activation and is therefore a rate that cannot be read on the same scale as the two above it. The primary metric is the seven-day activation rate, with qualified signup above it and production-depth adoption below. Cohort weeks inside the longest window are marked not yet reportable, the traffic_class filter is stated to be identical across layers so the account sets nest, and the cohort share of production depth is reported as the activation rate multiplied by the conditional rate.

Verify it yourself

• Check nesting on account counts, not on rates: within a cohort the production-depth account set must be a subset of the activated set, which must be a subset of the qualified-signup set. The rates do not obey that ordering, because layer three is conditional on activation, so a conditional rate of 0.50 sitting above a 0.30 activation rate is correct rather than a defect.
• The reported cohort share of production-depth accounts must equal the activation rate multiplied by the conditional production-depth rate; a mismatch means the two layers were computed over different cohort definitions or different traffic filters.
• Every reported cohort week must be at least 14 days old at query time.
• Removing the is_internal filter should visibly change the denominator; if it does not, the flag is not populated and the whole tree rests on an untested assumption.

Follow-up

• Activation rises 6 points and the production-depth rate among activated accounts is flat 60 days later. Say what happened to the cohort share of production-depth accounts, and why a flat conditional rate is the better of the two readings available here.
• Median time-to-first-successful-call answers the same question with more information. Why is it a worse weekly dashboard metric, and what estimator would make it honest?

Monthly logo churn triples with no change in satisfaction

Hard · renewal-eligible base · censoring · timestamp semantics

Monthly logo churn, computed as churned accounts divided by all paying accounts, tripled last month. Contracts are annual. From fct_subscription_period (account_id, term_start_date, term_end_date, amendment_type, auto_renew, booked_at, superseded_by_id, is_current) and dim_account (account_id, churned_at, account_status, employee_band, acquisition_channel), rebuild churn on the renewal-eligible base, separate calendar effects from customer behaviour, and state whether retention actually changed. Note that churned_at is sometimes set when the record was updated rather than at term end.

Approach

1. Rebuild the denominator as accounts whose term_end_date falls in the month. An account eleven months from renewal sits in the current denominator while being structurally incapable of entering the numerator, so on annual contracts the published rate understates the truth by roughly the reciprocal of the annual renewal fraction and moves with the signing calendar.
2. Plot the renewal-eligible base by month across two years. A signing surge twelve months earlier reproduces itself as an eligibility surge now, and a rate whose denominator ignores that tracks the sales calendar rather than customer sentiment.
3. Date each churn by term_end_date, never by churned_at or an update timestamp. Inspect the distribution of churned_at minus term_end_date: a backlog cleared in one batch appears as a mass at a single date and shifts losses into whichever month the operations team did its paperwork.
4. Apply the 45-day grace for late renewal paperwork so the most recent month and a half is marked not reportable, rather than printing a number that will rise once the paperwork lands.
5. Compare corrected gross logo retention against its own trailing distribution, and if a real change survives, cut it by employee_band, acquisition_channel and plan_tier before proposing any cause.

Follow-up

• Some contracts in the window have not reached their renewal date. When does this require a survival estimator rather than a simple rate, and which one would you use?
• How do you report churn to an audience that wants a monthly number when the underlying event is annual and lumpy?

Suggested practice checklist

Instead of guessing where the week should go, day one measures it under a fixed rubric and allocates the remaining hours in proportion to the gaps. The method is deliberately rigid: the allocation is written down before any studying starts and is not renegotiated when a topic turns out to be unpleasant.

Day 1 — Diagnostic, scored before you study anything

• Sit a 100-minute timed diagnostic in four blocks: 30 minutes of SQL across three prompts, 25 minutes of short-answer statistics, 25 minutes on one modelling or case prompt, and 20 minutes delivering one behavioural story aloud.
• Score each block from 0 to 3 on a fixed rubric where 3 is correct and fluent, 2 is correct but slow or prompted, 1 is partially correct, and 0 is stuck, grading the output rather than how the attempt felt.
• Allocate the hours for days two to five roughly in proportion to 3 minus the score in each block, write the allocation down, and commit to not revising it midweek.

Deliverable: A scored rubric and a fixed hour allocation for the rest of the week.

Day 2 — Largest gap: find the boundary rather than the subject

• Break the weakest area into five named sub-skills (for query work: grain control, window frames, date arithmetic, set logic with NULLs, and reading a query plan) and rate each one, so the rest of the week targets a sub-skill instead of a subject.
• Solve three problems chosen to sit just above where the rating drops off, and for each write the first move you failed to make.
• Re-solve one of them from memory four hours later, on paper, with nothing open.

Deliverable: A five-item sub-skill map with the two blocking sub-skills circled.

Day 3 — Largest gap: drill the blocking sub-skill

• Do eight short repetitions of the same shape rather than eight different problems, so what you practise is the pattern and not the puzzle.
• Write the rule you now hold in one sentence, then test it against a case built to break it: a ranking function over a column with ties, or a two-sample test on observations that are obviously dependent.
• Have someone else read your one-sentence rule and find the precondition you left out.

Deliverable: One rule statement with its preconditions attached and one counterexample that would have caught the incomplete version.

Day 4 — Second gap, plus maintenance on your strongest area

• Run the same sub-skill map and boundary protocol on the second-largest gap, compressed into half the day.
• Spend 25 timed minutes on your strongest area to stop it decaying, choosing the hardest problem you can still finish rather than an easy warm-up.
• Compare how the two areas fail: whether you lose time on recall, on setup, or on arithmetic, because the fix differs for each.

Deliverable: A second sub-skill map plus a one-line diagnosis of how each area fails you.

Day 5 — The gap that is not a skill

• Record yourself answering one technical and one behavioural prompt, then count two things in the playback: how many seconds before your first clarifying question, and how many sentences you started without knowing where they ended.
• Rewrite your three most-used stock phrases into shorter versions, and practise saying "I do not know, here is how I would find out" without softening it into a guess.
• Deliver one answer again with a hard 90-second limit to force structure before detail.

Deliverable: Two recordings with a counted improvement in time-to-first-question.

Day 6 — Retest under day-one conditions

• Sit the same 100-minute diagnostic structure with new prompts of comparable difficulty and score it on the identical rubric.
• Compare block by block, and for any block that did not move, change the method rather than adding hours: a block stuck at 1 usually means the practice was too varied, not too short.
• Write which single block you would still lose the offer on.

Deliverable: A second scored rubric placed next to the first, with one named remaining risk.

Day 7 — Full loop under interview conditions

• Run a 60-minute mock covering the two blocks that moved least, with an interviewer instructed to interrupt and change direction.
• Write your recovery script for the moment you go blank: restate the question, state your assumption, name the first thing you would check.
• Reduce the week to the rule statements you wrote, each with its preconditions attached, then say every one of them out loud without reading it and cut any you cannot state in a single sentence, since a rule you have to reconstruct mid-answer will not survive being interrupted.

Deliverable: A one-page card holding the recovery script and only the rules you could state from memory.

What the behavioural round is actually scoring

Interviewers here are not checking whether you can describe a project. They want the decision you made, why you made it under the information you had, and what changed afterwards that someone else could measure. A story that ends at 'I built a model' has no ending. Say what the model caused, or what you stopped doing because of it.

How do you handle missing data in a dataset?

Medium · behavioural and stakeholder questions

Approach

1. Close with what you would do differently, concretely.
2. State the situation in two sentences and spend the rest on your reasoning.
3. Name the disagreement or constraint, and how you resolved it with evidence.

Follow-up

• What would you do differently if you ran that project again?
• How did you know the outcome was caused by your change?

Report an underpowered consumption test to a non-technical executive

Medium · communication · uncertainty · experimentation

An account-randomised packaging change ran six weeks across 900 paying accounts. The effect on billable units per account per month is plus 4.1 percent, with a 95 percent interval from minus 3.2 to plus 11.8 after clustering standard errors at the account and applying the pre-registered winsorisation at the 99th percentile. An executive with no statistical background wants one number this week to decide a full rollout. Produce a three-sentence spoken answer, one chart, and an explicit recommendation of ship, stop or keep running, with the cost of each option stated.

Approach

1. The interviewer is probing whether you can be decision-useful without either hiding the uncertainty or hiding behind it. Start from the decision rather than the statistics: establish what the executive would do differently at plus 4 percent versus zero, because if the action is identical the interval does not matter.
2. Translate the interval into consequences in units the executive already reasons about. Multiply both endpoints by the cohort's baseline consumption and contracted rates to give an annualised revenue range, so the answer is a range of dollars rather than a range of percentages.
3. Price the option to wait. Using the observed variance, state roughly how many additional account-weeks halve the interval width, so keep running becomes a quantified choice instead of a stall.
4. Offer a cheaper path to the same decision: a lower-variance proximate outcome such as successful billable units on the new SKU, or CUPED using each account's pre-period consumption, quoting the expected variance reduction as one minus the squared pre-post correlation.
5. Give a recommendation and name the single observation that would reverse it. A strong answer commits; a generic one recites the interval and leaves the decision on the table.

Follow-up

• The executive says it clearly works and is just not provable, so ship it. What is your answer?
• How much of the interval width comes from clustering and how much from the revenue tail, and what would you do about each?
• If you had to ship this week with no more data, which guardrail would you watch for the first fortnight and at what threshold would you roll back?

State the measured impact of your own work honestly

Hard · impact · causal inference · self-assessment

You are asked for the business impact of a renewal-risk worklist you shipped nine months ago. Customer success used it, and renewals in the covered segment came in 6 points above the prior year. Coverage was assigned by the team itself: they worked the top of your list and also the accounts they were already worried about. Produce the impact claim you are willing to defend, the number you refuse to claim, and the design you would have asked for at the start.

Approach

1. The interviewer is probing whether you can separate what you shipped from what you caused, and whether you would have built the measurement in rather than reconstructing it afterwards. Both halves are being scored.
2. Name the confound precisely. Coverage assignment is doubly selected: the largest accounts get an owner because they are valuable, and distressed accounts get one because they are at risk. The naive covered versus uncovered comparison mixes a strong positive selection with a strong negative one and can come out with either sign depending on which rule dominated. Matching on account size does not fix it, because the risk signal that triggered coverage is the same signal that predicts the outcome.
3. Split the claims by what each needs to be true. Ranking quality is defensible from precision at k on out-of-time renewals. Adoption is defensible from timestamps showing what share of listed accounts were contacted. The outcome claim is not defensible without a design, and saying so is the point of the exercise.
4. Look for identification before giving up on it. A capacity cut-off, a territory boundary, or a period in which the list existed but was unstaffed can assign coverage for reasons unrelated to account health, and any of those supports a bounded estimate.
5. State the design you would ask for now and its price: a randomly withheld slice of the list, held for two renewal quarters, with the expected cost in renewals stated openly. That cost is what it takes to be able to answer this question at all.
6. Give a bounded number rather than none. Six points with an explicit statement of how much of it you can attribute is more useful than either claiming the whole figure or declining to quantify anything.

Follow-up

• Your manager wants the 6 points in a promotion packet. What wording do you accept, and what do you strike?
• What would have had to be true for the naive covered versus uncovered comparison to be valid?
• If the holdout costs the team real renewals, how do you justify asking for it, and to whom?