Interview guides · Arya.ai

Arya.ai Data Scientist Interview Questions & Guide 2026

Arya.ai data scientist prep on data pitfalls: selection bias, target leakage, and checking an outlier's provenance before you drop it.

The 60-second brief

The Data Scientist role at Arya.ai is positioned at the intersection of advanced neural network research and practical enterprise deployment. As a company deeply embedded in the development of AI infrastructure and deep learning solutions, Arya.ai requires candidates who move beyond basic model training to understand the fundamental mechanics of how algorithms learn and scale. You will contribute to products that demand high reliability, precision, and efficiency, often working on computer vision, generative AI, and complex neural architectures.

If the team owns experimentation, expect depth past a two-sample test: minimum detectable effect and its roughly inverse-square-root dependence on sample size (holding power, significance level and variance fixed), variance reduction from pre-period covariates, interference between units, and when a sequential design is the right call.

Focus areas

Power experiments for heavy-tailed account revenue
Separate contracted seats from actively used seats
Analyse at the account grain, cluster errors

Overview

This role is critical because you act as the bridge between theoretical deep learning research and real-world business impact. You will not only build models but also diagnose their performance in production, iterate on architectures, and ensure that the data pipelines supporting these models are robust. Whether you are optimizing a CNN for spatial invariance or debugging a generative model, your work directly influences the performance of Arya.ai’s core AI offerings.

Candidates should expect a high degree of technical rigor. The environment is fast-paced, and you will be evaluated on your ability to explain complex concepts, solve architectural challenges, and demonstrate a deep, intuitive grasp of the mathematics driving modern AI. This is an environment for those who enjoy "under-the-hood" engineering as much as they enjoy high-level experimentation.

The Arya.ai interview process

Arya.ai candidates report 3 rounds · ≈ 3-5 weeks. The stages below are what candidates describe, not a published process.

Screening Test

Rounds outside the standard loop often open with something deliberately under-specified: a loose business problem, an open question about a product area, a dataset described in one sentence. The common failure is surveying, listing six plausible approaches and committing to none of them. The thing that separates a strong answer is scoping out loud. State what you are treating as the goal, name the metric you would move, say what you are choosing not to do and why, then take one path through to an actual answer. An interviewer can follow you down a narrow path. Nobody can grade a menu.

What to demonstrate

Whether you turn an ambiguous prompt into a stated question with a measurable outcome before doing any work
The judgement visible in what you cut, and whether you say why you cut it rather than silently dropping it
Whether you land on a concrete recommendation with its caveat attached, rather than an unranked set of options

How to prepare

Take three vague prompts, such as 'is this feature working', 'why did retention drop', and 'should we expand into a new segment'. For each, write one sentence of goal, one primary metric with its window, and two things you are explicitly not doing.
Practise giving the recommendation first and the reasoning second, in five minutes. Loosely defined rounds are usually time-boxed, and an answer that arrives last often does not arrive.
Keep a running assumption list as you talk, on paper or in the shared doc, so the interviewer can challenge one assumption instead of your whole answer.

Take-Home Assignment

Before any modelling, the dataset is itself the first test. Take-home data usually carries something broken: rows duplicated at an unexpected grain, a join that silently drops part of the population, timestamps stored in more than one timezone, or missingness correlated with the outcome. An hour spent profiling row counts, key uniqueness and date ranges is not overhead, because it decides whether every number after it is real. What separates submissions is whether you report the defects you found and adapt the analysis to them, rather than modelling over them quietly and hoping the aggregate absorbs it.

What to demonstrate

Whether you established the grain of each table and checked row counts after every join, and said so in the writeup
Whether data defects you found are surfaced with their effect on the conclusion, instead of being dropped without comment
Whether filters and exclusions are reproducible from the submitted code, with the size of the excluded population quantified

How to prepare

Write a short profiling script you can point at any unfamiliar table: row count, distinct key count, null rate per column, and the min and max of every date field, then run it before anything else
Write the funnel or the join chain as one query and check the row count at each grain, so a silent fan-out shows up as a number rather than as a wrong answer later
On a past dataset, list every exclusion you applied and how many rows each one removed, then draft the single sentence about it you would put in a report

Deep-Dive Interviews

Because the format is not fixed, prepare the reasoning rather than the ritual. Nearly every version of this round draws on the same underlying material: a design you can defend, a metric you can define exactly, an analysis whose assumptions you can state out loud. Only the wrapper changes, whether that is a take-home, a live case, a deep dive on past work, or a rough estimate on a whiteboard. Answers rehearsed to fit one shape stall the moment the shape differs. Practise naming the assumption behind a number, then saying how much the conclusion moves if that assumption is wrong.

What to demonstrate

Whether your justification for a method survives the question 'why not the simpler thing', including when the simpler thing would have worked
Precision under pressure: what exactly counts as an active user, a conversion or a success, over what window, with what exclusions
Whether you carry an argument through to a recommendation instead of stopping at a list of tradeoffs

How to prepare

For each project you plan to mention, write the metric definition in one sentence: numerator, denominator, time window, exclusions. Say it out loud once, because vagueness shows up in speech before it shows up on paper.
Rehearse the same project at three lengths: two minutes, ten minutes, and a deep dive on one technical decision. Cutting live is harder than it sounds.
For your headline result, write down what would have had to be true for it to be wrong, and how you ruled that out.

Where candidates lose points

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.

Reporting a mean over accounts when account revenue is heavy-tailed

When a small number of accounts hold most of the revenue, the sample mean is dominated by whichever of them happens to be in the sample, and the sample variance keeps growing as more data arrives instead of stabilising. In that regime the usual central-limit-based confidence interval understates uncertainty, and a single renewal or a single large account's batch job can flip the sign of a measured effect. The fixes are to pre-register a winsorisation or capping rule before looking at the outcome, to report account counts crossing a threshold alongside the revenue figure, or to define the estimand on a bounded transform. Choosing the cap after seeing the result is a separate and worse problem, because the cap then encodes the answer.

Over-explaining the method and under-explaining the implication

Lead with the answer and what you would do about it, then give the approach when asked. Roughly one sentence of method per three of implication is the right ratio for a stakeholder-facing answer; the interviewer already knows what a regression is.

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.

Questions & practice

Why is Spatial Invariance a key feature of CNNs, and how is it achieved?

Medium · statistics and probability

Approach

Translate the result into the decision it informs, in one plain sentence.
Write down the assumption the method needs before you use the method.
Quantify uncertainty explicitly rather than reporting a point estimate alone.

Follow-up

What sample size would you need to detect an effect half this size?
Which assumption here is most likely to be violated in practice?

If a key model metric suddenly drops by 10%, how would you systematically diagnose the root cause?

Medium · machine learning and modelling

Approach

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

Follow-up

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

Can you explain how Batch Normalization works and why it is necessary?

Medium · machine learning and modelling

Approach

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

Follow-up

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

Permutation-test a consumption experiment randomised at account level

Hard · permutation-test · heavy-tails · cuped · experiment-readout

An experiment randomised 900 accounts into two arms. You have one row per account: account_id, arm, consumption_28d (billable units after launch) and consumption_pre (the 28 days before). Consumption is heavy-tailed and the largest account is several percent of the total. Write a permutation test from scratch: winsorise at the pooled 99th percentile as a pre-registered rule, use the difference in arm means of the winsorised outcome as the statistic, and obtain a two-sided p-value from 20,000 relabellings of the account-level arm vector. Report the observed effect, the p-value, and the same test on a CUPED-adjusted outcome.

Approach

Be precise about what the permutation test needs. Under the sharp null of no effect for any account, the outcomes are exchangeable across arm labels, and the test is valid for ANY statistic T(outcomes, labels) provided the identical function is applied to the observed labels and to all 20,000 relabellings. The pooled 99th percentile is a function of the outcome vector alone, so recomputing it inside the loop returns the same number 20,000 times: that is wasted CPU, not a bias, and hoisting it out is an optimisation rather than a correctness fix. Say plainly that capping at all changes the estimand from mean consumption to mean capped consumption; it is not a neutral cleaning step.
The mistake that does invalidate the test is an asymmetry between the observed statistic and the permuted ones, and the easiest way to create it is to derive the cleaning rule from the observed arm labels and then freeze it — winsorise each arm at its own observed 99th percentile, hold those two caps fixed, and permute. The observed value is then computed with caps matched to its own partition while every relabelling is scored with caps belonging to a different one, so the null distribution no longer answers the question the p-value claims to answer. A per-arm cap recomputed consistently inside every permutation is a valid test, but it estimates a contrast whose two sides are capped at different thresholds, so prefer the pooled cap on estimand grounds and pre-register it.
Permute the account-level arm vector, because the account is the randomisation unit. Relabelling anything finer — users, workspaces, requests — generates a null distribution narrower than the design actually supports and returns p-values that are anti-conservative.
Vectorise the null: tile the treatment indicator into a (B, n) matrix and permute along axis 1 with rng.permuted(..., out=...). The statistic is a difference of means, so the treated sum alone determines it and the whole null is one matrix-vector product. Use the two-sided p-value (1 + count(|stat_perm| >= |stat_obs|)) / (B + 1); the plus-one on each side is not cosmetic, it keeps the p-value away from exactly zero and keeps the test valid at finite B.
For CUPED, fit theta = cov(y, x) / var(x) on the pooled data and use that same theta for the observed statistic and every relabelling. Pooled theta, like the pooled cap, carries no label information, so where in the loop you compute it is again only a performance question; fitting theta within arms is what goes wrong, because the adjusted outcome then depends on the labels and an observed-label fit frozen across all 20,000 relabellings breaks the match between observed and permuted statistics. x must be measured entirely before launch, which consumption_pre is. Expected variance reduction is about 1 - corr(y, x)^2; measure the achieved reduction from the two null distributions rather than asserting it.

Worked solution (45 min)

cap_y = np.quantile(df.consumption_28d, 0.99); y = np.minimum(df.consumption_28d.to_numpy(float), cap_y); cap_x = np.quantile(df.consumption_pre, 0.99); x = np.minimum(df.consumption_pre.to_numpy(float), cap_x)
t = (df.arm == 'treatment').to_numpy(); n1 = int(t.sum()); n0 = len(t) - n1; obs = y[t].mean() - y[~t].mean()
rng = np.random.default_rng(11); L = np.tile(t.astype(np.int8), (20_000, 1)); rng.permuted(L, axis=1, out=L); s1 = L @ y; stats = s1/n1 - (y.sum() - s1)/n0
p = (1 + int(np.sum(np.abs(stats) >= abs(obs)))) / (20_000 + 1)
theta = np.cov(y, x, ddof=1)[0,1] / np.var(x, ddof=1); y_adj = y - theta*(x - x.mean()); repeat steps 2 to 4 on y_adj and compare stats.std(ddof=1) between the two runs.

Expected result: A two-sided p-value strictly between 1/20001 and 1, an observed effect expressed in capped billable units per account, and a CUPED null whose standard deviation is smaller than the unadjusted one by roughly sqrt(1 - corr(y, x)^2). The CUPED point estimate stays close to the unadjusted one, since the adjustment removes variance rather than shifting the effect.

Verify it yourself

The permutation null is centred near zero: |mean(stats)| is a small fraction of std(stats).
An A/A run, relabelling arm at random before the test and repeating over seeds, gives roughly uniform p-values with about 5% below 0.05.
std(stats_cuped) < std(stats) whenever corr(y, x) is materially non-zero, and the ratio matches sqrt(1 - r^2) to within simulation noise.
Moving the pooled cap computation inside the permutation loop reproduces the same p-value bit for bit at the same seed — the direct demonstration that a pooled cap carries no label information — while setting the cap to infinity reproduces the uncapped test exactly, so the winsorisation switch is independently verifiable.

Follow-up

The p-value is 0.04 with the cap and 0.31 without it. What do you report, and what did you pre-register?
Colleagues in a shared workspace can see the treated behaviour. How does that change the design and the estimate?
How many accounts would you need to detect a 5% lift given this outcome's distribution?

Write a query using window functions to calculate a rolling average of model latency over the last 30 days.

Medium · sql and data manipulation

Approach

Say which table is the grain you start from, and join outward from it.
Compute rates by summing numerator and denominator separately, never by averaging rates.
Check whether any join is one-to-many before aggregating, or the sums inflate.

Follow-up

How would you verify this result without re-running the same query?
What breaks if events arrive late or out of order?

Explain how you would optimize a slow-running SQL query that joins several large tables.

Medium · sql and data manipulation

Approach

Say which table is the grain you start from, and join outward from it.
State the window function and its partition and ordering out loud before writing it.
Check whether any join is one-to-many before aggregating, or the sums inflate.

Follow-up

How would you verify this result without re-running the same query?
What breaks if events arrive late or out of order?

How would you handle null values or outliers in a dataset before feeding it into a deep learning pipeline?

Medium · sql and data manipulation

Approach

State the window function and its partition and ordering out loud before writing it.
Compute rates by summing numerator and denominator separately, never by averaging rates.
Say which table is the grain you start from, and join outward from it.

Follow-up

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

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?

How would you design a metric to measure the success of a new generative AI feature?

Medium · product sense and metrics

Approach

Decompose the metric into the rates that drive it, and say which one you would check first.
Fix the population and the time window before naming any metric.
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?

How do you validate that your experimental groups are statistically significant and unbiased?

Medium · a/b testing and experimentation

Approach

State the primary metric and the minimum effect worth shipping, then size the test.
Decide the analysis before seeing data, including how long it runs and when you look.
Say whether units interfere with each other, and switch design if they do.

Follow-up

What would you conclude if the result is positive but the test is underpowered?
How would you handle interference between treated and control units?

Stop metering retried requests: design the metric that decides it

Medium · guardrail conflict · billing integrity · retries · expected value

The platform meters accepted requests. A proposal carries three clauses: stop metering fct_api_request rows where is_retry = true, stop metering rows with a 4xx status, and stop metering rows with http_status >= 500. Its author has attached one figure to all three together, roughly 4% of requests_thousands volume. You have fct_api_request (account_id, is_retry, idempotency_key, http_status, traffic_class, billable_units, request_at) and fct_usage_daily (billable_quantity, net_amount_cents, cogs_cents). Size each clause separately before arguing about any of them, then define the primary metric, the guardrail that genuinely conflicts with it, and how you resolve that conflict for a decision that has to be made this quarter. Revenue falls this quarter with certainty; any benefit appears at renewals up to twelve months out.

Approach

Size the three clauses before accepting the headline 4%, because one of them is a no-op. billable_units is defined as zero for requests that failed with a 5xx, so the third clause removes no metered volume at all. Confirm that in the data rather than trusting the column comment: if sum(billable_units) over rows with http_status >= 500 is not zero, the metering pipeline contradicts its own definition and that is a billing defect to file before any pricing conversation happens. The two live clauses are 4xx failures, which are metered in full, and retries that did not themselves end in a 5xx.
Size the two live clauses as a union, not a sum. A retry can return 4xx, so the clauses overlap and adding their volumes counts that intersection twice. Partition the trailing 90 days into four mutually exclusive buckets instead: clean (is_retry = false, http_status < 400), non-retry 4xx, retry with http_status < 500, and http_status >= 500. Report the removable share per account as a distribution; if the mass sits in a handful of accounts this is a commercial conversation with those accounts rather than a platform-wide pricing change.
State the conflict rather than dissolving it. The primary metric, net metered revenue per paying account, and the integrity guardrail, the share of metered volume that is retried or failed traffic, move in opposite directions by construction. No redefinition removes that. The job is to price the trade-off, not to make it disappear.
Show the perverse coupling with data, and be exact about its mechanism. Because a 5xx already carries zero billable_units, the platform is not paid directly for its own failures; it is paid for the retries and the client-side 4xx traffic those failures provoke, which is one step removed and therefore easy to miss. Cross-tab each account's trailing 28-day 5xx rate against its metered volume in the same window. If metered volume rises with error rate, that indirect coupling is the actual argument for the change.
Resolve on expected value with the uncertainty stated. The revenue loss is computable and near-certain; the renewal benefit is not, so invert it and state the break-even: how many basis points of gross logo retention on the renewal-eligible base would offset the loss. That converts an argument about values into an argument about one number. Then propose the measurement that would settle it instead of claiming a readout you do not have: stage the rollout by renewal cohort so accounts whose terms end soonest are treated first, read out on gross logo retention on the renewal-eligible base, and say honestly whether the number of annual renewals in the window can support that estimate at all.

Worked solution (30 min)

Test the third clause first: over the trailing 90 days compute count(*) and sum(billable_units) from fct_api_request where http_status >= 500. The sum must be zero, because billable_units is defined as zero for 5xx failures. If it is zero the clause removes nothing and drops out of the analysis; if it is not, stop and raise a metering defect, because every volume figure downstream of that column is then suspect.
Compute trailing-90-day metered volume per account in the four mutually exclusive buckets: clean, non-retry 4xx, retry with http_status < 500, and http_status >= 500. Roll the total up to the requests_thousands SKU and reconcile it against fct_usage_daily billable_quantity for the same window.
Convert the two removable buckets to money using each account's realised rate, net_amount_cents / billable_quantity from fct_usage_daily, because list rate overstates revenue for every discounted account.
Annualise the revenue at risk and divide it by the ARR of the renewal-eligible base to express the break-even as an improvement in gross logo retention, in basis points.
Cross-tab account 28-day 5xx rate deciles against metered volume per account to establish whether the error-to-revenue coupling, which can only run through retries and 4xx rather than through the failed requests themselves, is real or a story.

Expected result: Three clause sizes rather than one blended figure: zero for the 5xx clause, since billable_units is already zero there, and separate volumes for 4xx failures and for retries that did not 5xx, combined as a union so the retry-and-4xx intersection is counted once. On top of that, a single break-even figure stated as the improvement in gross logo retention on the renewal-eligible base needed to offset the metered revenue actually removed, and the per-account concentration of that removable volume. The answer says that the primary metric and the integrity guardrail conflict by construction, and resolves it with the break-even number and a staged rollout rather than by moving a definition.

Verify it yourself

sum(billable_units) over rows with http_status >= 500 must be exactly zero; any other result contradicts the documented definition of the column and invalidates the volume figures derived from it.
The four buckets must be mutually exclusive and must sum to total billable_units, which must in turn reconcile to fct_usage_daily billable_quantity within the known restatement tolerance; a large gap means the request-to-SKU mapping is wrong.
The two removable buckets must be reported as a union; their arithmetic sum will exceed the union by exactly the retry-and-4xx intersection, and a write-up that quotes the sum has overstated the revenue at risk.
Requests sent with no idempotency_key cannot carry is_retry = true, so the measured retry share is a lower bound and the write-up must say so.

Follow-up

Suppose the two live clauses turn out to remove 2.6% of consumption revenue. How much improvement in gross logo retention on an annual-contract base pays that back, and over what horizon does the payback land?
A retry sent without an idempotency_key cannot be flagged as a retry. Which direction does that bias your estimate of the removable volume, and how can you bound it?

Error rate halves while severe support tickets double

Hard · missing data · aggregation bias · reconciliation

The fleet-wide customer-visible error rate fell from 1.8 percent to 0.9 percent, while sev1 and sev2 tickets and reopened_count rose across the same fortnight. Using fct_api_request (account_id, environment, sdk_name, traffic_class, http_status, request_at, billable_units), fct_usage_daily (account_id, sku_code, usage_date, billable_quantity) and fct_support_ticket (account_id, severity, opened_at, reopened_count, linked_incident_id), determine whether reliability improved, and if not, identify precisely which rows are missing and from when. Deliverable: a diagnosis backed by an independent corroborating source.

Approach

Distrust an improvement that contradicts an independent operational signal. Two sources disagreeing is itself the finding; decide which one is more likely to be broken before explaining either.
Recompute the rate as the metric tree defines it, per account first and then as the share of accounts above the reliability target. A single global average is dominated by whichever account sends the most traffic, so a fleet number can fall while a quarter of accounts get worse.
Audit for missingness rather than for badness: count fct_api_request rows per hour split by environment, sdk_name and status class, indexed against the trailing same-hour baseline. A partial ingestion failure shows as a step drop confined to one slice, not a uniform decline.
Reconcile against a source the request pipeline does not feed, such as implied request volume from fct_usage_daily for the same accounts and dates. If the usage table is flat while request rows fell, rows are missing rather than traffic.
Test whether the missingness is differential by status, which is the mechanism that fakes an improvement: if 5xx rows are written on a path that stopped while 2xx rows were unaffected, the numerator falls faster than the denominator and the rate drops with nothing improving.
Close with the affected window, the affected slice and a restated series marked unreliable across that window, rather than a silently patched number.

Follow-up

The missing rows are unrecoverable. How do you present that fortnight in a series people compare week over week?
What monitor would have caught this within an hour, and what is its false-positive cost on a normal quiet weekend?

Suggested practice checklist

Roughly 90 minutes a night on weekdays with one longer weekend block. The plan deliberately cuts scope rather than compressing everything, on the assumption that finishing one thing a night beats half-starting four.

Day 1 — Fix the scope and set a baseline

Read the role description and write the three things the loop will almost certainly test, then write an explicit not-doing list for everything else and keep it visible all week.
Take one 20-minute SQL prompt and one 10-minute metric question cold, and write the single sentence that says what blocked each attempt, since that sentence is what decides which two topics get the most evenings.
Set the week's one rule: one problem finished to completion every night, including the night you only have 40 minutes.

Deliverable: A one-page scope with an explicit not-doing list and two cold attempts, each carrying one sentence on what blocked it.

Day 2 — One query pattern, written three times

Choose the single pattern most likely to appear (a cohort retention grid, or a funnel counted by user) and write it three times from a blank file rather than editing the previous attempt.
On the third attempt, write the grain of every CTE as a comment before writing its body.
Stop at 90 minutes even if the third version is imperfect, and write the one thing you would fix with another hour.

Deliverable: Three independent versions of the same query plus a note on what changed between them.

Day 3 — Only the statistics you will be asked to defend

Write, in under 200 words, how you would decide whether a difference between two groups is real: the test, its assumptions, and what you would switch to when an assumption fails.
Compute a 95 percent confidence interval for a difference in proportions by hand on realistic numbers, then write in one sentence what changes if the two samples are paired rather than independent.
Write your answer to "what does a p-value mean", check it against a definition, and delete the version that describes it as the probability the hypothesis is true.

Deliverable: A 200-word written answer and one hand-computed interval you can reproduce under pressure.

Day 4 — One case, and the assumptions holding it up

Answer one product case aloud in 20 minutes with a recording running, then listen back with a pen and mark every claim you asserted without saying what it rested on: an assumed user behaviour, an assumed data source, an assumed baseline rate, an assumed grain.
Pick the three assumptions the recommendation actually depends on, write how you would check each one against data, and say which one being wrong would flip the recommendation rather than merely weaken it.
Write the four-step structure you used onto a card small enough to hold in working memory when you are nervous.

Deliverable: One recording, three load-bearing assumptions each with a written check, and a four-step structure card.

Day 5 — Your own work, timed

Write a 90-second version and a four-minute version of your main project, and time both out loud rather than reading them.
Prepare answers to the two follow-ups that always come: what you would do differently, and how you knew it worked.
Put one number in the first sentence and be able to say exactly where that number came from and what it excludes.

Deliverable: Two timed narratives with one defensible number in the opening line.

Day 6 — The one full rehearsal, in a longer weekend block

Run a 60-minute mock covering query work, a case and a behavioural question in a single sitting with no breaks, because sustained attention is the thing evenings have not trained.
Immediately afterwards, and before hearing any feedback, write the three moments you lost the thread.
Spend the rest of the block only on those three moments, and on nothing you merely feel shaky about.

Deliverable: Mock notes naming three failure moments with a specific fix written under each.

Day 7 — Taper

Write the 20-minute warm-up you will actually do on the morning of the interview: one query you can already write from a blank file, one metric you can define out loud, and nothing you have never seen before.
Re-read only your own notes from this week, and open no new material.
Write down the logistics: the tool you will be asked to work in, whether lookups are allowed, and the sentence you will use when you do not know something.

Deliverable: A one-page card holding the case structure, the project numbers, and the logistics.

Explaining a method to someone who will not follow the maths

Half of this section is about translation. Be ready to describe how you explained a result to someone who did not want the method, only the implication, and what you did when the simplified version started being repeated in a way that overstated it. Correcting your own simplification is a strong beat.

Describe a situation where you disagreed with a team member on a technical approach; how did you resolve it?

Medium · behavioural and stakeholder questions

Approach

State the situation in two sentences and spend the rest on your reasoning.
Close with what you would do differently, concretely.
Pick a story where you drove the decision, not one where you observed it.

Follow-up

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

Allocate one analyst week across three competing requests

Easy · prioritisation · stakeholders · scoping

Three requests arrive the same morning and you have one week. Finance wants per-account gross margin from fct_usage_daily for a pricing review in three weeks. Sales wants a renewal-risk list for accounts with term_end_date inside 60 days. A product manager wants an experiment readout for a decision being taken on Thursday. Produce your allocation with hours attached, what you say to whoever receives less, and one thing you refuse to do this week, with the reason each decision is defensible to the person it costs.

Approach

The interviewer is probing whether you prioritise on decision timing and reversibility or on who asked most forcefully. Sort by the date each decision is actually taken and by what the default outcome is if nothing arrives.
Apply that sort concretely. The Thursday readout has a hard irreversible deadline and no value afterwards. The pricing review has three weeks of slack. The renewal list has a rolling deadline set by term_end_date, so part of it is urgent this week and the rest is not, which means it can be split rather than deferred whole.
Find the cheapest sufficient version of each request rather than the full version. The readout goes in full. The renewal list ships as a filtered query over renewal-eligible accounts ranked by two inspectable signals rather than as a model. The margin work is scoped to the accounts that dominate the pricing decision, since revenue is heavily skewed and the tail will not change the conclusion.
Make the trade visible in one written note to all three at once, with dates. Telling each person separately that they are the priority is how an allocation becomes a credibility problem.
Refuse something explicitly and say why. The model version of the renewal list is the usual candidate, because it cannot be evaluated without a holdout nobody has agreed to yet, and building it this week forecloses that.
Leave slack. A plan with none is a plan to miss the one deadline that cannot move.

Follow-up

The sales leader escalates to your manager. What did you already do that makes that a short conversation?
Which of the three deadlines would you push back on, and what exactly would you ask for?
What would you change about how these requests reach you so next week is not the same?

Walk through an analysis you later discovered was wrong

Easy · data quality · error ownership · metering

Six weeks ago you reported that consumption fell 9 percent in the last week of the month, and a team spent a sprint investigating the cause. The fall was an artefact: rows in fct_usage_daily land late and are restated in place, and you queried before the tail had settled. Describe how you found the error, what you told the people who acted on it, and the control you put in place so this class of mistake cannot reach a dashboard again. Be specific about how the settling window was measured.

Approach

The interviewer is probing whether you self-report errors before someone else finds them, and whether your fix is structural rather than a promise to be more careful. Say plainly that the number was wrong and that a sprint was spent on it, before describing any diagnosis.
Establish the artefact quantitatively instead of asserting that data lands late. For each usage_date, compare the total as of first_written_at against the settled total and read the settling time off that curve, for example 97 percent of final by day three and 99.5 percent by day five.
Correct the record the same day, in the channel the original number went out in, to the same audience. The cost of the wasted sprint belongs in the correction, not in a footnote.
Make the fix structural: exclude a trailing lag window from every reportable figure, and make the reporting view return no rows inside that window rather than returning partial ones. A dashboard that shades unsettled days still gets read as a decline.
State what generalises. Any fact table restated in place has this failure mode, so the guard belongs at the source rather than on the one dashboard that embarrassed you. A strong answer ends with the class of error closed; a generic one ends with a lesson learned.

Follow-up

How did you choose the completeness threshold behind the lag window, and what would make you recalibrate it?
What did you say to the team that lost the sprint, and what did they say back?
Is there a legitimate case for showing the unsettled tail at all, and to whom?