N045-H2 Tier 4 · Advanced · hard ecommerce · Brightlane

Return the order status, the total order count, the interpolated median `total_amount`, and the interpolated 90th-percentile `total_amount` for each `status`. Sort the final result by `status` ascending

Part of NTILE and Percentile Functions in SQL

The problem

Brightlane's operations team needs a per-status distribution summary to understand how order values spread within each status.

Write a query to return the order status, the total order count, the interpolated median total_amount, and the interpolated 90th-percentile total_amount for each status. Sort the final result by status ascending.

Assumptions:

  • Each unique status value should appear once.
  • The order count is the number of orders carrying that status.
  • The interpolated median sorts the values within a status ascending and picks the value at the midpoint position, interpolating linearly between the two middle values when the count is even. The result may not equal any actual order amount.
  • The interpolated 90th percentile is computed with the same interpolation method at the 0.9 position.
  • The final result is sorted by status ascending.

Output:

  • One row per status, with columns status, order_count, median_amount, and p90_amount. Sorted by status.
Schema · ecommerce 5 tables
categories
id integer
name text
parent_id? integer
products
id integer
name text
category_id integer
price numeric
stock_qty integer
attributes? jsonb
order_items
id integer
order_id integer
product_id integer
quantity integer
unit_price numeric
customers
id integer
name text
email text
city? text
country text
created_at timestamptz
is_active boolean
orders
id integer
customer_id integer
ordered_at timestamptz
status text
total_amount numeric

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Solution query
SELECT
  status,
  COUNT(*) AS order_count,
  PERCENTILE_CONT(0.5) WITHIN GROUP (
    ORDER BY
      total_amount
  ) AS median_amount,
  PERCENTILE_CONT(0.9) WITHIN GROUP (
    ORDER BY
      total_amount
  ) AS p90_amount
FROM
  orders
GROUP BY
  status
ORDER BY
  status

The shape

A grouped query that returns three numbers per status: how many orders the status has, the interpolated median of those orders' amounts, and the interpolated 90th percentile. COUNT(*) and the two PERCENTILE_CONT calls are all aggregates running over the same group, so they collapse the orders inside each status into a single summary row. The 0.5 and 0.9 positions sit inside the same sorted set per status; the function just walks farther into the sort for the 90th percentile.

Clause by clause

  • SELECT status, COUNT(*) AS order_count, PERCENTILE_CONT(0.5) WITHIN GROUP (ORDER BY total_amount) AS median_amount, PERCENTILE_CONT(0.9) WITHIN GROUP (ORDER BY total_amount) AS p90_amount returns one row per status with three measurements. COUNT(*) counts every order in the status; each PERCENTILE_CONT sorts the status's total_amount values ascending and picks the value at its position, interpolating between adjacent rows when the position falls between them.
  • FROM orders reads every order.
  • GROUP BY status partitions the orders by status, which is what makes the three aggregates run per status instead of across the entire table.
  • ORDER BY status is the outer sort. It prints the statuses alphabetically so the per-status summary reads in a stable order.

Why PERCENTILE_CONT for both

The prompt asks for interpolated values at both positions. The interpolation matters most at p90, where a small-count status may have only a handful of orders and the 90th-percentile position lands well between two actual order amounts. PERCENTILE_CONT produces a smooth value at that position; PERCENTILE_DISC would jump to whichever actual order happens to sit just above the 90th-percentile row. For a distribution summary, the smoother value reads more cleanly as a threshold.

The trap

The percentile functions run per group because of GROUP BY status, but the WITHIN GROUP (ORDER BY total_amount) clause inside each function is a separate, function-local sort. Reading the query, the two GROUP BY-flavored words look related, but they are not the same machinery: GROUP BY status partitions rows for the outer aggregation; WITHIN GROUP (ORDER BY total_amount) sorts the per-partition values that each ordered-set aggregate then walks. Confusing the two leads to writing a redundant ORDER BY total_amount at the query level, which does nothing useful here because the printed output is one row per status. The inner sort is the one that matters for the percentile calculation.

You practiced combining a regular aggregate (COUNT(*)) with two ordered-set aggregates (PERCENTILE_CONT at different fractions) in the same grouped query — distribution summaries in one pass.

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