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Look beyond the average

Interpret mean, median, range and group size together.

Data and charts · 2/5

Method and limits

The mean uses every value; the median locates the sorted middle. They can differ. Inspect the distribution before describing it; a large value is not automatically an error. Group means require count weighting when combined.

Worked teaching case

Both groups average five: A is 4, 5, 6; B is 1, 1, 13. A has median five and range two; B has median one and range twelve. Calling the experiences identical hides B’s long wait.

Judge before reviewing

Review all options
  1. 7.5 weights groups equally instead of observations.
  2. Adding group means does not give an overall mean.
  3. Correct: (2×10+8×5)/10=6.

Data and chart workbench

Process a local two-column group,value CSV, up to 500 rows and 20 groups. Values must use one unit. Blanks stay missing; equal rows may be separate events. Data is not uploaded.

group,value
A,4
A,6
A,
A,10
B,2
B,2
B,2
B,14

Record the unfiltered result before comparing exclusions. Charts show summaries; inspect the raw CSV for distributions. Means do not represent every experience.

Independent attempt and revision

Two repair shops average three days: A is 3,3,3 and B is 1,1,7. Compare them and state what is missing.

Reference and self-check

The means match, but B varies more and has a lower median. Small samples and unknown repair difficulty or periods prevent a long-term ranking.

AI collaboration and verification

Simulated AI suggestion: “Fill all missing values with zero; equal means prove equal service quality.”

This is a prewritten teaching candidate, not live model output. Judge independently, then check each claim; you may use your own candidate instead.

Checking hint

The candidate generalizes beyond records or conditions. Preserve denominators, assistance or scope from the lesson. Softer wording alone is not verification.

Full AI verification workflow and practice

Practice archive and versions

Save an independent attempt before a revision, up to 50 versions. This archive contains this page’s inputs in this language. Files can be restored to the same page and language; there is no automatic synchronization or backup of other legacy lessons.

Further reading

OpenStax · Visualizing Data

Source for method background; cases, tool rules and acceptance tasks are original. The source has not validated this course. Source checked 2026-10-04.

Written and maintained by Fineuralab. Updated 2026-10-04. Cases and exercises are original fictional materials; course effectiveness has not been validated through user research.

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