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Grade 6 · unit review

Review: Ask Statistical Questions and Summarize Distributions

Recognize variability, display data, measure center, and compare spread with IQR and MAD.

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Use these 4 new cases to check your reasoning. Choices are temporary and are not saved to an account, sent to staff or recorded as school grades. Download your current review choices before leaving or reloading.

Unit review questions
1. Which question is not statistical in this supplied setting?
Need a hint?
  • Specify what was observed and its measurement unit.
  • Histogram bins must give each observation exactly one home.
2. Find the mean of the minute record [2, 3, 5, 6, 9].
Need a hint?
  • Use all observations, including repeats, in the mean total.
  • The median requires sorted data; the mean need not be a value present in the record.
3. Using medians of lower and upper halves, find IQR for [2, 4, 4, 6, 8, 10, 10, 12].
Need a hint?
  • Write the quartile convention before comparing results.
  • IQR is Q3 minus Q1, not maximum minus minimum.
4. Find MAD for the minute record 5, 5, 13, 13.
Need a hint?
  • Average distances rather than signed differences.
  • A shared mean does not imply equal spread or identical distributions.

The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.

Use the skills in a new task

Compare records A: 4,4,6,6 and B: 1,3,7,9, all in minutes. Calculate mean and MAD and describe their scope.

Work on paper or in your own document. Explain the choices you made.

  • Show the supplied quantities or shape attributes in a labeled model.
  • Explain each operation or classification using this unit’s definitions.
  • Check the result against the supplied situation.
Compare with a model response

Both means are five minutes. A’s distances from five are 1,1,1,1, so MAD is one. B’s distances are 4,2,2,4, so MAD is three. B is more spread by this measure; only these supplied records are compared.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.