Diagnosing a misleading histogram

Diagnosing a misleading histogram

Secondary 2
TGM Original Questions

A histogram of 231 heights uses equal 5-cm classes \(150\le h<155\) through \(170\le h<175\), with frequencies 48,47,46,45,45. The displayed vertical axis begins at 44 rather than 0.

    1. Explain why a viewer may think the differences are large.
    2. Give a reason a dot plot is unsuitable.
  2. Find the percentage with height at least 165 cm, to 1 decimal place.

Solution:

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Answer:(a)(i) truncated axis exaggerates differences; (ii) too many grouped continuous observations; (b) \(39.0\%\).

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