Core stretch A histogram of 231 heights uses equal 5-cm classes $150\le h

Question

Core stretch

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]
2. Give a reason a dot plot is unsuitable.[3]
Find the percentage with height at least 165 cm, to 1 decimal place.[2]

Accepted Answer

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

Diagnosing a misleading histogram

Diagnosing a misleading histogram

Solution:

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