Question

A distribution data has a maximum value of 96, a median value of 56.5, and a minimum of 23. Use the range rule of thumb to estimate the standard deviation. Round results to the nearest tenth.

Answer 1

The standard deviation estimate by the Range Rule of Thumb = 18.3

Explanation:

i) maximum = 96

ii) minimum = 23

iii) standard deviation
`\approx`
`\frac{(maximum\hspace{0.1cm} - \hspace{0.1cm} minimum)}{4} = (96 - 23)/(4) = (73)/(4) = 18.25`

The standard deviation estimate by the Range Rule of Thumb = 18.3