A distribution of numbers has the following five-number summary:
20.2, 22.4, 30.0, 37.6, 39.8
True or False? These numbers can be used to calculate the standard deviation of the distribution.
Please Answer quickly! I need this done ASAP! Please.

Respuesta :

The answer is False; I put True and it was wrong

The correct answer is:


False.


Explanation:


Using the five number summary, we can estimate the standard deviation.


The quartiles are about 0.67 standard deviations from the mean; this could be used to estimate the standard deviation.


However, we cannot accurately calculate the standard deviation using only the fie number summary.