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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.

Answer :

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

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Rewritten by : Barada

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.