Question

A distribution of numbers has the following five-number summary: 13.7, 24.5, 38.9, 50.0, 73.2 True or False? These numbers can be used to calculate the standard deviation of the distribution. A. True B. False

Answer 1

the answer is false

Explanation:

Answer 2

False

Explanation:

Given that a distribution of numbers has the following five-number summary: 13.7, 24.5, 38.9, 50.0, 73.2

These five numbers are known as minimum, I quartile, Median, III quartile and max respectively.

This gives an idea about the scatter of data on either side of median, the interquartile range, and also help to find outliers if any.

But std deviation is the square root of variance. Variance is the average of sum of squares of deviations from the mean.

Hence without knowing mean and each entry just with five number summary we may not be able to find out the standard deviation.