Question

A sample was done, collecting the data below. Calculate the standard deviation, to one decimal place.

x
6
7
5
22
26

Answer 1

Using it's formula, it is found that the standard deviation of the data-set is of 8.9.

How the standard deviation of a data-set is found?

• The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

• The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

In this problem, the data-set is: {6, 7, 5, 22, 26}.

The mean is:

$M = \frac{6 + 7 + 5 + 22 + 26}{5} = 13.2$

Hence, the standard deviation is:

$S = \sqrt{\frac{(6-13.2)^2+(7-13.2)^2+(5-13.2)^2+(22-13.2)^2+(26-13.2)^2}{5}} = 8.9$

You can learn more about the standard deviation at https://brainly.com/question/12180602