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Katarina [22]
3 years ago
10

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

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

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

<h3>How the standard deviation of a data-set is found?</h3>
  • The standard deviation of a data-set is given by the <u>square root of the sum of the differences squared between each observation and the mean, divided by the number of values</u>.
  • The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.

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 <em>standard deviation</em> 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 brainly.com/question/12180602

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