Question

The following data points represent the weight (in kilograms) of 5 randomly selected dogs at the pound.

Answer 1

The standard deviation of the data set is 19.3

How to find the standard deviation of the data set?

The dataset is given as:

82, 94, 105, 68, 57

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (82 + 94 + 105 + 68 + 57)/5

Evaluate

Mean = 81.2

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}$

So, we have:

SD = √[(82 - 81.2)^2 + (94 - 81.2)^2 + (105 - 81.2)^2 + (68 - 81.2)^2 + (57 - 81.2)^2)/5 - 1]

This gives:

SD = √[1490.8/4]

So, we have:

SD = 19.3

Hence, the standard deviation of the data set is 19.3

Read more about standard deviation at

brainly.com/question/4514629

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