Question

what is the standard deviation of the data set given below? 4, 7, 8, 9, 12

Answer 1

Answer:

sqrt 8.5

Step-by-step explanation:

apex

Answer 2

If the value of the mean is 8. Then the standard deviation of the data set will be 2.61.

What is a standard deviation?

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The data is given as

4, 7, 8, 9, 12

Then the mean of the data will be

Mean = (4 + 7 + 8 + 9 + 12) / 5

Meam = 8

Then the standard deviation will be

$\rm SD = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}$

Then we have

$\rm SD = \sqrt{\dfrac{(4-8)^2+(7-8)^2+(8-8)^2+(9-8)^2+(12-8)^2}{5}}\\\\SD = \sqrt{\dfrac{16 + 1 + 0 + 1 + 16}{5}}\\\\SD = \sqrt{\dfrac{34}{5}}$

Then the value of the standard deviation will be

SD = 2.61

More about the standard deviation link is given below.

https://brainly.com/question/12402189

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