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Answer:

2.683

Explanation:

Given the data: X: −3, 3, 0, 3, −3

Mean(m) = ΣX / n

n = number of observations = 5

(-3 + 3 + 0 + 3 + - 3) / 5

= 0 / 5

m = 0

√(Σ(x - m)² / n)

(-3 - 0)^2 + (3 - 0)^2 + (0 - 0)^2 + (3 - 0)^2 + (- 3 - 0)^2

= 9 + 9 + 0 + 9 + 9 / 5

= 36 / 5

= 7.2

√7.2

= 2.683

lhmarianateixeira

In this exercise we have to use the average knowledge to calculate the strandard deviation, like this:

The standard deviation is 2.683

Given the data: X: −3, 3, 0, 3, −3

And knowing the formula of the Mean(m)  is:

[tex]M = \sum X / n[/tex]

Where:

  • n = number of observations is 5

So puting the numbers in the formula:

[tex](-3 + 3 + 0 + 3 + - 3) / 5 = 0 / 5\\m = 0\\\sqrt{(\sum(x - m)^2 / n)} \\(-3 - 0)^2 + (3 - 0)^2 + (0 - 0)^2 + (3 - 0)^2 + (- 3 - 0)^2\\= 9 + 9 + 0 + 9 + 9 / 5\\= 36 / 5\\= 7.2\\=\sqrt{7.2} \\= 2.683[/tex]

See more about mean at brainly.com/question/521501

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