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Rylan is calculating the standard deviation of a data set that has 9 values. He determines that the sum of the squared deviations is 316. What is the standard deviation of the data set? Round the answer
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Rylan is calculating the standard deviation of a data set that has 9 values. He determines that the sum of the squared deviations is 316.

What is the standard deviation of the data set?
Round the answer to the nearest tenth.

User Ralf Wagner
by
3.2k points

1 Answer

6 votes
The formula for the sum of the squares of the deviations is
SS = s² (N -1)

We are given
SS = 316
N = 9

Substituting
316 = s² (9 - 1)
Solving for s
s = 6.28

The standard deviation is 6.28
User Pavel Karoukin
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3.5k points
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