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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
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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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8.4k points
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