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algol [13]
3 years ago
9

Rylan is calculating the standard deviation of a data set that has 9 values. He determines that the sum of the squared deviation

s is 316. What is the standard deviation of the data set? Round the answer to the nearest tenth
Mathematics
2 answers:
stepladder [879]3 years ago
6 0
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

olga_2 [115]3 years ago
5 0

Answer:

6.3

Step-by-step explanation:

We have been given that 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.      

We will use the formula \text{Standard deviation}=\sqrt{\frac{\text{Sum of squares}}{n-1}}, where n represents the number of data points in a data set.

Upon substituting our given values in above formula we will get,

\text{Standard deviation}=\sqrt{\frac{316}{9-1}}

\text{Standard deviation}=\sqrt{\frac{316}{8}}

\text{Standard deviation}=\sqrt{39.5}

\text{Standard deviation}=6.284902544988\approx 6.3

Therefore, the standard deviation of our given data set is 6.3.

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