Given
Number of values = 9
sum of squared deviations = 316
The sum of squared deviations is related to the standard deviation s by the formula
[tex]\begin{gathered} s\text{ = }\sqrt{\frac{SS}{n-1}} \\ Where\text{ SS is the sum of squared deviations} \\ and\text{ n is the number of sample} \end{gathered}[/tex]
Applying the formula to the problem:
[tex]\begin{gathered} s\text{ = }\sqrt{\frac{316}{9-1}} \\ =\text{ }\sqrt{39.5} \\ =\text{ 6.2849025} \\ \approx\text{ 6.3 \lparen nearest tenth\rparen} \end{gathered}[/tex]
Answer:
standard deviation = 6.3
