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The time for degree completion was record below.Years465658Calculate the standard deviation.

Question

The time for degree completion was record below.

Years

4 6 5 6 5 8

Calculate the standard deviation.

check_circleAnswer
Step 1

Calculation:

The number of observations on time for degree completion (years) is, n = 6. Denote xi as the ith observation; i = 1, 2, …, 6.

In order to find the standard deviation, first, it is necessary to calculate the mean as follows:

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Step 2

Variance:

The standard deviation is the square root of the variance. Now, the variance is calculated as follows:

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Step 3

Standard deviation:

The standard deviation, σ, which is the square root of the variance, is:

σ = √(14/9) = √(14)/3 &asy...

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