Question

The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the year: 12, 6, 15, 9, 28, 12. Use the data for the exercise. Find the standard deviation.

Answer 1

The standard deviation is 7

Explanation:

The standard deviation formula is as follows

`\sigma=\sqrt[]{\frac{\sum^N_i(x_i-\mu)^2_{}}{N}}`

The first thing is to calculate the average of the sample like this:

`\begin{gathered} \mu=(12+6+15+9+28+12)/(6) \\ \mu=(82)/(6)=13.67 \end{gathered}`

Replacing and calculate the standard deviation: