Question

The following data show the average hourly wage( in dollars) of customer service representative for a random sample of U.S states 17.94 20.43 21.28 20.41 17.04

Answer 1

Step-by-step explanation:

Given:

The average hourly wage: 17.94 20.43 21.28 20.41 17.04

To find:

a) sample mean, b) sample standard deviation

To determine the sample mean, we will apply the formula:

`\begin{gathered} Smaple\text{ mean = }(1)/(n)\sum_\text{ x} \\ \\ n\text{ = number of dataset = 5} \\ Sample\text{ mean = }(1)/(5)(17.94+20.43+21.28+20.41+17.04) \end{gathered}`
`\begin{gathered} Sample\text{ mean = }(1)/(5)(97.1) \\ \\ Sample\text{ mean = 19.42} \end{gathered}`

To get the median, we need to re-arrange the numbers either in ascending or descending order

In ascending order: 17.04, 17.94, 20.41, 20.43, 21.28

The middle number is 20.41. Hence, the median is 20.41

To determine the sample variance, we will apply the formula: