Question

A study examined music performance anxiety. Scores on the Performance Anxiety Inventory (PAl) scale for participants in eight different studies are reproduced in the following table a. Find and interpret the mean of the PAI scores b. Find and interpret the median of the PAI scores. C. Suppose the PAI score of 44 results from a study involving development-delayed children; consequently, the researchers eliminated this data value from the analysis. What impact does this have on the value of the mean? The median? 59 4756 44 46 48 6045 a. Find the mean The mean is Round to one decimal place as needed)

Answer 1

a)Mean of the PAI scores

b) To compute the median of the PAI scores,

sorting the values in the ascending order of magnitude, we get

44, 45, 46, 47, 48, 56, 59, 60

Median will be the middlemost the value in the sorted data set.

Number of observations = 8

Here, mean of th value and the value will be the median.

4th value in the sorted data set = 47

5th value in the sorted data set = 48

Median =

474547.5