Question

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the mean, median, mode, and midrange for the given sample data in millions of dollars.

Given that these are the top 10 salaries, do we know anything about the salaries of TV personalities in general?

Are such top lists valuable for gaining insight into the larger population?8.3 9.2 9.8 12.1 13.5 14.7 26.5 34.7 36.5 37a. the mean is______b.the median is ______c. Select the correct choice below and fill in any answer boxes in your choice
A. The mode is______ ( use a comma to seperate answers as needed)B. There is no moded. the midrange is_____

Answer 1

a. 20.23

b. 14.1

c. 8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

d. 22.65

Step-by-step explanation:

Sum = 202.3

Count = 10

Mean = 202.3 / 10

Mean = 20.23

Since there is an even number of data values the median is the mean of the two data values in the middle, calculated as follows;

8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

Median = (13.5 + 14.7) / 2

Median = 14.1

Mode is the value or values in the data set that occur most frequently. Since all are occurred once so all the values will be considered as Mode;

Mode = 8.3, 9.2, 9.8, 12.1, 13.5, 14.7, 26.5, 34.7, 36.5, 37

Midrange = (Highest Value + Lowest Value) / 2

Midrange = (37 + 8.3) / 2

Midrange = 22.65