Find the mean the median and all the modes for the pay rates

Find the mean, the median, and all the modes for the pay rates in the given frequency distribution.

Hourly pay rates for employees

Frequency

$9.00

8

$13.00

29

$16.75

7

$21.00

5

Solution

Hourly pay rates for emplouees

Frequency

<cumulative frequency

9.00

8

8

13.00

29

37

16.75

7

44

21.00

5

49

Mean = =     = 13.6990

Median = 13

f =N =49, therefore N/2 = 24.5

The value of which is just greater than the cumulative frequency corresponding x value is the median

Mode : for discrete frequency distribution we can find the mode value by the value having maximum frequency corresponding x value is called as mode value.

Therefore mode   = 13