A group of 149 people were asked to rate on a scale of 1 to

A group of 149 people were asked to rate, on a scale of 1 to 10, their feelings toward a political candidate based on a number of issues. The table below shows the responses given to one of the items on the questionnaire. Find the median. Explain how you came to this conclusion.

Rating, x   

1

2

3

4

5

6

7

8

9

10

Frequency, f

1                                

2

9

12

17

24

29

25

15

15

What is the median rating? How did you come to this conclusion?

Solution

Median will be middle value of the ordered data set. Since there are total 149 values, so median will be 75 data value.

Number of data values from 2 to 7 will be

2+9+12+17+24+29=93

And number of data values from 2 to 6 will be

2+9+12+17+24+29=64

So 75th data value is rating 7. Hence, median will be rating 7.