Question

The table below shows the scores of a group of students on a 10-point quiz.

Test ScoreFrequency

3 4

4 3

5 3

6 2

7 1

8 1

9 1

10 6

The mean score on this test is:

The median score on this test is

Answer 1

Solution:

Part a) The mean score on this test is:_______?

Formula:

xi: Test Score	fi: frequency	xi * fi
3	4	12
4	3	12
5	3	15
6	2	12
7	1	7
8	1	8
9	1	9
10	6	60

Thus

Part b) The median score on this test is_________?

Find CF = Cumulative Frequencies for given frequency distribution.

To find CF , we add frequencies from top to bottom.

xi: Test Score	fi: frequency	CF: Cumulative Frequencies
3	4	4
4	3	7
5	3	10
6	2	12
7	1	13
8	1	14
9	1	15
10	6	21
	N = 21

Find N / 2 = 21 / 2 = 10.5

Find CF such that:
CF N/2 for first time

that is
CF 10.5

From table we have: CF =12 > 10.5 for first time.

Thus corresponding x value = 6 is the median.

Thus median = 6