Question

The marks obtained by 40 students of a class are given below: 80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60 and 60.
Construct a frequency distribution table.

Answer 1

Step 1: Arranging marks in ascending order
Given,
80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60 and 60.
Required ascending order:
10, 10, 20, 20, 20, 30, 30, 30, 40, 40, 40, 40, 40, 40, 40, 50, 50, 50, 50, 50, 50, 60, 60, 60, 60, 60, 60, 60, 70, 70, 70, 70, 70, 80, 80, 80, 80, 90, 90, 90.

Step 2: Constructing the frequency distribution table
Hence, required frequency distribution table of marks is:

Marks	Tally Marks	Frequency
10	||	2
20	|||	3
30	|||	3
40	|||| ||	7
50	|||| |	6
60	|||| ||	7
70	||||	5
80	||||	4
90	||||	3
Total		40