Question

Construct a frequency distribution table for the numbers given below, using the class intervals 21-30, 31-40, ... etc.

75, 65, 57, 26, 33, 44, 58, 67, 75, 78, 43, 41, 31, 21, 32, 40, 62, 54, 69, 48, 47, 51, 38, 39, 43, 61, 63, 68, 53, 56, 49, 59, 37, 40, 68, 23, 28, 36 and 47.

Use the table obtained to draw:

1. a histrogram
2. an ogive 

Answer 1

Class Interval	Tally	Frequency	c.f.
21 – 30	||||	4	4
31 – 40	|||| ||||	9	13
41 – 50	|||| ||||	9	22
51 – 60	|||| ||	7	29
61 – 70	|||| |||	8	37
71 – 80	|||	3	40

 
  
Plot the points (30, 4), (40, 13), (50, 22), (60, 29), (70, 37) and (80, 40) on the graph and join them with free hand to obtain an ogive.