Question

Construct a histogram and then a frequency polygon for the following frequency distribution.

Class Interval	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	8	13	27	35	14	3

Answer 1

Steps : 

1. On the x-axis ,take 1 cm as 5 units and plot class interval.

2. On the y-axis , take 1 cm as 5 units and plot frequency.

3. Draw rectangle of histogram as per given data.

4. For each rectangle , mark the midpoint of its length at the top part . In this case , points are (5,8),(15,13),(25,27),(35,35),(45,14),(55,3).

5. Mark two more midpoints of zero frequency on x-axis at the start and at the end.

6. Now connect the points using straight lines.

Class Interval	Frequency
0-10	8
10-20	13
20-30	27
30-40	35
40-50	14
50-60	3