Question

100 surnames were randomly picked up from a local telephone directory and a frequency
distribution of the number of letters in the English alphabet in the surnames was found
as follows:
Number of letters Number of surnames
1 - 4 6
4 - 6 30
6 - 8 44
8 - 12 16
12 - 20 4
(i) Draw a histogram to depict the given information.
(ii) Write the class interval in which the maximum number of surnames lie.

Answer 1

Solution:

ATQ

Number of letters Number of surnames
------ 1 - 4 ---------------------- 6
---------4 - 6 ----------------------- 30
---------6 - 8 --------------------- 44
---------8 - 12 ------------------ 16
----------12 - 20 -------- -------- 4

1) To draw histogram, Take number of surnames at Y-axis and Number of letters on X -axis

Remember that in histogram both axis are continuous

2) Maximum number of surnames lies in
class 6-8

Having 44 surnames

For histogram please refer to the image attached.

Hope it helps you.