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A cumulative frequency distribution is given below: Class 10-12 13-15 16-18 19-21 22-24
Question

A cumulative frequency distribution is given below:
Class
10-12
13-15
16-18
19-21
22-24
Cumulative frequency
3
8
15
2
33
Which one of the following class has maximum frequency?

A.

10-12

B.

13-15

C.

16-18

D.

22-24

Correct option is D

Given:

The cumulative frequency distribution is as follows:

Class

Cumulative Frequency

10-12

3

13-15

8

16-18

15

19-21

20

22-24

33

Definition of Frequency:

The frequency of a class is calculated as the difference between the cumulative frequency of the current class and the cumulative frequency of the previous class.

Solution:

1. Calculate the frequencies for each class:

Frequency of 10-12 = 3 (no previous cumulative frequency).

Frequency of 13-15 = 8 - 3 = 5

Frequency of 16-18 = 15 - 8 = 7

Frequency of 19-21 = 20 - 15 = 5

Frequency of 22-24 = 33 - 20 = 13

2. Identify the class with the maximum frequency:

The class 22-24 has the maximum frequency of 13

Final Answer:

(D) 22-24

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