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Question

Given the following distribution table:

Class
0−5
5−10
10−15
15−20
20−25
Frequency
10
15
12
20
9
The sum of lower limits of the Median class and the Modal class is:

A
15
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B
25
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C
30
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D
35
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Solution

The correct option is B 25
Answer:-
The cumulative frequency Table is:-

ClassFrequency Cumulative frequency
0-5 10 10
5-10 15 25
10-15 12 37
15-20 20 57
20-25 9 66
Here, N2=662=33
Thus 37 is just greater than 33,
The median class is "1015."
The lower limit of the median class is 10.
Modal class = class with maximum frequency.
Modal class is 1520.
The lower limit of the modal class is 15.
Sum of lower limits of median class and modal class = 10+15=25



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