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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, $$ \cfrac{N}{2} = \cfrac{66}{2} = 33 $$
Thus $$37$$ is just greater than $$33$$, 
$$\therefore$$ The median class is "$$10-15.$$"
The lower limit of the median class is 10.
Modal class = class with maximum frequency.
$$ \therefore $$ Modal class is $$15-20.$$
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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