Choose the correct answer from the given four options : For the following distribution : 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 modal class is :

Choose the correct answer from the given four options : For the f…

MCQ

Choose the correct answer from the given four options : For the following distribution :

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 modal class is :

A
$15$
✓
$25$
C
$30$
D
$35$

✓

Answer

Correct option: B.

$25$

Here,

Class	Frequency	Cumulative frequency
$0-5$	$10$	$10$
$5-10$	$15$	$25$
$10-15$	$12$	$37$
$15-20$	$20$	$57$
$20-25$	$9$	$66$

Now, $\frac{\text{N}}{2}=\frac{66}{2}=33,$ which lies in the interval $10-15.$
Therefore, lower limit of the median class is $10.$
The highest frequency is $20,$ which lies in the interval $15-20$.
Therefore, lower limit of modal class is $15.$
Hence, required sum is $10 + 15 = 25.$

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