The median class in the following frequency d | vedclass

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Question

(A) First,calculate the cumulative frequency $(cf)$ for each class:- $20-25$: $cf = 2$- $25-30$: $cf = 2 + 5 = 7$- $30-35$: $cf = 7 + 8 = 15$- $35-40$

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$35-40$

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(A) First,calculate the cumulative frequency $(cf)$ for each class:- $20-25$: $cf = 2$- $25-30$: $cf = 2 + 5 = 7$- $30-35$: $cf = 7 + 8 = 15$- $35-40$: $cf = 15 + 10 = 25$- $40-45$: $cf = 25 + 7 = 32$- $45-50$: $cf = 32 + 10 = 42$- $50-55$: $cf = 42 + 3 = 45$The total frequency $n = 45$.We need to find $\frac{n}{2} = \frac{45}{2} = 22.5$.The median class is the class whose cumulative frequency is just greater than $22.5$.Looking at the cumulative frequencies,$25$ is the first value greater than $22.5$,which corresponds to the class interval $35-40$.Therefore,the median class is $35-40$.

Class	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$	$45-50$	$50-55$
Frequency	$2$	$5$	$8$	$10$	$7$	$10$	$3$

Income (in $Rs.$)	Number of families
$0-5000$	$8$
$5000-10000$	$26$
$10000-15000$	$41$
$15000-20000$	$16$
$20000-25000$	$3$
$25000-30000$	$3$
$30000-35000$	$2$
$35000-40000$	$1$

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
Frequency	$5$	$x$	$20$	$y$	$2$

The median class in the following frequency distribution is ..........

Class $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ $45-50$ $50-55$

Frequency $2$ $5$ $8$ $10$ $7$ $10$ $3$

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The median class in the following frequency distribution is .......... Class $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ $45-50$ $50-55$ Frequency $2$ $5$ $8$ $10$ $7$ $10$ $3$