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

Class	Frequency $(f)$
$110-120$	$6$
$120-130$	$25$
$130-140$	$48$
$140-150$	$72$
$150-160$	$116$
$160-170$	$60$
$170-180$	$38$
$180-190$	$22$
$190-200$	$3$

Height (in $cm$)	Frequency	Cumulative frequency
$150-155$	$12$	$a$
$155-160$	$b$	$25$
$160-165$	$10$	$c$
$165-170$	$d$	$43$
$170-175$	$e$	$48$
$175-180$	$2$	$f$
Total	$50$	-

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

Similar Questions

Find the median of the following frequency distribution:

Class Frequency $(f)$

$110-120$ $6$

$120-130$ $25$

$130-140$ $48$

$140-150$ $72$

$150-160$ $116$

$160-170$ $60$

$170-180$ $38$

$180-190$ $22$

$190-200$ $3$

In the formula $Z = l + \left( \frac{f_{1} - f_{0}}{2f_{1} - f_{0} - f_{2}} \right) \times c$,$f_{1}$ represents:

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$l = \ldots \ldots \ldots$

Find the unknown entries $a, b, c, d, e, f$ in the following distribution of heights of students in a class:

Height (in $cm$) Frequency Cumulative frequency

$150-155$ $12$ $a$

$155-160$ $b$ $25$

$160-165$ $10$ $c$

$165-170$ $d$ $43$

$170-175$ $e$ $48$

$175-180$ $2$ $f$

Total $50$ -

While computing the mean of grouped data,we assume that the frequencies are

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