For the following data,the median class is ld | vedclass

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(D) To find the median class,we first calculate the cumulative frequency $(cf)$ for the given data:$1$. Class $0-10$: Frequency $12$,$cf = 12$$2$. Cla

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$20-30$

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(D) To find the median class,we first calculate the cumulative frequency $(cf)$ for the given data:$1$. Class $0-10$: Frequency $12$,$cf = 12$$2$. Class $10-20$: Frequency $18$,$cf = 12 + 18 = 30$$3$. Class $20-30$: Frequency $20$,$cf = 30 + 20 = 50$$4$. Class $30-40$: Frequency $17$,$cf = 50 + 17 = 67$$5$. Class $40-50$: Frequency $13$,$cf = 67 + 13 = 80$The total number of observations $N = 80$.We find $N/2 = 80/2 = 40$.The median class is the class interval whose cumulative frequency is greater than or equal to $N/2 = 40$.Looking at the cumulative frequencies $(12, 30, 50, 67, 80)$,the first value greater than $40$ is $50$.Therefore,the corresponding class interval is $20-30$.

Class interval	Frequency
$0-100$	$2$
$100-200$	$5$
$200-300$	$x$
$300-400$	$12$
$400-500$	$17$
$500-600$	$20$
$600-700$	$y$
$700-800$	$9$
$800-900$	$7$
$900-1000$	$4$

Class	$65-85$	$85-105$	$105-125$	$125-145$	$145-165$	$165-185$	$185-205$
Frequency	$4$	$5$	$13$	$20$	$14$	$8$	$4$

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	$50$	-

For the following data,the median class is $\ldots \ldots \ldots$

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$

Frequency $12$ $18$ $20$ $17$ $13$

Similar Questions

The median of the following data is $525$. Find the values of $x$ and $y$,if the total frequency is $100$.
Class interval Frequency
$0-100$ $2$
$100-200$ $5$
$200-300$ $x$
$300-400$ $12$
$400-500$ $17$
$500-600$ $20$
$600-700$ $y$
$700-800$ $9$
$800-900$ $7$
$900-1000$ $4$

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

Find the median of the following frequency distribution:

Class $65-85$ $85-105$ $105-125$ $125-145$ $145-165$ $165-185$ $185-205$

Frequency $4$ $5$ $13$ $20$ $14$ $8$ $4$

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 $50$ -

The median of the following frequency distribution is $46$ and the total frequency is $230$. Find the missing frequencies $x$ and $y$.

Class $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $12$ $30$ $x$ $65$ $y$ $25$ $18$

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Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$12$	$18$	$20$	$17$	$13$

For the following data,the median class is $\ldots \ldots \ldots$ Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ Frequency $12$ $18$ $20$ $17$ $13$