Consider the following frequency distribution | vedclass

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(C) $1$. Modal Class: The modal class is the class interval with the highest frequency. Here,the highest frequency is $15$,which corresponds to the cl

Vedclass · Accepted Answer

$315$

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(C) $1$. Modal Class: The modal class is the class interval with the highest frequency. Here,the highest frequency is $15$,which corresponds to the class interval $150-155$. Thus,the lower limit of the modal class is $150$.$2$. Median Class: To find the median class,we calculate the cumulative frequency $(cf)$:- $150-155$: $cf = 15$- $155-160$: $cf = 15 + 13 = 28$- $160-165$: $cf = 28 + 10 = 38$- $165-170$: $cf = 38 + 8 = 46$- $170-175$: $cf = 46 + 9 = 55$- $175-180$: $cf = 55 + 5 = 60$The total number of students $N = 60$. So,$N/2 = 30$. The cumulative frequency just greater than $30$ is $38$,which corresponds to the class interval $160-165$. Thus,the upper limit of the median class is $165$.$3$. Final Calculation: The sum of the lower limit of the modal class $(150)$ and the upper limit of the median class $(165)$ is $150 + 165 = 315$.

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

Marks	Below $20$	Below $40$	Below $60$	Below $80$	Below $100$
Number of students	$17$	$22$	$29$	$37$	$50$

Similar Questions

The median of the following frequency distribution is $50$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$

Frequency $5$ $x$ $20$ $y$ $2$

If $Z - M = 4$,then $M - \bar{x} = \dots$

The excluding type of class $30-45$ does not include .........

The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:

Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$

Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.

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Height (in $cm$)	Number of students
$150-155$	$15$
$155-160$	$13$
$160-165$	$10$
$165-170$	$8$
$170-175$	$9$
$175-180$	$5$

Consider the following frequency distribution of the heights of $60$ students of a class: Height (in $cm$) Number of students $150-155$ $15$ $155-160$ $13$ $160-165$ $10$ $165-170$ $8$ $170-175$ $9$ $175-180$ $5$ The sum of the lower limit of the modal class and upper limit of the median class is: