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

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$315$

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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	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$
Frequency	$11$	$20$	$35$	$20$	$8$	$6$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$5$	$12$	$18$	$40$	$15$	$7$	$3$

Similar Questions

Find the mean,median and mode of the following frequency distribution:

Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$

Frequency $11$ $20$ $35$ $20$ $8$ $6$

For some given data,if $Z - M = 12$,then $M - \bar{x} = \ldots \ldots \ldots$

If mode $= 25$ and mean $= 19,$ then median $= \dots$

.......... is not a measure of central tendency.

Find the mean,median and mode of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$

Frequency $5$ $12$ $18$ $40$ $15$ $7$ $3$

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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: