Find the median of the following frequency di | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$60-70$$5$$5$$70-80$$15$$20$$

Vedclass · Accepted Answer

$93$

Vedclass · Answer

(D) To find the median,we first calculate the cumulative frequency $(cf)$:ClassFrequency $(f)$Cumulative Frequency $(cf)$$60-70$$5$$5$$70-80$$15$$20$$80-90$$20$$40$$90-100$$30$$70$$100-110$$20$$90$$110-120$$8$$98$Total frequency $N = 98$. So,$N/2 = 98/2 = 49$.The cumulative frequency just greater than $49$ is $70$,which corresponds to the class interval $90-100$. Thus,the median class is $90-100$.Here,$l = 90$,$f = 30$,$cf = 40$,and $h = 10$.Using the formula: $	ext{Median} = l + \left( \frac{\frac{N}{2} - cf}{f} ight) 	imes h$$	ext{Median} = 90 + \left( \frac{49 - 40}{30} ight) 	imes 10$$	ext{Median} = 90 + \left( \frac{9}{30} ight) 	imes 10 = 90 + 3 = 93$.

Height (in $cm$)	Number of girls
Less than $140$	$4$
Less than $145$	$11$
Less than $150$	$29$
Less than $155$	$40$
Less than $160$	$46$
Less than $165$	$51$

Class	$12.5-17.5$	$17.5-22.5$	$22.5-27.5$	$27.5-32.5$	$32.5-37.5$
Frequency	$2$	$22$	$19$	$14$	$13$

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$2$	$6$	$8$	$16$	$20$	$18$	$16$	$14$

Find the median of the following frequency distribution:

Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$

Frequency $5$ $15$ $20$ $30$ $20$ $8$

Similar Questions

Construct the cumulative frequency distribution of the following distribution:

Class $12.5-17.5$ $17.5-22.5$ $22.5-27.5$ $27.5-32.5$ $32.5-37.5$

Frequency $2$ $22$ $19$ $14$ $13$

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

Find the median of the following frequency distribution:

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$

Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$

The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the median of the following frequency distribution: Class $60-70$ $70-80$ $80-90$ $90-100$ $100-110$ $110-120$ Frequency $5$ $15$ $20$ $30$ $20$ $8$

Similar Questions

$A$ survey regarding the heights (in $cm$) of $51$ girls of Class $X$ of a school was conducted and the following data was obtained:Height (in $cm$)Number of girlsLess than $140$$4$Less than $145$$11$Less than $150$$29$Less than $155$$40$Less than $160$$46$Less than $165$$51$Find the median height.

Construct the cumulative frequency distribution of the following distribution: Class $12.5-17.5$ $17.5-22.5$ $22.5-27.5$ $27.5-32.5$ $32.5-37.5$ Frequency $2$ $22$ $19$ $14$ $13$

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

Find the median of the following frequency distribution: Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$ $70-80$ Frequency $2$ $6$ $8$ $16$ $20$ $18$ $16$ $14$