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

(B) 						Class			Frequency $(f)$			Cumulative frequency $(cf)$							$5-10$			$5$			$5$							$10-15$			$6$			$11$							$15-20$			$15$			$26$

Vedclass · Accepted Answer

$19.5$

Vedclass · Answer

(B) 						Class			Frequency $(f)$			Cumulative frequency $(cf)$							$5-10$			$5$			$5$							$10-15$			$6$			$11$							$15-20$			$15$			$26$							$20-25$			$10$			$36$							$25-30$			$5$			$41$							$30-35$			$4$			$45$							$35-40$			$2$			$47$							$40-45$			$2$			$49$			Here,the total frequency $n = 49$.$	herefore \frac{n}{2} = \frac{49}{2} = 24.5$.The cumulative frequency just greater than $24.5$ is $26$,which corresponds to the class interval $15-20$.Therefore,the median class is $15-20$.Here,$l = 15$ (lower limit of median class),$cf = 11$ (cumulative frequency of the class preceding the median class),$f = 15$ (frequency of the median class),and $h = 5$ (class size).Using the median formula: $M = l + \left( \frac{\frac{n}{2} - cf}{f} ight) 	imes h$$M = 15 + \left( \frac{24.5 - 11}{15} ight) 	imes 5$$M = 15 + \left( \frac{13.5}{15} ight) 	imes 5$$M = 15 + \frac{13.5}{3} = 15 + 4.5 = 19.5$.Thus,the median of the given frequency distribution is $19.5$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$
Frequency	$6$	$x$	$17$	$y$	$8$

Class	$0-15$	$15-30$	$30-45$	$45-60$	$60-75$	$75-90$	$90-105$
Frequency	$4$	$5$	$23$	$45$	$66$	$42$	$15$

Find the median of the following frequency distribution:

Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ $35-40$ $40-45$

Frequency $5$ $6$ $15$ $10$ $5$ $4$ $2$ $2$

Similar Questions

For a given frequency distribution,$\bar{x}=20, \Sigma f_{i} u_{i}=-50, n=100$ and $c=10$. Then,assumed mean $A = \ldots \ldots \ldots \ldots$

If $Z = 36.8$ and $M = 33.6$,then $\bar{x} = \ldots \ldots \ldots \ldots .$

The mean of the following data is $26.5$ and the total frequency is $60$. Find the missing frequencies $x$ and $y$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$
Frequency $6$ $x$ $17$ $y$ $8$

Find the mode of the following frequency distribution:

Class $0-15$ $15-30$ $30-45$ $45-60$ $60-75$ $75-90$ $90-105$

Frequency $4$ $5$ $23$ $45$ $66$ $42$ $15$

For the following distribution:

Class $0-5$ $5-10$ $10-15$ $15-20$ $20-25$

Frequency $10$ $15$ $12$ $20$ $9$

the sum of the lower limits of the median class and the modal class is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Class	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$	$35-40$	$40-45$
Frequency	$5$	$6$	$15$	$10$	$5$	$4$	$2$	$2$

Class	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$
Frequency	$10$	$15$	$12$	$20$	$9$

Find the median of the following frequency distribution: Class $5-10$ $10-15$ $15-20$ $20-25$ $25-30$ $30-35$ $35-40$ $40-45$ Frequency $5$ $6$ $15$ $10$ $5$ $4$ $2$ $2$