The mode of the following frequency distribut | vedclass

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

Question

(C) The mode is given as $37$. Since $37$ lies in the class interval $30-40$,the modal class is $30-40$.The formula for mode is: $	ext{Mode} = l + \l

Vedclass · Accepted Answer

$11$

Vedclass · Answer

(C) The mode is given as $37$. Since $37$ lies in the class interval $30-40$,the modal class is $30-40$.The formula for mode is: $	ext{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Here,$l = 30$ (lower limit of modal class),$h = 10$ (class size),$f_1 = 18$ (frequency of modal class),$f_0 = x$ (frequency of preceding class),and $f_2 = 15$ (frequency of succeeding class).Substituting the values: $37 = 30 + \left( \frac{18 - x}{2(18) - x - 15} ight) 	imes 10$$37 - 30 = \left( \frac{18 - x}{36 - 15 - x} ight) 	imes 10$$7 = \left( \frac{18 - x}{21 - x} ight) 	imes 10$$7(21 - x) = 10(18 - x)$$147 - 7x = 180 - 10x$$10x - 7x = 180 - 147$$3x = 33$$x = 11$.

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$
Frequency	$4$	$7$	$x$	$18$	$15$	$8$	$7$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$5$	$3$	$4$	$f$	$2$	$6$	$13$

Class	$4-8$	$8-12$	$12-16$	$16-20$	$20-24$	$24-28$
Frequency	$9$	$8$	$12$	$7$	$15$	$1$

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

The mode of the following frequency distribution is $37$. Find the missing frequency $x$.
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$ $60-70$
Frequency $4$ $7$ $x$ $18$ $15$ $8$ $7$

Similar Questions

If $Z+M=34$ and $M+\bar{x}=40,$ then $M=\ldots \ldots \ldots . . .$

The mean of the following frequency distribution is $52$. Find the missing frequency $f$.

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

Frequency $5$ $3$ $4$ $f$ $2$ $6$ $13$

The modal class of the following frequency distribution is ........
Class $4-8$ $8-12$ $12-16$ $16-20$ $20-24$ $24-28$
Frequency $9$ $8$ $12$ $7$ $15$ $1$

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 a given frequency distribution,$A=325, c=50, \Sigma f_{i} u_{i}=28$ and $\Sigma f_{i}=200$. Then,mean $\bar{x}=\ldots \ldots \ldots . .$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

The mode of the following frequency distribution is $37$. Find the missing frequency $x$.Class$0-10$$10-20$$20-30$$30-40$$40-50$$50-60$$60-70$Frequency$4$$7$$x$$18$$15$$8$$7$