Find the mode of the following frequency dist | vedclass

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

Question

(A) To find the mode of a grouped frequency distribution,we use the formula:$Mode = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$$1$

Vedclass · Accepted Answer

$57$

Vedclass · Answer

(A) To find the mode of a grouped frequency distribution,we use the formula:$Mode = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$$1$. Identify the modal class: The class with the highest frequency is $40-60$ (frequency $26$).$2$. Here,the lower limit of the modal class $l = 40$,the size of the class interval $h = 20$.$3$. The frequency of the modal class $f_1 = 26$.$4$. The frequency of the class preceding the modal class $f_0 = 9$.$5$. The frequency of the class succeeding the modal class $f_2 = 23$.$6$. Substituting these values into the formula:$Mode = 40 + \left( \frac{26 - 9}{2(26) - 9 - 23} ight) 	imes 20$$Mode = 40 + \left( \frac{17}{52 - 32} ight) 	imes 20$$Mode = 40 + \left( \frac{17}{20} ight) 	imes 20$$Mode = 40 + 17 = 57$Thus,the mode is $57$.

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$	$100-120$
Frequency	$8$	$9$	$26$	$23$	$20$	$14$

Class	$0-20, 20-40, 40-60, 60-80, 80-100, 100-120$
Frequency	$10, f, 7, 6, 5, 4$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$7$	$12$	$x$	$28$	$y$	$9$

Find the mode of the following frequency distribution:

Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$

Frequency $8$ $9$ $26$ $23$ $20$ $14$

Similar Questions

For some given data,if $Z - M = 2$ and $\bar{x} = 33.5$,then $Z = \ldots \ldots \ldots$ (in $.5$)

The mean of the following frequency distribution is $46$. Find the missing frequency $f$.

Class $0-20, 20-40, 40-60, 60-80, 80-100, 100-120$

Frequency $10, f, 7, 6, 5, 4$

In the formula $M = l + \frac{(\frac{n}{2} - cf)}{f} \times h$ for the median,$n = \ldots \ldots \ldots$

The mode of the following data is $33 \frac{1}{3}$ and the total frequency is $100$. Find the missing frequencies $x$ and $y$.

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

Frequency $7$ $12$ $x$ $28$ $y$ $9$

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the mode of the following frequency distribution: Class $0-20$ $20-40$ $40-60$ $60-80$ $80-100$ $100-120$ Frequency $8$ $9$ $26$ $23$ $20$ $14$