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

(C) The modal class is the class with the highest frequency. Here,the highest frequency is $66$,which corresponds to the class interval $60-75$.Formul

Vedclass · Accepted Answer

$67$

Vedclass · Answer

(C) The modal class is the class with the highest frequency. Here,the highest frequency is $66$,which corresponds to the class interval $60-75$.Formula for mode: $	ext{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Here:$l$ (lower limit of modal class) $= 60$$h$ (class size) $= 15$$f_1$ (frequency of modal class) $= 66$$f_0$ (frequency of the class preceding the modal class) $= 45$$f_2$ (frequency of the class succeeding the modal class) $= 42$Substituting the values:$	ext{Mode} = 60 + \left( \frac{66 - 45}{2(66) - 45 - 42} ight) 	imes 15$$	ext{Mode} = 60 + \left( \frac{21}{132 - 87} ight) 	imes 15$$	ext{Mode} = 60 + \left( \frac{21}{45} ight) 	imes 15$$	ext{Mode} = 60 + \left( \frac{21}{3} ight) = 60 + 7 = 67$

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

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$4$	$5$	$9$	$10$	$14$	$8$

Number of seats	$100-104$	$104-108$	$108-112$	$112-116$	$116-120$
Frequency	$15$	$20$	$32$	$18$	$15$

Find the mode of the following frequency distribution:

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

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

Similar Questions

If $Z - M = 4$,then $M - \bar{x} = \dots$

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

The median class of the following frequency distribution is ...........
Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$
Frequency $4$ $5$ $9$ $10$ $14$ $8$

Total frequency $n = 50$.

An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table:

Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$

Frequency $15$ $20$ $32$ $18$ $15$

Determine the mean number of seats occupied over the flights. (in $.92$)

For some given data,if $Z = 16$ and $M = 18$,then $\bar{x} = \ldots \ldots \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the mode of the following frequency distribution: Class $0-15$ $15-30$ $30-45$ $45-60$ $60-75$ $75-90$ $90-105$ Frequency $4$ $5$ $23$ $45$ $66$ $42$ $15$