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

(B) The modal class is the class with the highest frequency. Here,the highest frequency is $37$,which corresponds to the class interval $200-300$.Thus

Vedclass · Accepted Answer

$240$

Vedclass · Answer

(B) The modal class is the class with the highest frequency. Here,the highest frequency is $37$,which corresponds to the class interval $200-300$.Thus,the modal class is $200-300$.We use the formula for mode: $Z = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Where:$l$ (lower limit of modal class) $= 200$$h$ (class size) $= 100$$f_1$ (frequency of modal class) $= 37$$f_0$ (frequency of the class preceding the modal class) $= 21$$f_2$ (frequency of the class succeeding the modal class) $= 13$Substituting these values into the formula:$Z = 200 + \left( \frac{37 - 21}{2(37) - 21 - 13} ight) 	imes 100$$Z = 200 + \left( \frac{16}{74 - 34} ight) 	imes 100$$Z = 200 + \left( \frac{16}{40} ight) 	imes 100$$Z = 200 + 0.4 	imes 100$$Z = 200 + 40 = 240$Therefore,the mode of the given frequency distribution is $240$.

Marks	Below $20$	Below $40$	Below $60$	Below $80$	Below $100$
Number of students	$17$	$22$	$29$	$37$	$50$

Find the mode of the following frequency distribution:

Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$

Frequency $7$ $21$ $37$ $13$ $12$ $10$

Similar Questions

The formula $\ldots \ldots$ represents the empirical relationship between the measures of central tendency.

Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:

Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$

Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.

For some given data,if $M + \bar{x} = 32$ and $M - \bar{x} = 2$,then $Z = \ldots \ldots \ldots$

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.

$Z - \bar{x} = \dots \times (M - \bar{x})$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the mode of the following frequency distribution: Class $0-100$ $100-200$ $200-300$ $300-400$ $400-500$ $500-600$ Frequency $7$ $21$ $37$ $13$ $12$ $10$