Mode

IMPORTANT

Mode: Overview

This topic covers concepts such as Mode, Modal Class in Grouped Data, Mode of Grouped Data, and Relations between Mean, Median and Mode.

Important Questions on Mode

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 1

If the value of mean and median are $12$ and $9$ respectively, find the value of mode using the formula of the relationship between mean, median, and mode.

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 2

If the value of mean and median are 10 and 7 respectively, find the value of mode using the formula of the relationship between mean, median, and mode.

EASY

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 3

Find the mode of the following distribution:

Height (in cm)	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
No. of plants	$4$	$3$	$8$	$12$	$6$	$2$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 4

Find the mode from the following information: $L = 10, h = 2, f_{0} = 58, f_{1} = 70, f_{2} = 42$ .

HARD

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 5

Find the mode of the following frequency distribution (correct to two decimal places):-

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
$f_{i}$	$6$	$10$	$13$	$7$	$4$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 6

The mode from following frequency distribution is:

Class	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$	$35 - 40$	$40 - 45$
Frequency	$3$	$7$	$16$	$12$	$9$	$5$	$3$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 7

Find the mode from following frequency distribution:

Height (in $cm$ )	$52 - 55$	$55 - 58$	$58 - 61$	$61 - 64$
Number of students	$10$	$20$	$25$	$10$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 8

On sports day of a school, age-wise participation of students is shown in the following distribution.

Age (in years)	$5 - 7$	$7 - 9$	$9 - 11$	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$
Number of students	$x$	$15$	$18$	$30$	$50$	$48$	$x$

Find the mode of the data. Also, find missing frequencies when the sum of frequencies is $181$ .

HARD

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 9

Given below is the frequency distribution of the heights of players in a school

Height (in cm)	Number of students
$160 - 163$	$18$
$164 - 167$	$116$
$168 - 171$	$142$
$172 - 175$	$129$
$176 - 179$	$80$
$180 - 183$	$15$

Determine the modal height.

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 10

Find the mode of the following data:-

Class interval	$0 - 9$	$10 - 19$	$20 - 29$	$30 - 39$	$40 - 49$	$50 - 59$
Frequency	$12$	$15$	$21$	$17$	$19$	$6$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 11

Some surnames were picked up from a local telephone directory and the frequency distribution of the number of letters of the English alphabets was obtained as follows:-

Number of letters	$1 - 4$	$4 - 7$	$7 - 10$	$10 - 13$	$13 - 16$	$16 - 19$
Number of surnames	$10$	$25$	$35$	$x$	$12$	$8$

If it is given that mode of the distribution is $8$ , then find the missing frequency $(x)$ .

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 12

The monthly consumption of electricity of some consumers is given below as a distribution.

Monthly consumption (in units)	Number of consumers
$90 - 120$	$20$
$120 - 150$	$15$
$150 - 180$	$x$
$180 - 210$	$75$
$210 - 240$	$50$

Find the missing frequency $(x)$ , if the mode of distribution is given to be $200$ units.

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 13

The mode of the following data is $36$ . Find the missing frequency $x$ in it.

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$
Frequency	$8$	$10$	$x$	$16$	$12$	$6$	$7$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 14

The weight of coffee in $70$ packets are shown in the following table.

Weight (in grams)	Number of packets
$200 - 201$	$12$
$201 - 202$	$26$
$202 - 203$	$20$
$203 - 204$	$9$
$204 - 205$	$2$
$205 - 206$	$1$

Determine the modal weight.

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 15

The following table shows the age distribution of cases of a certain disease admitted during a year in a particular hospital

Age (in years)	Number of cases
$0 - 10$	$5$
$10 - 20$	$8$
$20 - 30$	$7$
$30 - 40$	$12$
$40 - 50$	$28$
$50 - 60$	$20$
$60 - 70$	$10$
$70 - 80$	$10$

Find the average age for which maximum case occurred.

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 16

For the following data, find the mode.

Class	$1 - 3$	$3 - 5$	$5 - 7$	$7 - 9$	$9 - 11$
Frequency	$14$	$16$	$4$	$4$	$2$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 17

Find the mode of the given data.

Marks	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$
Frequency	$15$	$6$	$18$	$10$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 18

Find the mode of the following distributions:

Class	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$
Frequency	$3$	$15$	$24$	$8$	$5$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 19

Find the mode of the following distributions:

Class	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$
Frequency	$4$	$7$	$13$	$9$	$3$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency>Mode> Q 20

Mode value of any series is :

Mode

Mode: Overview

Important Questions on Mode

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