Mathematics>Data Interpretation>Measures of Central Tendency and Dispersion>Mode

Mode

IMPORTANT

Mode: Overview

This topic covers concepts, such as, Mode, Modal Class in Grouped Data & Mode of Grouped Data etc.

Important Questions on Mode

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 1

The histogram shows the lengths of $26$ black rats.

Question Image

The modal class is

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 2

Find the mode of the following data :

Marks	No. of students
$40 - 50$	$4$
$50 - 60$	$7$
$60 - 70$	$4$
$70 - 80$	$9$
$80 - 90$	$4$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 3

Find the mode of the following data :

MARKS	No. of students
$11 - 19$	$6$
$20 - 30$	$7$
$31 - 39$	$8$
$40 - 50$	$6$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 4

Find the mode of the following data :

Weight	No. of students
$51 - 59$	$4$
$60 - 70$	$7$
$71 - 79$	$5$
$80 - 90$	$9$
$91 - 99$	$4$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 5

Find the mode of the following data :

Family size	No. of families
$1 - 3$	$7$
$3 - 5$	$8$
$5 - 7$	$2$
$7 - 9$	$2$
$9 - 11$	$1$
$11 - 13$	$5$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 6

Find the mode of the following data :

Age (in years)	No. of patient
$5 - 15$	$6$
$15 - 25$	$11$
$25 - 35$	$21$
$35 - 45$	$23$
$45 - 55$	$14$
$55 - 65$	$5$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 7

What will be the modal class for the data?

$\begin{matrix} S i z e & 6 - 10 & 11 - 15 & 16 - 20 & 21 - 25 & 26 - 30 \\ F r e q u e n c y & 42 & 84 & 55 & 90 & 88 \end{matrix}$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 8

Determine the mode for the following data with calss interval of heigh $h = 10$

$\begin{matrix} M a r k s & N o . o f s t u d e n t s \\ L e s s t h a n 40 & 5 \\ L e s s t h a n 50 & 12 \\ L e s s t h a n 60 & 29 \\ L e s s t h a n 70 & 45 \\ L e s s t h a n 80 & 48 \end{matrix}$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 9

If $m e a n = 8.6, m e d i a n = 8$ then mode is

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 10

Determine the model class for the following ditribution table.

$\begin{matrix} C l a s s i n t e r v a l & 19 - 28 & 29 - 38 & 39 - 48 & 49 - 58 & 59 - 68 \\ N o . o f c h i l d r e n & 10 & 7 & 15 & 17 & 6 \end{matrix}$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 11

Calculate the mode from the following data.

$\begin{matrix} w a g e & 20 & 50 & 60 & 75 & 85 & 98 \\ N o . o f l a b o u r s & 4 & 8 & 2 & 3 & 5 & 4 \end{matrix}$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 12

We have given tht there are $3$ numbers that is $30, \frac{80}{3}, 20$

So, for a positive skewed distribution find out mode from the data.

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 13

If we have given $M e a n = 2.5, m e d i a n = 2.2$ then the mode will be.

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 14

What can be the range of median, if mean and mode are $21.5 a n d 12.5$

MEDIUM

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 15

The ages of people visiting the Eiffel Tower are recorded in the table.

Age, $x$ (years)	Frequency
$0 < x \leq 15$	$15$
$15 < x \leq 25$	$28$
$25 \leq x < 40$	$30$
$40 \leq x < 60$	$42$
$60 \leq x < 100$	$20$

The modal class for this data is

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 16

The histogram shows the lengths of $26$ black rats.

Question Image

The modal class is

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 17

The modal score of the following distribution is _____.

$x$	$20$	$25$	$30$	$35$	$40$	$45$	$50$
$y$	$7$	$20$	$40$	$29$	$50$	$12$	$3$

HARD

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 18

Find the mode of the given data:

$5, 7, 9, 3, 7, 3, 7, 5, 7 .$

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 19

If $(1 - 100), (101 - 200), (200 - 300), (301 - 400), (401 - 500)$ and $(501 - 600)$ are class intervals of frequency distribution, then the true class width is:

EASY

IMPORTANT

Mathematics>Measures of Central Tendency and Dispersion>Mode> Q 20

The mode of the data $25, 25, 26, 27, 30, 26, 25, 34$ is