Mean Deviation

IMPORTANT

Mean Deviation: Overview

This topic covers the concept of mean deviation. We will learn to find the mean of the given information through examples. Learning these concepts enhances our aptitude skills.

Important Questions on Mean Deviation

EASY

IMPORTANT

Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 1

Which one of the following statements is correct regarding the mean deviation for the ungrouped data given below?

$5, 2, 7, 11, 3, 2$

The below table obtained while calculating the value of the mean deviation:

$x_{i}$	$x_{i} - μ$	$\|x_{i} - μ\|$
$5$	$0$	$0$
$2$	$-3$	$3$
$7$	$2$	$2$
$11$	$6$	$6$
$3$	$-2$	$2$
$2$	$-3$	$3$

Where,

$μ$ , is mean of the ungrouped data

The obtained value of mean deviation is $2.7$ .

The obtained value of the mean is $5$ .

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 2

Which one of the following statements is correct regarding the mean deviation for the ungrouped data given below?

$4, 5, 8, 10, 7, 12, 15, 3$

The below table obtained while calculating the value of the mean deviation:

$x_{i}$	$x_{i} - μ$	$\|x_{i} - μ\|$
$4$	$-4$	$4$
$5$	$-3$	$3$
$8$	$0$	$0$
$10$	$2$	$2$
$7$	$-1$	$1$
$12$	$4$	$4$
$15$	$7$	$7$
$3$	$- 4$	$5$

Where,

$μ$ , is mean of the ungrouped data

The obtained value of mean deviation is $4.57$ .

The obtained value of the mean is $8$ .

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 3

Which one of the following statements is correct regarding the mean deviation for the ungrouped data given below?

$19, 10, 31, 20, 25, 18, 17$

The below table obtained while calculating the value of the mean deviation:

$x_{i}$	$x_{i} - μ$	$\|x_{i} - μ\|$
$19$	$-1$	$1$
$10$	$-10$	$10$
$31$	$11$	$11$
$20$	$0$	$0$
$25$	$5$	$5$
$18$	$- 2$	$2$
$17$	$- 3$	$3$

Where,

$μ$ , is mean of the ungrouped data

The required value of mean deviation is $4.57$ .

The required value of the mean is $20$ .

MEDIUM

IMPORTANT

Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 4

Which one of the following statements is correct regarding the mean deviation for the ungrouped data given below?

$2, 3, 5, 7, 11, 13$

The below table obtained while calculating the value of the mean deviation:

$x_{i}$	$x_{i} - μ$	$\|x_{i} - μ\|$
$2$	$-4.83$	$4.83$
$3$	$-3.83$	$3.83$
$5$	$-1.83$	$1.83$
$7$	$0.17$	$0.17$
$11$	$4.17$	$4.17$
$13$	$6.17$	$6.17$
		$\sum_{i = 1}^{N} \|x_{i} - μ\| = 21$

Where,

$μ$ , is mean of the ungrouped data

The required value of mean deviation is $3.5$ .

The required value of the mean is $6.83$ .

MEDIUM

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 5

Which one of the following statements is correct regarding the mean deviation for the ungrouped data given below?

$20, 22, 24, 26, 28, 30$

The below table obtained while calculating the value of the mean deviation:

$x_{i}$	$x_{i} - μ$	$\|x_{i} - μ\|$
$20$	$-5$	$5$
$22$	$-3$	$3$
$24$	$-1$	$1$
$26$	$1$	$1$
$28$	$3$	$3$
$30$	$5$	$5$
		$\sum_{i = 1}^{N} \|x_{i} - μ\| = 18$

Where,

$μ$ , is the mean value of the ungrouped data

The value of mean for the given data is $25$ .

The value of absolute mean deviation is $3$ .

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 6

Determine the mean deviation for the data values $10, 12, 14, 15, 16, 18$ and $20$ .

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 7

Find the Mean Deviation for Discrete Frequency Distribution:

The below table shows the time spent by $30$ females on Instagram in a day:

Time (in $hours$ )	$1$	$2$	$4$	$6$	$8$
Number of Students	$5$	$7$	$8$	$6$	$4$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 8

Find the Mean Deviation for Discrete Frequency Distribution:

The below table shows the time spent by all $11$ cricket players in net practice:

Time in $(hours)$	$2$	$3$	$4$	$5$	$6$
Number of players	$5$	$1$	$2$	$2$	$1$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 9

Find the Mean Deviation for Discrete Frequency Distribution:

The below table shows the time spent by $60$ students on social media platforms in a day:

Time (in $hours$ )	$1$	$2$	$4$	$6$	$8$
Number of Students	$10$	$15$	$15$	$12$	$8$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 10

Find the Mean Deviation for Discrete Frequency Distribution of the data shown in the below table:

The below table shows the data for $50$ students for their study hours in a day:

Study time (in $hours$ )	$4$	$6$	$8$	$10$	$12$
Number of Students	$30$	$10$	$5$	$3$	$2$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 11

Find the Mean Deviation for Discrete Frequency Distribution:

The below table shows the time of sleep (in $hours$ ) by $55$ persons:

Time (in $hours$ )	$5$	$6$	$7$	$8$	$9$
Number of persons	$20$	$10$	$15$	$6$	$4$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 12

Find the Mean Deviation for Discrete Frequency Distribution of the data shown in the below table:

$x_{i}$	$10$	$11$	$12$	$13$	$14$
$f_{i}$	$9$	$8$	$7$	$6$	$5$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 13

What will be the mean deviation $a^{2} - b^{2}, a^{2} + b^{2}$ where $a, b > 0$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 14

What will be the mean deviation of the data $\frac{a + b}{2}, \frac{a - b}{2}$ (Where $a, b > 0$ )

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 15

Who were the members of the Sri Krishna committee, which was formed to investigate the question of Telangana's separate statehood?

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 16

What will be the mean deviation of first $4$ prime numbers through mean?

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 17

What will be the mean deviation about median for the following data?

$18, 15, 20, 21, 23, 24$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 18

Find the mean deviation about median of the data

$11, 13, 9, 8, 15, 19, 20, 27, 23$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 19

Find the mean deviation from mode for the data

$9, 9, 8, 7, 5, 4, 8, 9, 10, 10$

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Quantitative Aptitude>Measures of Central Tendency>Mean Deviation> Q 20

What will be the mean deviation from mode for the data.

$2, 4, 4, 6, 8, 10, 4, 4, 6, 10$

Mean Deviation

Mean Deviation: Overview

Important Questions on Mean Deviation

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