Mean Deviation

Author:Madhya Pradesh Board

11th Madhya Pradesh Board

IMPORTANT

Mean Deviation: Overview

In this topic, we will study mean deviation and its formula with the help of an example. We will also study the mean deviation of grouped and ungrouped data and mean deviation about mean and median with examples.

Important Questions on Mean Deviation

MEDIUM

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 1

The mean and variance of eight observations are $9$ and $9.25$ , respectively. If six of the observations are $6, 7, 10, 12, 12$ and $13$ , find the remaining two observations.

HARD

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 2

Calculate the mean deviation about median age for the age distribution of $100$ persons given below:

Age (in years)	$16 - 20$	$21 - 25$	$26 - 30$	$31 - 35$	$36 - 40$	$41 - 45$	$46 - 50$	$51 - 55$
Number	$5$	$6$	$12$	$14$	$26$	$12$	$16$	$9$

HARD

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 3

Find the mean deviation about median for the following data:

Marks	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of Girls	$6$	$8$	$14$	$16$	$4$	$2$

HARD

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 4

Find the mean deviation about the mean for the data

Height in cms	Number of Boys
$95 - 105$	$9$
$105 - 115$	$13$
$115 - 125$	$26$
$125 - 135$	$30$
$135 - 145$	$12$
$145 - 155$	$10$

HARD

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 5

Find the mean deviation about the mean for the data.

Income per day	Number of persons
$0 - 100$	$4$
$100 - 200$	$8$
$200 - 300$	$9$
$300 - 400$	$10$
$400 - 500$	$7$
$500 - 600$	$5$
$600 - 700$	$4$
$700 - 800$	$3$

MEDIUM

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 6

Find the mean deviation about the median for the data

$x_{i}$	$15$	$21$	$27$	$30$	$35$
$f_{i}$	$3$	$5$	$6$	$7$	$8$

MEDIUM

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 7

Find the mean deviation about the median for the data

$x_{i}$	$5$	$7$	$9$	$10$	$12$	$15$
$f_{i}$	$8$	$6$	$2$	$2$	$2$	$6$

MEDIUM

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 8

Find the mean deviation about the mean for the data

$x_{i}$	$10$	$30$	$50$	$70$	$90$
$f_{i}$	$4$	$24$	$28$	$16$	$8$

EASY

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 9

Find the mean deviation about the mean for the data.

$x_{i}$	$5$	$10$	$15$	$20$	$25$
$f_{i}$	$7$	$4$	$6$	$3$	$5$

EASY

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 10

Find the mean deviation about the median for the data.

$36, 72, 46, 42, 60, 45, 53, 46, 51, 49$

EASY

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 11

Find the mean deviation about the median for the data.

$13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17$

EASY

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 12

Find the mean deviation about the mean for the data. Write the answer upto 1 decimal place.
$38, 70, 48, 40, 42, 55, 63, 46, 54, 44$ .

EASY

IMPORTANT

MATHEMATICS Textbook for Class XI>Statistics>Mean Deviation> Q 13

Find the mean deviation about the mean for the data.
$4, 7, 8, 9, 10, 12, 13, 17$

Mean Deviation

Mean Deviation: Overview

Important Questions on Mean Deviation

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