Mean Deviation

IMPORTANT

Mean Deviation: Overview

This topic covers concepts such as Mean Deviation, Mean Deviation for Ungrouped Distribution (An Individual Series), Mean Deviation for Ungrouped Frequency Distribution : Discrete Frequency Distribution, Mean Deviation of Continuous Data, etc.

Important Questions on Mean Deviation

MEDIUM
IMPORTANT

Find the mean deviation(in decimal) about the mean for the following data:

6,8, 4, 13, 9, 5, 16, 19.

EASY
IMPORTANT

mean deviation from the mean for the data

4, 7, 8, 9, 10, 12, 13, 17 is _____

HARD
IMPORTANT

Calculate the mean deviation about mean from the following data, relating to height (to the nearest cm) of 100 children.

Heights(cm) 60 61 62 63 64 65 66 67 68
No. of children 2 0 15 29 25 12 10 4 3

EASY
IMPORTANT

Find the sum of the absolute value of all the deviation for the first four multiples of 2.

EASY
IMPORTANT

Find the mean deviation about the mean of first 16 natural numbers.

EASY
IMPORTANT

Find the mean deviation about the median of first 5 prime numbers.

EASY
IMPORTANT

The following table represents marks obtain by the students of a class. Find the mean deviation about the mean.

Number of students 4 2 3 3
Marks 16 13 14 4

 

EASY
IMPORTANT

Find the Mean deviation of the following data:

8, 5, 87, 5, 10, 4, 8

EASY
IMPORTANT

What will be the mean deviation of a set of observation containing squares of first 7 natural numbers?

EASY
IMPORTANT

The mean and mean deviation of a set of 8 observations is 19 and 6.25 respectively. It was later found out that one of the observations was wrongly read as 32 instead of 40. What is the difference between the correct mean deviation and incorrect mean deviation?

EASY
IMPORTANT

Marks of a student in 4 differents subject are 20,22,25 and 24. Find the mean deviation.

EASY
IMPORTANT

Find the mean deviation of the set of data 4,3,2,5,1.

EASY
IMPORTANT

The number of pages typed by a person from January to May are 500,400,600,550 and 450. Find mean deviation.

MEDIUM
IMPORTANT

There are 9 terms in a sequence which is in descending order. Its mean value is 90. If we add 50 to each term and then each term is divided by 3, we get a new mean M. What is the difference between M and the original mean?

MEDIUM
IMPORTANT

At the end of the year, Mahesh analysed his last five-month salary figures. He found the mean and median salary figures as Rs. 6 lacs and the only mode salary figure as Rs. 8 lacs. If all his salaries are in lacs then what is the sum of the highest and the lowest salary earned by him?

MEDIUM
IMPORTANT

If the mean of the first 7 positive integral multiples of 13 is denoted by p and the median of the same numbers is denoted by q, then what is the value of p-q?

MEDIUM
IMPORTANT

There are 11 students in a class. Their marks are as follows in an exam- 34, 57, 89, 65, 80, 54, 24, 76, 83, 44, 93. What is the co-efficient of mean deviation if it is taken from the median?

EASY
IMPORTANT

Mean deviation about the median for the following data:

4,6,9,3,10,13,2

HARD
IMPORTANT

The mean deviation from the median for the following distribution (corrected to two decimals) is

xi 6 9 3 12 15 13 21 22
fi 4 5 3 2 5 4 4 3

EASY
IMPORTANT

The mean deviation about the mean for the following data is: 

xi 2 4 5 7 9
fi 2 4 10 8 6