Mean Deviation

IMPORTANT

Mean Deviation: Overview

This topic covers the concept of mean deviation.

Important Questions on Mean Deviation

MEDIUM
IMPORTANT

Find the mean deviation from the median for the following data:

Age (years) 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60
No. of workers fi 120 125 175 160 150 140 100 30

HARD
IMPORTANT

Find the mean deviation about the median for the following data:

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

MEDIUM
IMPORTANT

Find the mean deviation about the median for the following data:

xi 3 4 5 6 7
fi 2 4 6 8 5

HARD
IMPORTANT

Find the mean deviation from mean of the following distribution:

Weight(in gms) 10-15 15-20 20-25 25-30 30-35 35-40 40-45
No. of items 7 12 16 25 19 15 6

 

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?

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

 

MEDIUM
IMPORTANT

The mean deviation from the mean of the series (a), (a+d), (a+2d),,(a+2nd) is

EASY
IMPORTANT

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 is:

MEDIUM
IMPORTANT

The mean deviation of the data 3, 5, 6, 7, 8, 10, 11, 14 is _________ .

EASY
IMPORTANT

Consider any set of 201 observations x1,x2, x200,x201. It is given that x1<x2<<x200<x201. Then, the mean deviation from median of this set of observations about a point k is minimum when k equals

MEDIUM
IMPORTANT

Consider any set of observationsx1, x2, ..., x101, it is given that x1 < x2 < x3 < ... < x100 < x101, then the mean deviation of this set of observations about a pointk is minimum whenk is equal to

MEDIUM
IMPORTANT

The algebraic sum of the deviations of 20 observations measured from 30 is 2. The mean of observations is,

MEDIUM
IMPORTANT

The mean deviation about median from the following data 340,150,210,240,300,310,320 is

EASY
IMPORTANT

Covariance x, y between x and y if x=15, y=40, xy=110, n=5, is

HARD
IMPORTANT

Consider any set of 201 observations x1, x2,..., x200, x201. It is given that x1 < x2 <...< x200 < x201. Then, the mean deviation of this set of observations about a point k is minimum when k equals

MEDIUM
IMPORTANT

The batsman scores runs in 10 innings 38,70,48,34,42,55,46,63,54 and 44, then the mean deviation from median is

HARD
IMPORTANT

The arithmetic mean of n observations is M. If the sum of n-4 observations is a , then the mean of remaining four observations is

HARD
IMPORTANT

In a class of 100 students, the average amount of pocket money is Rs 35 per student. If the average is Rs 25 for girls and Rs 50 for boys, then the number of girls in the class is

MEDIUM
IMPORTANT

The mean of n observations is x ¯ . If one observation x n + 1 is added, then the mean remains same. The value of x n + 1 is