Mean Deviation

IMPORTANT

Mean Deviation: Overview

This topic covers concepts, such as, Mean Deviation, Mean Deviation for Ungrouped Distribution (An Individual Series), Absolute Deviation & Use of Sigma in Mean Deviation etc.

Important Questions on Mean Deviation

MEDIUM
IMPORTANT

What will be the probable value of mean deviation when Q3=40 and Q1=15?

EASY
IMPORTANT

Sum of the squares of deviations is minimum when deviations are taken from

EASY
IMPORTANT

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

HARD
IMPORTANT

If the weekly wages of 5000 workers in a factory follows normal distribution with mean and SD as  700 and  50 respectively, what is the expected number of workers with wages between  660 and  720?

HARD
IMPORTANT

The average weekly food expenditure of a group of families has a normal distribution with mean  1,800 and standard deviation  300. What is the probability that out of 5 families belonging to this group, at least one family has weekly food expenditure in excess of  2,100 ? Given ϕ(1)=0.84.

EASY
IMPORTANT

"Mean has the least sampling variability" prove the mathematical property of mean

EASY
IMPORTANT

The correction factor is applied in

EASY
IMPORTANT

For the observations 6, 4, 1, 6, 5, 10, 4, 8 Range is

EASY
IMPORTANT

Coefficient of variation $=($ Standard Deviation ×100) / Mean

EASY
IMPORTANT

For finding A.M in Step-deviation method, the class intervals should be of

EASY
IMPORTANT

Relative measures of dispersion make deviations in similar units comparable.

EASY
IMPORTANT

Coefficient of Mean Deviation is

EASY
IMPORTANT

Two coins are tossed simultaneously. What is the probability that the second coin would show a tail given that the first coin has shown a head?

EASY
IMPORTANT

For a moderately non-symmetrical distribution, Mean deviation =45 of standard deviation

EASY
IMPORTANT

When 1st  quartile =20,3rd  quartile =30, the value of quartile deviation is

EASY
IMPORTANT

For purposes of comparison between two or more series with varying size or no. of items, varying central values or units of calculation, only ______ measures can be used.

HARD
IMPORTANT

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

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

 

HARD
IMPORTANT

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

21, 23, 25, 28, 30, 32, 46, 38, 48, 46

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

xi xi-μ xi-μ
21 -12.7 12.7
23 -10.7 10.7
25 -8.7 8.7
28 -5.7 5.7
30 -3.7 3.7
32 -1.7

1.7

46 12.3 12.3
38 4.3 4.3
48 14.3 14.3
46 12.3 12.3
    i=1Nxi-μ=86.4

Where, 

μ, is mean of the ungrouped data

The required value of mean deviation is 2.57.

The required value of the mean is 7.

EASY
IMPORTANT

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:

xi xi-μ xi-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.