EASY
Earn 100

Define the Absolute Measure of Dispersion.

Important Questions on Measures of Dispersion

EASY
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?
EASY
The mean and median of the distribution 7,4,10,9,15,12,7,9,9,18 is 11 and 9.
EASY
A good measure of dispersion should not be unduly affected by sampling fluctuations.
EASY
Define the coefficient of variation and list all the merits of calculating the coefficient of variation.
EASY
A good measure of dispersion should be capable of further mathematical treatment and statistical analysis.
EASY

Find the Coefficient of mean deviation from median of observations

40,62,51,25,72,80

EASY
What are the characteristics of a good measure of dispersion?
MEDIUM

What are the requisites of a good measure of variation?

EASY
The mean of two sample sizes 50 and 100 respectively are 54.1 and 50.3. Find the mean of the sample size of 150 obtained by combining the two samples(up to one decimal).
EASY

The following statement is the demerit of coefficient of variation. 

The coefficient of variation cannot be used to find the intervals of the mean.

EASY
As the coefficient of variation approaches infinity, the value of mean approaches zero.
EASY

Calculate coefficient of mean deviation about mean for the following data:

7,4,10,9,15,12,7,9,9,18

EASY

Find the Coefficient of mean deviation from median of observations

50,62,78,42,38,26

EASY
A good measure of dispersion should be based on all the observations of the series.
HARD

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
 The coefficient of variation is independent of units.
EASY
Define the coefficient of variation and list all the demerits of calculating the coefficient of variation.
MEDIUM

Represent the union of two sets by Venn diagram for each of the following.

X={x | x is a prime number between 80 and 100}

Y={y | y is an odd number between 90 and 100}

MEDIUM

Distinguish between absolute and relative measures of variation. Give a broad classification of the measures of variations.

EASY

Find the Coefficient of mean deviation from median of observations 40,62,54,90,68,76.