EASY
Earn 100

 The coefficient of variation is independent of units.

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Important Questions on Measures of Dispersion

MEDIUM
The means of two groups of observations A and B are x, y respectively and their standard deviations are respectively 2 and 3. In order that the group A is to be more consistent than the group B, yx<
EASY
The mean of a distribution is 14 and the standard deviation is 5. What is the value of the coefficient of variation?
EASY
The coefficient of variation (C.V.) and the mean of a distribution are respectively 75 and 44. Then the standard deviation of the distribution is
MEDIUM
If the numbers are 5,1,8,7,2, then the coefficient of variation is
MEDIUM
Coefficient of variation of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. Then their AM's are
MEDIUM
Coefficient of variation of two distributions are 60 and 70, and their standard deviation are 21 and 16, respectively. What are their arithmetic means?
EASY
For a given distribution the arithmetic mean is 15 and the standard deviation is 9 then the coefficient of variation is equal to
MEDIUM

The marks obtained by students A and B in 3 examinations are given below

Marks of A 30 20 40
Marks of B 70 0 5

The ratio of the coefficient of variation of marks of A and the coefficient of variation of marks of B is

MEDIUM
Coefficient of variation of two distributions are 50 and 60 and their arithmetic means are 30 and 25, respectively. Difference of their standard deviation is
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

50,62,78,42,38,26

EASY
A good measure of dispersion should not be unduly affected by sampling fluctuations.
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 40,62,54,90,68,76.

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

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

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

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
Define the coefficient of variation and list all the demerits of calculating the coefficient of variation.