Measures of Dispersion Test

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Measures of Dispersion Test - 1

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Question 1
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What would happen to the variance of a data set if we added 5 to every observation?

A
Variance increased by 5

B
Variance decrease by 5

C
No Change

D
Variance decrease by 10

Solution

variance is unaffected due to change of origin.
Question 2
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Which information is false regarding Lorenz curve

A
The Lorenz curve devised by Dr. Max O. Lorenz is a graphic method of studying dispersion.

B
The Lorenz curve always lies below the line of equal distribution, unless the distribution is uniform

C
Used this technique to show employment of a group of people

D
The Area between the line of equal distribution and the plotted curve gives the extent of inequality in the items. The larger the area, more is the inequality

Solution

The Lorenz curve, developed by Max O Lorenz in 1905, is a graphical representation of the distribution of the income or of wealth. It is used to represent inquality of the wealth distribution.
Question 3
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Lorenz Curve : Used this technique to show

A
employment of a group of people

B
unemployment of a group of people

C
equality of wealth and income of a group of people

D
inequality of wealth and income of a group of people

Solution

The Lorenz curve is a graphical representation of the distribution of income or of wealth. It was developed by Max O Lorenz in 1905 for representing inequality of the wealth distribution.
Question 4
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The numerical value of the standard deviation can never be

A
Zero

B
Larger than the variance

C
Negative

D
None

Solution

As it is calculated from sum of squared deviations which can never be negative.
Question 5
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A good dispersion should have following characteristics except

A
It should be based on extreme values

B
It should be simple to understand

C
It should be rigidly defined

D
It should lend itself for algebraic manipulation

Solution

It should be based on all the items so as to be more representative of whole series
Question 6
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While drawing Lorenz curve zero of X-axis and 100 on Y-axis are joined by a line. This line is known as

A
Line of equal distributions

B
Line of unemployment

C
Line of cumulative percentage of total national income

D
None

Solution

A perfectly equal income distribution would be one in which every person has the same income. In this case, the bottom N% of society would always have N% of the income. This can be depicted by the straight line y = x; called the "line of perfect equality."
Question 7
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The variance

A
Involves squaring deviation scores and then dividing them together

B
Should be adjusted when we want to generalize from a sample to a population

C
Cannot be calculated on continuous data

D
Produces small values in square units due to taking the square root of deviations

Solution

Since variance is a relative measures which is free from the units in which the values have been expressed, they can be compared even across different groups having different units of measurement.

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Measures of Dispersion Test - 1

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Question 1

Variance increased by 5

Variance decrease by 5

No Change

Variance decrease by 10

Solution

Question 2

The Lorenz curve devised by Dr. Max O. Lorenz is a graphic method of studying dispersion.

The Lorenz curve always lies below the line of equal distribution, unless the distribution is uniform

Used this technique to show employment of a group of people

The Area between the line of equal distribution and the plotted curve gives the extent of inequality in the items. The larger the area, more is the inequality

Solution

Question 3

employment of a group of people

unemployment of a group of people

equality of wealth and income of a group of people

inequality of wealth and income of a group of people

Solution

Question 4

Zero

Larger than the variance

Negative

None

Solution

Question 5

It should be based on extreme values

It should be simple to understand

It should be rigidly defined

It should lend itself for algebraic manipulation

Solution

Question 6

Line of equal distributions

Line of unemployment

Line of cumulative percentage of total national income

None

Solution

Question 7

Involves squaring deviation scores and then dividing them together

Should be adjusted when we want to generalize from a sample to a population

Cannot be calculated on continuous data

Produces small values in square units due to taking the square root of deviations

Solution

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