Measures of Dispersion Test

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Measures of Dispersion Test - 1

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Question 1
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The inter quartile range

A
Is normally used when the measure of central tendency is the mode

B
Relies on four values and therefore does not provide a measure of dispersion

C
Is representative of the middle 50% of values in the data set

D
Can be calculated by subtracting the median from the fourth quartile

Solution

Explanation:

In descriptive statistics, the interquartile range (IQR), also called the midspread or middle 50%, or technically H-spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartile. IQR = Q₃ − Q₁
Question 2
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The variance

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

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

C
Cannot be calculated on continuous data

D
Involves squaring deviation scores and then dividing them together

Solution

Explanation:

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.
Question 3
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The main disadvantage of the standard deviation is

A
It takes into account all the values in the data set

B
It is difficult to calculate by hand

C
It is a sensitive measure of dispersion

D
It is used in many other statistical techniques

Solution

Explanation:

It is very hard for a person to calculate square root and even square of deviations. Formula of standard deviation is very hard to remember.
Question 4
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Absolute measures of dispersion are

A
Expressed in terms of original unit of series

B
None

C
Both

D
Expressed in ratios or percentage, also known as coefficients of dispersion.

Solution

Explanation:

These measures give us an idea about the amount of dispersion in a set of observations. They give the answers in the same units as the units of the original observations. When the observations are in kilograms, the absolute measure is also in kilograms.
Question 5
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The average of the squared deviations from the arithmetic mean is called the

A
Variance

B
Standard deviation

C
Quartile deviation

D
Mean deviation
Question 6
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the positive square-root of the arithmetic mean of the Square of the deviations of the given observation from their arithmetic mean is called

A
Variance

B
Mean deviation

C
Standard deviation

D
Quartile deviation

Solution

Explanation:

Standard Deviation is the positive square root of the mean of squared deviations from mean. So if there are five values x1, x2, x3, x4 and x5, first their mean is calculated. Then deviations of the values from mean are calculated. These deviations are then squared. The mean of these squared deviations is the variance. Positive square root of the variance is the standard deviation.
Question 7
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Square of standard deviation is called

A
Root-Mean Square Deviation

B
Square Deviation

C
Mean Square Deviation

D
Variance

Solution

Explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma). The formula is easy: it is the square root of the Variance. So the square of σ is variance.
Question 8
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Standard deviation is also called

A
Mean Deviation

B
Mean Square Deviation

C
Root-Mean Square Deviation

D
Square Deviation

Solution

Explanation:

Standard deviation is square root of variance which is also knows as mean square deviation.
Question 9
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Half of the difference between the first and third quartiles

A
Median

B
Q1

C
Q.D

D
Q3

Solution

Explanation:

It is based on the lower quartile Q1 and the upper quartile Q3. The difference Q3−Q1 is called the inter quartile range. The difference Q3−Q1 divided by 2 is called semi-inter-quartile range or the quartile deviation.
Question 10
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Following are the Relative measures of dispersion except

A
Co-efficient of Mean deviation

B
Co-efficient of Quartile deviation

C
Co-efficient of Range

D
Standard deviation

Solution

Explanation:

It is a absolute measure of dispersion

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Re-Attempt Weekly Quiz Competition

Measures of Dispersion Test - 1

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Measures of Dispersion Test - 1

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Question 1

Is normally used when the measure of central tendency is the mode

Relies on four values and therefore does not provide a measure of dispersion

Is representative of the middle 50% of values in the data set

Can be calculated by subtracting the median from the fourth quartile

Solution

Question 2

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

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

Cannot be calculated on continuous data

Involves squaring deviation scores and then dividing them together

Solution

Question 3

It takes into account all the values in the data set

It is difficult to calculate by hand

It is a sensitive measure of dispersion

It is used in many other statistical techniques

Solution

Question 4

Expressed in terms of original unit of series

None

Both

Expressed in ratios or percentage, also known as coefficients of dispersion.

Solution

Question 5

Variance

Standard deviation

Quartile deviation

Mean deviation

Question 6

Variance

Mean deviation

Standard deviation

Quartile deviation

Solution

Question 7

Root-Mean Square Deviation

Square Deviation

Mean Square Deviation

Variance

Solution

Question 8

Mean Deviation

Mean Square Deviation

Root-Mean Square Deviation

Square Deviation

Solution

Question 9

Median

Q1

Q.D

Q3

Solution

Question 10

Co-efficient of Mean deviation

Co-efficient of Quartile deviation

Co-efficient of Range

Standard deviation

Solution

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