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Measures of Dispersion - Free MCQ Practice Test with solutions, SSC CGL


MCQ Practice Test & Solutions: Test: Measures of Dispersion (15 Questions)

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Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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Test: Measures of Dispersion - Question 1

Which of these is simply the difference between the maximum and minimum values given in a data set?

Detailed Solution: Question 1

The difference between the maximum and minimum values in a dataset is known as the "Range." It provides a simple measure of dispersion by capturing the spread between the extreme values.

Test: Measures of Dispersion - Question 2

In absolute Measure Of Dispersion, the Square root of variation is known as ________

Detailed Solution: Question 2

In absolute measure of dispersion, the square root of variation is known as the "Standard Deviation." It is a commonly used measure to quantify the spread or dispersion of data.

Test: Measures of Dispersion - Question 3

Which Measures of Dispersion are used to compare the distribution of two or more data sets?

Detailed Solution: Question 3

Relative measures of dispersion are used to compare the distribution of two or more data sets. These measures express the degree of dispersion relative to the data's central tendency, making it easier to compare datasets with different scales or units.

Test: Measures of Dispersion - Question 4

What is the Arithmetic average of the Absolute Deviation of a series called?

Detailed Solution: Question 4

The arithmetic average of the absolute deviations from the mean in a series is known as the "Mean Deviation." It provides information about the average dispersion of data points from the mean.

Test: Measures of Dispersion - Question 5

A study in Statistics that helps to interpret the variability of data is known as _________

Detailed Solution: Question 5

The measure in statistics that helps interpret the variability of data is known as a "measure of dispersion." It quantifies how spread out or dispersed the data points are within a dataset, providing insights into the degree of variability.

Test: Measures of Dispersion - Question 6

Are the variations present in the unit of a variable represented by which dispersion method?

Detailed Solution: Question 6

Variations present in the unit of a variable are represented by the "Absolute Measure of Dispersion," which includes measures like the range and mean deviation.

Test: Measures of Dispersion - Question 7

In Statistics of dispersion, the Measure of dispersion can never be __________

Detailed Solution: Question 7

In statistics of dispersion, the measure of dispersion can never be negative. Dispersion measures quantify the spread or variability of data, and negative values do not make sense in this context.

Test: Measures of Dispersion - Question 8

On which change the variance of a data set is independent?

Detailed Solution: Question 8

The variance of a data set is independent of changes in origin (translation) only. If you add or subtract a constant from every data point, the variance remains the same.

Test: Measures of Dispersion - Question 9

Name the graphical method which helps us investigate the dispersion?

Detailed Solution: Question 9

The graphical method that helps investigate the dispersion is the "Lorenz Curve method." It is often used to visualize income or wealth distribution.

Test: Measures of Dispersion - Question 10

In the dispersion study, the relative measure of dispersion is expressed by using.

Detailed Solution: Question 10

In the dispersion study, the relative measure of dispersion is expressed using percentages. This makes it easier to compare different datasets with varying scales or units.

Test: Measures of Dispersion - Question 11

Find the value of the third quartile when the first quartile is 104 and the quartile deviation is 8.

Detailed Solution: Question 11

The third quartile can be found by adding the quartile deviation (8) to the first quartile (104): 104 + 8 = 112.

Test: Measures of Dispersion - Question 12

Which is the quickest measure of dispersion to compute?

Detailed Solution: Question 12

The quickest measure of dispersion to compute is the "Range" because it only requires finding the difference between the maximum and minimum values.

Test: Measures of Dispersion - Question 13

The central fifty per cent of the observations in a data set are only based on the_________ Measure of dispersion.

Detailed Solution: Question 13

The central fifty per cent of observations in a data set are based on the "Quartile Deviation." It represents the spread of data within the interquartile range.

Test: Measures of Dispersion - Question 14

Find the measure of dispersion that can attain a negative value?

Detailed Solution: Question 14

The measure of dispersion that can attain a negative value is the "Range." When the minimum value is larger than the maximum value in a dataset, the range becomes negative.

Test: Measures of Dispersion - Question 15

In the Absolute Measure of dispersion, the Standard Deviation is always________

Detailed Solution: Question 15

In the Absolute Measure of dispersion, the Standard Deviation is always positive. It represents the square root of the variance and quantifies the spread of data.

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