Measures of Dispersion — Practice Quiz
Gujarat Board · Class 11 · Statistics
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What does dispersion measure in statistics?
What is the formula for Range?
The coefficient of range is calculated as:
Quartile deviation is also known as:
Sample Questions
Which of the following are characteristics of a good measure of dispersion?
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Should be based on all observations, Should be clearly defined, Should be simple to compute
A good measure of dispersion should be clearly defined, based on all observations, simple to compute, and suitable for further calculations. It should not be unduly affected by extreme values.
If Q1 = 20 and Q3 = 40, what is the quartile deviation?
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10
Quartile deviation = (Q3 - Q1)/2 = (40 - 20)/2 = 20/2 = 10
Which measures of dispersion are positional measures?
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Range, Quartile Deviation
Range and quartile deviation are positional measures because they depend on the positions of observations when arranged in order. Mean deviation and standard deviation are based on deviations from central tendency.
Mean deviation is calculated using:
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Absolute values of deviations from mean
Mean deviation uses absolute values |xi - x̄| to overcome the problem that sum of deviations from mean equals zero. This gives the average absolute deviation from the mean.
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