Examples on Measures of Dispersion
Let’s solve some questions on the Measures of Dispersion.
Examples 1: Find out the range for the following observations. {20, 42, 13, 71, 54, 93, 15, 16}
Solution:
Given,
- Largest Value of Observation = 71
- Smallest Value of Observation = 13
Thus, the range of the data set is,
Range = 71 – 13
Range = 58
Example 2: Find out the range for the following frequency distribution table for the marks scored by class 10 students.
Marks Intervals | Number of Students |
---|---|
10-20 | 8 |
20-30 | 25 |
30-40 | 9 |
Solution:
Given,
- Largest Value: Take the Higher Limit of the Highest Class = 40
- Smallest Value: Take the Lower Limit of the Lowest Class = 10
Range = 40 – 10
Range = 30
Thus, the range of the data set is 30.
Example 3: Calculate the mean deviation for the given ungrouped data {-5, -4, 0, 4, 5}
Solution:
Mean(μ) = {(-5)+(-4)+(0)+(4)+(5)}/5
μ = 0/5 = 0
M. D =
⇒ M.D =
⇒ M.D = (5+4+0+4+5)/5
⇒ M.D = 18/5
⇒ M.D = 3.6
Measures of Dispersion | Types, Formula and Examples
Measures of Dispersion are used to represent the scattering of data. These are the numbers that show the various aspects of the data spread across various parameters.
Let’s learn about the measure of dispersion in statistics , its types, formulas, and examples in detail.
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