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Measures Of Dispersion
Average daily wage of 50 workers of a factory was Rs. 200 with a standard deviation of Rs. 40. Each worker is given a raise of Rs. 20. What is the new average daily wage and standard deviation? Have the wages become more or less uniform?
Total increase in wages = 50 × 20 = Rs. 1000
Total of wages before increase worker in wages = 50 × 200 = Rs. 10,000
Total wages after increase in wages
Hence, mean wages will be affected but standard deviation will not be affected as the standard deviation is independent of origin. Have the wages become or less uniform? In order to calculate uniformity wages, we will have to calculate co-efficient of variation.
Afterwards
Now more uniformity in wages has taken place.
Some More Questions From Measures of Dispersion Chapter
If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected?
The sum of 10 values is 100 and the sum of their squares is 1090. Find the coefficient of variation.
Calculate the mean deviation about mean and standard deviation for the following distribution:
Classes
Frequencies
20–40
3
40–80
6
80–100
20
100–120
12
120–140
9
50
Classes
Frequencies
20–40
3
40–80
6
80–100
20
100–120
12
120–140
9
50
A measure of dispersion is a good .supplement to the central value in understanding a frequency distribution. Comment
Define dispersion.
How many methods are there to calculate dipersion?
Define range.
Define quartile deviation.
How is coefficient of quartile deviation calculated?
Define mean deviation.
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Mock Test Series
Mock Test Series