Measures of Dispersion
The number of employee, wages per employee and the variance of wages per employee for two factories are given below :
ltems |
Factory A |
Factory B |
No of Employees |
50 |
100 |
Average wages per employee (Rs.) |
120 |
85 |
Variance of wages per day (Rs.) |
9 |
16 |
(i) In which factory is there greater variation in the distribution of wage per employee?
(ii) Suppose in a factory B, the wages of an employee are wrongly noted as Rs. 120 instead of Rs. 100. What would be the corrected variance of factory B?
Calculation of Coefficient of variation in factory A:
Calculation of Coefficient of variation in factory B:
There is greater variance in distribution of wages in factory B.
Correcting Mean and Variance in factory B:
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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 |
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.
Define standard deviation.
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