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Measures of Central Tendency for Grouped Data when class Intervals are not given

In two factor...

Question

In two factories A and B, located in the same industrial area, the average weekly wages in rupees and the Standard Deviation are as follows:

Factory

Average of wages in Rs.

S.D. of wages in Rs.

A

B

34.5

28.5

6.21

4.56

Determine which factory has greater variability in individual wages?

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Solution

Table of calculation

Factory

Mean Wage

S.D

C.V=

A

34.5

6.21

B

28.5

4.56

The coefficient of variation for factory B is less than that for factory A.

Hence, factory A has greater variability in individual wages.

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Similar questions

A

B

Weekly wages (Rupees)	0 - 2000	2000 - 4000	4000 - 6000	6000 - 8000
No. of workers	15	35	50	20

Given below are the weekly wages of 200 workers in a small factory.

Calculate the maean weekly wages of the workers.

10

A

30

20

B

15

The daily wages of 40 workers of a factory are given in the following table.

Wages in Rs.	30 – 34	34 – 38	38 – 42	42 – 46	46 – 50	50 – 54
No. of workers	4	7	9	11	6	3

Calculate (i) Mean (ii) Variance and (iii) Standard Deviation of wages and also interpret the findings.

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