Question -
| Plant A | Plant B |
| No. of workers | 5000 | 6000 |
| Average monthly wages | ₹2500 | ₹2500 |
| The variance of distribution of wages | 81 | 100 |
In which plant A orB is there greater variability in individual wages?
Answer -
Variation of the distribution of wages in plant A (σ2 =18)
So, Standard deviation of the distribution A (σ – 9)
Similarly, the Variation of the distribution of wages in plant B (σ2 =100)
So, Standard deviation of the distribution B (σ – 10)
And, Average monthly wages in both the plants is 2500,
Since, the plant with a greater value of SD will have morevariability in salary.
∴ PlantB has more variability in individual wages than plant A