Two plants A and B of a factory show the following results about the n

1.	Two plants A and B of a factory show the following results about the number of workers and the wages paid to themPlant APlant BNo. of workers50006000Average monthly wages₹2500₹2500The variance of distribution of wages81100In which plant A or B 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 more variability in salary. ∴ Plant B has more variability in individual wages than plant A

Two plants A and B of a factory show the following results about the number of workers and the wages paid to themPlant APlant BNo. of workers50006000Average monthly wages₹2500₹2500The variance of distribution of wages81100In which plant A or B 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 more variability in salary.

∴ Plant B has more variability in individual wages than plant A

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Two plants A and B of a factory show the following results about the number of workers and the wages paid to themPlant APlant BNo. of workers50006000Average monthly wages₹2500₹2500The variance of distribution of wages81100In which plant A or B is there greater variability in individual wages?

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