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Question

Two offices P and Q show following results about the number of workers and the wages paid to them.

In which office is there greater variability in individual wages?


A

Both P and Q

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B

Q

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C

P

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D

Neither P nor Q

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Solution

The correct option is B

Q


The variance of the distribution of wages in office P (Ã�Æ"12) = 64

Therefore, standard deviation of the distribution of wages in office P (Ã�Æ"1) = 8

Also, the variance of the distribution of wages in office Q (Ã�Æ"22) = 81

Therefore, standard deviation of the distribution of wages in office Q (Ã�Æ"2) = 9

Since the average monthly wages in both the offices is same, i.e., Rs.8000, Therefore, the office with greater standard deviation will have more variability.

Thus, the office Q has greater variability in the individual wages.


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