SECTION B
4. Two plants A and B of a factory
show following results about
the number of workers and
wages paid to them.
TOT
Plant
A
Plant
B
No. of
workers
5000
6000
wages
ant A SB
RS 96 Soo
s same are
Variance of the distribute
Average
monthly
wages
Rs
2500
Rs
2500
81
100
Variance of
distribution
of wages
(i) Which plant A or B pays larger
amount as monthly wages?
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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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