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Question: Answered & Verified by Expert
An analysis of monthly wages paid to the workers of two jute mills $A$ and $B$ gives the following data:
\begin{array}{lll}
No. of workers & Mill-A & Mill-B \\
Average daily wage (in rupees) & 500 & 600 \\
Variance of distribution of wages & 186 & 175 \\
81 & 100
\end{array}
Then
MathematicsStatisticsAP EAMCETAP EAMCET 2023 (17 May Shift 2)
Options:
  • A wage bill of mill $\mathrm{A}$ is twice that of mill $\mathrm{B}$
  • B mills $\mathrm{A}$ and $\mathrm{B}$ both have same wage bills.
  • C wage bill of mill $\mathrm{A}$ is greater than that of mill $\mathrm{B}$
  • D wage bill of mill B is greater than that of mill A
Solution:
2517 Upvotes Verified Answer
The correct answer is: wage bill of mill B is greater than that of mill A
Average wage bill of mill A
$\begin{aligned} & =\text { No. of workers } \times \text { Average daily wage }=500 \times 186 \\ & =92500\end{aligned}$
Average wage bill of mill B
$\begin{aligned} & =\text { No. of workers } \times \text { Average daily wage }=600 \times 175 \\ & =105000 \\ & \therefore \text { Wage bill of mill } B \text { is greater than that of mill } A .\end{aligned}$

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