Question

Find the mean salary of 60 workers of a factory from the following table:
$$\begin{array}{cc}Salary\left(in₹\right)& Numberofworkers\\ 3000& 16\\ 4000& 12\\ 5000& 10\\ 6000& 8\\ 7000& 6\\ 8000& 4\\ 9000& 3\\ 10000& 1\\ Total& 60\end{array}$$

• A. ₹ 5099.25
• B. ₹ 4873.51
• C. ₹ 5083.33
• D. ₹ 4902.5

Answer 1

The correct option is C

₹ 5083.33

We know that
$Mean=\frac{\sum f_1{x}_1}{\sum f_1}$
The value of $\sum f_1{x}_{1}and\sum f_1$ can be calculated as follows
$$\begin{array}{ccc}Salary\left(in₹\right)\left(x_1\right)& Numberofworkers\left(f_1\right)& f_1{x}_1\\ 3000& 16& 3000\times 16=48000\\ 4000& 12& 4000\times 12=48000\\ 5000& 10& 5000\times 10=50000\\ 6000& 8& 6000\times 8=48000\\ 7000& 6& 7000\times 6=42000\\ 8000& 4& 8000\times 4=32000\\ 9000& 3& 9000\times 3=27000\\ 10000& 1& 10000\times 1=10000\\ Total& \sum f_1=60& \sum f_1{x}_1=305000\end{array}$$
$Meansalary=\frac{305000}{60}$
Therefore, mean salary of 60 workers is ₹ 5083.33