Question

Question 5
Find the mean salary of 60 workers of a factory from the following table:
$\begin{array}{cc}\text{Salary (in Rs)}& \text{Number of workers}\\ 3000& 16\\ 4000& 12\\ 5000& 10\\ 6000& 8\\ 7000& 6\\ 8000& 4\\ 9000& 3\\ 10000& 1\\ \text{Total}& 60\end{array}$

Answer 1

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