Question

Find the mean salary of $60$ workers of a factory from the following table:

$\begin{array}{cc}\text{Salary in Rs.}& \text{Number of workers}\\ 3000& 16\\ 4000& 12\\ 5000& 10\\ 6000& 8\\ 7000& 6\\ 8000& 4\\ 9000& 3\\ 10,000& 1\end{array}$

Answer 1

$\begin{array}{ccc}\text{Salary in Rs.}\left(f_i\right)& \text{Number of workers}\left(x_i\right)& f_i{x}_i\\ 3000& 16& 16\times 3000=48000\\ 4000& 12& 12\times 4000=48000\\ 5000& 10& 10\times 5000=50000\\ 6000& 8& 8\times 6000=48000\\ 7000& 6& 6\times 7000=42000\\ 8000& 4& 4\times 8000=32000\\ 9000& 3& 3\times 9000=27000\\ 10,000& 1& 1\times 10000=10000\\ & \sum x_i=60& \sum f_i{x}_i=305000\end{array}$

Mean $=\frac{\sum f_i{x}_i}{\sum x_i}$

$=\frac{305000}{60}$

$=Rs.5083.3$

Therefore, mean salary of the factory workers is $Rs.5083.3$.