Question

Find the mean daily wages of $60$ workers in a factory as per the data given below:

Daily wages ( in rupees)	$90$	$110$	$120$	$130$	$150$
Number of workers	$12$	$14$	$13$	$11$	$10$

Answer 1

Step 1: Find the value of $\sum _{}fx$.

$fx=x\times f$

Daily wages (in rupees) $\left(x\right)$	Number of workers $\left(f\right)$	$fx=x\times f$
$90$	$12$	$90\times 12=1080$
$110$	$14$	$110\times 14=1540$
$120$	$13$	$120\times 13=1560$
$130$	$11$	$130\times 11=1430$
$150$	$10$	$150\times 10=1500$
		$\sum _{}fx=7110$

Step 2: Find the mean

$Mean(\overline{x)}$$=\frac{{\displaystyle \sum _{}}fx}{N}$

where $N=$the number of workers.

$$\begin{gathered} \overline{x}=\frac{7110}{60} \\ =118.5 \end{gathered}$$

Therefore, the mean of the given data is $118.5$.