Question

The mean of monthly wage of 7 experienced and 5 inexperienced wotker $1000 if the mean monthly wage of the 5 inexperienced is $846 find the mean monthly wage of the experience workers

Answer 1

Answer:

$1110

Step-by-step explanation:

Let the monthly wage of 7 experienced workers are $x_{1}, x_{2},x_{3}..... x_{7}$ and that of 5 inexperienced workers are $y_{1},y_{2},y_{3}...... y_{5}$.

Now, the average wage of all the workers is $1000 and that of 5 inexperienced workers is $846.

So, we can write,

$\frac{(x_{1}+x_{2}+.... +x_{7})+(y_{1}+y_{2}+...... +y_{5}   )}{(7+5)} =1000$....... (1)

and, $\frac{y_{1}+y_{2}+ ...... +y_{5}}{5} =846$ ........ (2)

Now from equations (1) and (2), we can write,

$\frac{x_{1}+x_{2}+ ... +x_{7}   }{12}+\frac{5*846}{12} =1000$

⇒ $\frac{x_{1}+x_{2}+ ... +x_{7}   }{12}=1000-352.5$

⇒$\frac{x_{1}+x_{2}+ ... +x_{7}   }{12}=647.5$

⇒$\frac{x_{1}+x_{2}+ ... +x_{7}   }{7}=\frac{12*647.5}{7}$

⇒$\frac{x_{1}+x_{2}+ ... +x_{7}   }{7}=1110$

Hence, the mean monthly wage of the experienced workers is $1110. (Answer)