The mean salary for a group of 40 female workers is 5200 per month and that for a group of 60 male workers is 6800 per month. What is the combined salary ?

Option a: 6160. Solution: Step 1: Apply combined mean formula. x-bar{combined} = frac{nf x-barf + nm x-barm}{nf + nm} = 40 x 5200 + 60 x 6800/40 + 60 = 208000 + 408000/100 = 616000/100 = 6160 Hence, Option A is the correct answer.

Central Tendency & DispersionMTP June 24 Series IQuestion 2931 of 473

All Questions

The mean salary for a group of $\displaystyle 40$ female workers is $\displaystyle 5200$ per month and that for a group of $\displaystyle 60$ male workers is $\displaystyle 6800$ per month. What is the combined salary ?

Options

\displaystyle 6160

\displaystyle 6280

\displaystyle 6890

\displaystyle 6920

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Correct Answer

✅ Option a — $\displaystyle 6160$

All Options:

A $\displaystyle 6160$
B $\displaystyle 6280$
C $\displaystyle 6890$
D $\displaystyle 6920$

Detailed Solution & Explanation

**Step 1: Apply combined mean formula.**

\bar{x}_{combined} = \frac{n_f \bar{x}_f + n_m \bar{x}_m}{n_f + n_m}

= \frac{40 \times 5200 + 60 \times 6800}{40 + 60} = \frac{208000 + 408000}{100} = \frac{616000}{100} = 6160

Hence, **Option A** is the correct answer.

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The mean salary for a group of 40\displaystyle 4040 female workers is 5200\displaystyle 52005200 per month and that for a group of 60\displaystyle 6060 male workers is 6800\displaystyle 68006800 per month. What is the combined salary ?