CMA Foundation · Fundamentals of Business Mathematics and Statistics · Measures of Central Tendency and Dispersion
In a Pune factory, 40 skilled workers earn an average daily wage of ₹600 and 60 semi-skilled workers earn an average of ₹450. What is the combined average daily wage of all 100 workers?
The combined average wage is ₹510. Multiply each group's mean by its size to get total wages of ₹51,000, then divide by 100 workers. Taking the simple average of 600 and 450 gives ₹525, which is wrong because the groups are of unequal size.
- A₹495
- B₹510Correct
- C₹525
- D₹540
Explanation
Total wages = 40×600 + 60×450 = 24,000 + 27,000 = 51,000. Combined mean = 51,000 ÷ 100 = ₹510. The figure ₹525 comes from simply averaging 600 and 450, which ignores the different group sizes.
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