What is the combined mean of all 250 items ?

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Solution

The correct option is A 44
Mean of $100$ items $(μ_{1}) = 50$
Sum of $100$ items $(μ_{1}) \times 100 = 5000$
Mean of $150$ items $(μ_{2}) = 40$
Sum of $100$ items $(μ_{2}) \times 150 = 6000$
Sum of $(150 + 100)$ items $= 5000 + 6000 = 11000$
Mean of $250$ items $= \frac{S u m}{n o o f i t e m s} = \frac{11000}{250} = 44$

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What is the combined mean of all 250 items ?

The correct option is A 44Mean of 100 items (μ1)=50Sum of 100 items (μ1)×100=5000Mean of 150 items (μ2)=40Sum of 100 items (μ2)×150=6000Sum of (150+100) items =5000+6000=11000Mean of 250 items =Sumnoofitems=11000250=44