The arithmetic mean of 10 items is 5 and the arithmetic mean of 10 items is 10. The combined arithmetic mean is
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the combined arithmetic mean is 7.5.
The arithmetic mean of 10 items is 5 and the arithmetic mean of 10 other items is 10.
We have to find the arithmetic mean.
We know,
- Arithmetic mean is the sum of observations to the total number of observations.
case 1 : arithmetic mean of 10 observations = 5
⇒5 = sum of observations/10
⇒sum of observations = 50
case 2 : arithmetic mean of 10 other items = 10
⇒10 = sum of observations/10
⇒sum of observations = 10 × 10 = 100
after combining,
total number of observations = 10 + 10 = 20
sum of observations = 50 + 100 = 150
now arithmetic mean of combined items = sum of observations/total number of observations
= 150/20
= 7.5
Therefore the combined arithmetic mean is 7.5
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