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Question
The mean of 6 observations is 25 and the mean of other 4 observations is 20. Find the mean of all observations.
Sum
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Solution
Given: The mean of 6 observations is 25 and the mean of the other 4 observations is 20.
Step-wise calculation:
1. Sum of first 6 observations
= 6 × 25
= 150
2. Sum of other 4 observations
= 4 × 20
= 80
3. Total sum
= 150 + 80
= 230
4. Total number of observations
= 6 + 4
= 10
5. Mean of all observations
= `"Total sum"/"Total number"`
= `230/10`
= 23
The mean of all 10 observations is 23.
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