The mean of 12 observations is 25. If observations 13 and 21 are removed, then what is the mean of the remaining observations?
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Answer:
The mean is 26.6
Explanation:
Given,
Mean of 12 observations = 25
No. of observations = 12
Therefore,
Sum of observations = 25 × 12
= 300
Now,
If observations 13 and 21 are removed
Then,
Sum of observations = 300 - 13 - 21
= 300- 34
= 266
Therefore, no. of observations = 12 - 2
= 10
Now, new mean of 10 numbers =
Sum of observations ÷ No. of observations
= 266 ÷ 10
= 26.6
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