if the mean of first 10 observations is 15 and the mean of first 15 obseis 10. find the mean of all observations
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if the mean of first 10 observations is 15 and the mean of first 15 obseis 10. find the mean of all observations
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Answer:
Given:
The mean of first 10 observations = 15
The mean of another 15 observations = 10
To find:
The mean of all observations
Solution:
The formula to find the mean of the observations is given as follows:
For the first 10 observations
Using the formula, we get
15 =
⇒ Sum of first 10 observations = 15 × 10
⇒ Sum of first 10 observations = 150
For the 15 observations
Using the formula, we get
10 =
⇒ Sum of another 15 observations = 10 × 15
⇒ Sum of another 15 observations = 150
Now,
The sum of all (15 + 10 =) 25 observations will be,
= [Sum of first 10 observations] + [Sum of another 15 observations ]
= 150 + 150
= 300
∴ Mean of all 25 observations = = 12
Thus, the mean of all observations is 12.
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