The second of the two samples has 50 items with mean 15. if the whole group has 150 items with mean 16 find the mean of first sample?
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Given: Total Items are 50 and the mean is 15.
To Find: Find the mean of first sample?
Solution:
- Now we have given that the second of the two samples is having 50 items and the mean of those 50 items is 15.
- So the sum of items will be:
15 x 50 items = 750
- Now we have given that the total items are 150 and the mean is 16.
- So the sum will be:
16 x 150 items = 2400
- Now, the sum of first sample is = Total items - first sample
2400 - 750
= 1650
- The items are: 150 - 50 = 100
- The mean of first sample = the sum of first sample / 100
1650 / 100
= 16.5
Answer:
So, the mean of first sample IS 16.5
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