One sample has a mean of 5 and a second sample has a mean of

One sample has a mean of 5  and a second sample has a mean of 10.   The two samples are combined into a single set of scores.

1) What is the mean for the combined set if both of the original samples have n = 5 scores?

2) What is the mean for the combined set if the first sample has n = 4 scores and the second sample has n = 6?

3) What is the mean for the combined set if the first sample has n = 6 scores and the second sample has n = 4?

Solution

1) if n = 5, the mean for the combined set is = (5*5 + 5* 10) /10 = 7.5

2)In 2nd case, the mean for the combined set = (4*5 + 6*10)/10 = 8

3) In 3rd case, the mean for the combined set = (6*5 + 4*10)/10 = 7

One sample has a mean of 5 and a second sample has a mean of 10. The two samples are combined into a single set of scores. 1) What is the mean for the combined

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