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

