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Answer to Question #1163 in Statistics and Probability for Brittany

Question #1163
One sample has a mean of M= 6 and a seond sample has a mean of M= 12. The two samples are combined into a single set of scores.&
A) what is the mean for the combined set if both of the original samples have n = 5 scores?&
B) what is the mean for the combined set if the first sample has n = 4 score and the second sample has n = 8? &
Expert's answer
A) The mean wil lbe equal to
X = (5*6+5*12)/(5+5) = 9
B) The mean of the combined set would be
X = (4*6 + 8*12) / (4+8) = 10.

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Comments

Assignment Expert
30.09.14, 17:30

Dear nicole.
The mean for the combined sample will be (n1M1+n2M2)/(n1+n2)=(4*10+6*5)/(4+6)=(40+30)/10=70/10=7. 

nicole
30.09.14, 04:46

One sample has n = 4 scores and M = 10. A second sample has n = 6 scores and M = 5. If the two samples are combined, then what is the mean for the combined sample?

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