One sample with n = 4 scores has a mean of M = 12,and a second sample with n = 6 scores has a mean of M = 8.If the two samples are combined,what is the weighted mean for the combined set of scores?
A)4.8
B)9.6
C)10.0
D)19.2

Question

One sample with n = 4 scores has a mean of M = 12,and a second sample with n = 6 scores has a mean of M = 8.If the two samples are combined,what is the weighted mean for the combined set of scores?​
A)​4.8
B)​9.6
C)​10.0
D)​19.2

Quizplus · Accepted Answer

The weighted mean can be calculated by multiplying each mean by its respective sample size, adding these products together, and then dividing by the total number of scores. For the first sample, $4 \times 12 = 48$, and for the second sample, $6 \times 8 = 48$. The sum of these products is $48 + 48 = 96$. The total number of scores is $4 + 6 = 10$. Thus, the weighted mean is $96 / 10 = 9.6$.

One Sample with N = 4 Scores Has a Mean