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 weighted mean for the combined sample?
A)70/4 = 17.5
B)70/6 = 11.7
C)70/10 = 7.0
D)10/5=2.0

Question

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 weighted mean for the combined sample?​
A)​70/4 = 17.5
B)​70/6 = 11.7
C)​70/10 = 7.0
D)​10/5=2.0

Quizplus · Accepted Answer

To find the weighted mean for the combined sample, we first need to find the total sum of the scores in both samples.

Sample 1: n = 4, M = 10 
Total score in sample 1 = n * M = 4 * 10 = 40

Sample 2: n = 6, M = 5 
Total score in sample 2 = n * M = 6 * 5 = 30

Total score in the combined sample = 40 + 30 = 70

Next, we need to find the weighted mean by dividing the total score by the total number of observations:

Total number of observations in the combined sample = n1 + n2 = 4 + 6 = 10

Weighted mean = Total score / Total number of observations = 70 / 10 = 7.0

Therefore, the correct answer is C.

One Sample Has N = 4 Scores and M =