Answer to Question #155295 in Statistics and Probability for jjjjjj

Question

One sample has n=6 scores with a mean of . A second sample has n=4 scores with a mean of  . If the two samples are combined, what is the mean for the combined sample?

Answer 1

In given question mean of samples are not given.

so let us assume One sample has n=6 scores with a mean of 12 . A second sample has n=4 scores with a mean of 16 . If the two samples are combined, what is the mean for the combined sample?

Formula: mean of combined sample = $\frac{m*X_a+n*X_b}{m+n}$

Where:

• xa = the mean of the first set,
• m = the number of items in the first set,
• xb = the mean of the second set,
• n = the number of items in the second set,
• xc the combined mean.

Solution:

Mean of combined sample= $\frac{6*12+4*16}{6+4}$

=$\frac{136}{10}=1.36$