Answer to Question #5851 in Statistics and Probability for noreen

Question

A sample of n=5 scores has a mean x-bar=8.If a new score X=2 is added to the sample.What value would be obtained for the new sample?

Answer 1

We know that (a1+a2+a3+a4+a5)/5 = 8. So, (a1+a2+a3+a4+a5+2)/6 = (a1+a2+a3+a4+a5)/6 + 2/6 = ((a1+a2+a3+a4+a5)/5)*5/6 + 2/6 = 8*5/6 + 1/3 = 7.