Question

In a sumple of n = 6 scores the largest score is X = 10, and the mean is M=6. If the largest score is changed from X = 10 to X = 22, then what is the value of the new mean?

a.M=9
b.M=7
c. M=8
d.M=6

Answer 1

The new mean is approximately 6.33, which is closest to option a. M=9.

Step-by-step explanation:

To find the new mean, we need to calculate the sum of the scores and divide it by the number of scores. Since the largest score is changed from X = 10 to X = 22, we need to subtract the original largest score from the sum and add the new largest score to it. Then, we divide this new sum by the original number of scores, which is 6.

Here's the calculation:

(Sum of scores + New largest score - Original largest score)/Number of scores = (6*6 + 22 - 10)/6 = 38/6 = 6.33

So, the new mean is approximately 6.33, which is closest to option a. M=9.