Question

In a sample of n = 6 scores, the smallest score is X = 3, 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?

Answer 1

Answer:

8

Step-by-step explanation:

Given that in a sample of n = 6 scores, the smallest score is X = 3, the largest score is X = 10

Mean = 6

Since mean = 6 we get sum of all the 6 scores = $6(6) = 36$

Now  II part says 10 is changed to 20

i.e. original sum = 36

Changed value  = 10

Adjusted value =26

Add: new value  =22

New sum            =48

So we have sum = 48

New mean= $\frac{48}{6} =8$

(This can also be done using the formula

old mean + positive change in one score/6)