The mean of 10 values is 19. If further 5 values are

included the mean becomes 20. What is the mean

these five additional values?

a) 10

b) 15

c) 11

d) 22

22

Step-by-step explanation:

Pretend the 10 values in the first sentence are a, b, c, d, e, f, g, h, i, j

Pretend the addition 5 values is k, l, m, n, o

So the mean of all the 15 data is (a+b+c+d+e+f+g+h+i+j+k+l+m+n+o) / 15=20

So the sum of all 15 data is a+b+c+d+e+f+g+h+i+j+k+l+m+n+o=300 since 15 (20) = 300

Now let's look at the first 10: We have their mean so we can write:

(a+b+c+d+e+f+g+h+i+j) / 10=19

so a+b+c+d+e+f+g+h+i+j=190 since 10 (19) = 190

So that means using our first sum equation and our equation sum equation we have

190+k+l+m+n+o=300

k+l+m+n+o=300-190

k+l+m+n+o = 110

So the average of those 5 numbers mentioned in your problem is 110/5=22