14. A sample of n = 9 scores has a mean of M = 20. One of the scores is changed and the new mean is found to be M = 22. If the changed score was originally X = 7, what is its new value?

Question

14. A sample of n = 9 scores has a mean of M = 20. One

of the scores is changed and the new mean is found to

be M = 22. If the changed score was originally X = 7,

what is its new value?

Answer 1

men = sum of scores/ number of scores

when mean was 20:

20 = sum of scores / 9

sum of scores = 180

when mean is 22

22 = sum of scores / 9

sum of scores = 198

since the sum of scores increased by 18, the changed value (7) increased by 18 to 25.