Q:

Shonda's 6 test scores have an arithmetic mean of 78%. After removing 1 test score, the new arithmetic mean of the 5 remaining scores is 84%. Which test score was removed?

Accepted Solution

A:
Answer:48Step-by-step explanation:Let the scores be a,b,c,d,e,f.So sum of these scores = mean * 6                                         = 78 X 6 After say removing test score a, mean = 84 % So sum of these remaining scores = mean * 5                                             = 84 X 5 Having calculated these two, the removed score = difference of the two sums.So removed test score = 78 X 6 - 84 X 5                                       = 48