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Maria scored 72, 97, and 82 on her first three math tests. She wants to have a mean score of 82 for the quarter. How many points does she need on her last test to earn an 82 for the quarter?

A. 62.75
B. 77
C. 82
D. 83.25

Answer :

She need 77 points on her last test

How many points does she need on her last test

From the question, we have the following parameters that can be used in our computation:

First three = 72, 97, and 82

Mean = 82

Represent the last test with x

So, we have

Mean = Sum/Count

Substitute the known values in the above equation, so, we have the following representation

(72 + 97 + 82 + x)/4 = 82

This gives

251 + x = 328

So, we have

x = 77

Hence, the score is (b) 77

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