John has taken six quizzes in his statistics class. His scores on these quizzes are listed. 71 , 75 , 76 , 80 , 85 , 87 He finds that the mean is 79 point 0 and the median is 78 point 0 for these six quiz scores. If John earns a 100 percent on the next exam, what will the new mean and median be?
Answer
A
The new mean will be 82 point 0 and the new median will be 80 point 0 .
B
The new mean will be 82 point 0 and the new median will be 78 point 0 .
C
The new mean will be 89 point 5 and the new median will be 80 point 0 .
D
The new mean will be 89 point 5 and the new median will be 78 point 0 .
Explanation
The six scores total 474, and adding a score of 100 gives a total of 574. With seven scores, the new mean is 574 ÷ 7 = 82. In order, the scores are 71, 75, 76, 80, 85, 87, and 100, so the middle (fourth) score is 80. The new mean is 82.0 and the new median is 80.0, which is choice C.
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