Question

John has taken six quizzes in his statistics class. His

scores on these quizzes are listed below.
71, 75, 76, 80, 85, 87
He finds that the mean is 79.0 and the median is 78.0
for these six quiz scores. If John earns a 100% on the
next exam, what will the new mean and median be?
O The new mean will be 82.0 and the new median will
be 78.0.
O The new mean will be 82.0 and the new median will
be 80.0.
O The new mean will be 89.5 and the new median will
be 78.0.
O The new mean will be 89.5 and the new median will
be 80.0

Answer 1

The new mean will be 82.0 and the new median will be 80.0.

Explanation:

To find the mean, we must divide the sum of terms by the number of terms.

• 71+75+76+80+85+87+100 = 574
• Divide 574 by 7 because there are 7 quiz scores
• 574 ÷ 7 = 82

The new mean is 82

To find the median, we need to find the middle number of the set

• Order the numbers up: 71, 75, 76, 80, 85, 87, 100
• 80 is in the middle

The new median is 80