Barbara’s average score on all five quizzes is 7.2.
The average is the ratio of total value of observation to the total number of observations.
On her first two quizzes, Barbara averaged 6 correct answers
Let a, b are the two quizzes, then average will be
a +b/2 =6
a +b =12...............(1)
On the next three quizzes, she averaged 8 correct answers.
Let c,d and e are the three quizzes, their average is
c +d +e /3 = 8
c +d+e =24..................(2)
Using equation (1) and (2), we get the total average of 5 quizzes is
=a+b+c+d+e /5
= 12 +24 /5
=7.2
Thus , the average of the five quizzes is 7.2.
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