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Chapter 1: Q19. (page 39)

Olivia has an average score of 92 on five French tests. If she earns a score of 96 on the sixth test, what will her new average score be?

Short Answer

Expert verified

The average of scores in 6 tests is equals to 92.66

Step by step solution

01

Step 1. Write the formulae used.

The average/mean of a data is:

02

Step 2. Write the given information.

The average of 5 of Olivia’s tests is 92.

The score in the 6th test is 96.

Let the sum of the score of 5 tests be x.

03

Step 3. Description of step.

First use the formula of mean to find the sum of scores of 5 tests as:

Average=x592=x592×5=xx=460

Thus, the sum of scores of 5 tests is 460.

Now again use the formula of average to find the average of 6 tests as:

Average=sumofscoresin5tests+scorein6thtest6=460+966=5566=2783

Thus, the average of scores in 6 tests equals to localid="1645102018299" 2783=92.66.

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