## Irene’s mean score on 5 tests is 88%. What is the lowest score she can get on her next test to raise her mean test score to 91%?

Question

Irene’s mean score on 5 tests is 88%. What is
the lowest score she can get on her next test
to raise her mean test score to 91%?

in progress 0
3 weeks 2021-09-28T03:07:11+00:00 1 Answer 0

1. Answer: The least score she can get on her next test is 455 points.

Step-by-step explanation: From the available information, her current mean score is 88%, and that was achieved from a total of 5 tests. Hence, her mean score was computed as follows;

Mean = (Summation of data)/observed data

Where the observed data is 5 and the mean is 88. Therefore the mean can now be expressed as,

88 = Summation of data/5

By cross multiplication we now have

88 x 5 = Summation of data

440 = Summation of data.

So, if she wants to raise her mean score on her next test to 91%, her least possible score would be derived as

91 = (Summation of data)/5

By cross multiplication we now have

91 x5 = Summation of data

455 = Summation of data

Therefore, on her next test, she must score at least 455 points.