The graph illustrates the distribution of test scores taken by College Algebra s

Question

The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 73 and the standard deviation was 15. What is the approximate percentage of students who scored higher than 118 on the test? What is the approximate percentage students who scored between 58 and 88 on the test? What is the approximate percentage of students who scored less than 43 on the test? What is the approximate percentage of students who scored between 73 and 88 on the test?

Explanation / Answer

as z score =(X-mean)/std deviaiton

hence

1)  approximate percentage of students who scored higher than 118 on the test =P(X>118)=P(Z>3)=0.13%

2)P(58<X<88)=P(-1<Z<1)=68.26%
3)P(X<43)=P(Z<-2)=2.28%

4)P(73<X<88)=P(0<Z<1)=34.13%

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