Question

In: Statistics and Probability

The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible...

The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 110, while the mean score was 72 and the standard deviation was 8.

48 56 64 72 80 88 96 Distribution of Test Scores

What is the approximate percentage students who scored between 64 and 80 on the test?


What is the approximate percentage of students who scored between 56 and 88 on the test?


What is the approximate percentage of students who scored between 48 and 72 on the test?


What is the approximate percentage of students who scored higher than 96 on the test?
%

Solutions

Expert Solution

Answer: The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 110, while the mean score was 72 and the standard deviation was 8.

Solution:

Mean μ = 72

Standard deviation, σ = 8

Therefore,

the approximate percentage students who scored between 64 and 80 on the test 68.26%.

the approximate percentage of students who scored between 56 and 88 on the test 95.45%.

the approximate percentage of students who scored between 48 and 72 on the test 49.87%.

the approximate percentage of students who scored higher than 96 on the test 0.13%.


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