The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 130, while the mean score was 80 and the standard deviation was 12. 44 56 68 80 92 104
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 130, while the mean score was 80 and the standard deviation was 12. 44 56 68 80 92 104
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The graph illustrates the distribution of test scores taken
by College Algebra students. The maximum possible score
on the test was 130, while the mean score was 80 and the
standard deviation was 12.
44
56
68
80
92
104
116
Distribution of Test Scores
Use the "Empirical Rule", not a calculator or other
technology. Do not round your answers.
What is the approximate percentage of students who
Scored higher than 104 on the test?
What is the approximate percentage students who scored
between 68 and 92 on the test?
What is the approximate percentage of students who
scored between 56 and 104 on the test?
%
What is the approximate percentage of students who
scored between 80 and 92 on the test?
Question Help: D Video 1 D Video 2 M Message
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Transcribed Image Text:8:37
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The graph illustrates the distribution of test scores taken
by College Algebra students. The maximum possible score
on the test was 130, while the mean score was 80 and the
standard deviation was 12.
44
56
68
80
92
104
116
Distribution of Test Scores
Use the "Empirical Rule", not a calculator or other
technology. Do not round your answers.
What is the approximate percentage of students who
Scored higher than 104 on the test?
What is the approximate percentage students who scored
between 68 and 92 on the test?
What is the approximate percentage of students who
scored between 56 and 104 on the test?
%
What is the approximate percentage of students who
scored between 80 and 92 on the test?
Question Help: D Video 1 D Video 2 M Message
instructor
Submit Question
Expert Solution
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According to the empirical rule, for normal distribution, 95% of the values lie two standard deviations from the mean. This means that of the 5% observations lie outside two standard deviations from the mean, that is of 2.5% the observations will be less than two standard deviations of the mean and 2.5% of the observations will be above than two standard deviations of the mean.
The percentage of students who scored higher than 104 lies two standard deviations from the mean. This means that the required percentage is approximately 2.5%.
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