8:37DoneA myopenmath.comAAThe graph illustrates the distribution of test scores takenby College Algebra students. The maximum possible scoreon the test was 130, while the mean score was 80 and thestandard deviation was 12.4456688092104116Distribution of Test ScoresUse the "Empirical Rule", not a calculator or othertechnology. Do not round your answers.What is the approximate percentage of students whoScored higher than 104 on the test?What is the approximate percentage students who scoredbetween 68 and 92 on the test?What is the approximate percentage of students whoscored between 56 and 104 on the test?%What is the approximate percentage of students whoscored between 80 and 92 on the test?Question Help: D Video 1 D Video 2 M MessageinstructorSubmit Question

Answered: The graph illustrates the distribution…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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8:37
Done
A myopenmath.com
AA
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

Step 1

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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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