Module 3 – Case
FREQUENCY DISTRIBUTIONS
Case Assignment
By submitting this assignment, you affirm that it contains
all original work, and that you are familiar with Trident University’s Academic
Integrity policy in the Trident Policy Handbook. You affirm that you have not
engaged in direct duplication, copy/pasting, sharing assignments, collaboration
with others, contract cheating and/or obtaining answers online, paraphrasing,
or submitting/facilitating the submission of prior work. Work found to be
unoriginal and in violation of this policy is subject to consequences such as a
failing grade on the assignment, a failing grade in the course, and/or elevated
academic sanctions. You affirm that the assignment was completed individually,
and all work presented is your own.
Problems need to include all required steps and answer(s)
for full credit. All answers need to be reduced to lowest terms where possible.
Answer the following problems showing your work and
explaining (or analyzing) your results.
The final exam scores listed below are from one section of
MATH 200. How many scores were within
one standard deviation of the mean? How many scores were within two standard
deviations of the mean?
99 34
86 57 73
85 91 93
46 96 88
79 68 85
89
The scores for math test #3 were normally distributed. If 15
students had a mean score of 74.8% and a standard deviation of 7.57, how many
students scored above an 85%?
If you know the standard deviation, how do you find the
variance?
To get the best deal on a stereo system, Louis called 8 out
of 20 appliance stores in his neighborhood and asked for the cost of a specific
model. The prices he was quoted are listed below:
$216 $135
$281 $189 $218
$193 $299 $235
Find the standard deviation.
A company has 70 employees whose salaries are summarized in
the frequency distribution below.
Salary Number of
Employees
5,001–10,000 8
10,001–15,000 12
15,001–20,000 20
20,001–25,000 17
25,001–30,000 13
Find the standard deviation.
Find the variance.
6. Calculate the mean
and variance of the sample data set provided below. Show and explain your
steps. Round to the nearest tenth.
14, 16,
7, 9, 11,
13, 8, 10
Create a frequency distribution table for the number of
times a number was rolled on a die. (It may be helpful to print or write out
all of the numbers so none are excluded.)
3, 5,
1, 6, 1,
2, 2, 6,
3, 4, 5,
1, 1, 3,
4, 2, 1,
6, 5, 3,
4, 2, 1,
3, 2, 4,
6, 5, 3, 1
Answer the following questions using the frequency
distribution table you created in No. 7.
Which number(s) had the highest frequency?
How many times did a number of 4 or greater get thrown?
How many times was an odd number thrown?
How many times did a number greater than or equal to 2 and
less than or equal to 5 get thrown?
The wait times (in seconds) for fast food service at two
burger companies were recorded for quality assurance. Using the data below,
find the following for each sample.
Range
Standard deviation
Variance
Lastly, compare the two sets of results.
Company Wait
times in seconds
Big Burger Company 105 67 78 120 175 115 120 59
The Cheesy Burger 133 124 200 79 101 147 118 125
What does it mean if a graph is normally distributed? What
percent of values fall within 1, 2, and 3, standard deviations from the mean?
Submit your work by the module due date. If you are having
difficulty, please contact your professor.
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