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.
1.The math grades on the final exam
varied greatly. Using the scores below, 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
2.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%?
3.If you know the standard
deviation, how do you find the variance?
4.To get the best deal on a stereo
system, Louis called eight appliance stores 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
5.A company has 70 employees whose
salaries are summarized in the frequency distribution below.
Salary Number of Employees
5,001Γ’ΒΒ10,000 8
10,001Γ’ΒΒ15,000 12
15,001Γ’ΒΒ20,000 20
20,001Γ’ΒΒ25,000 17
25,001Γ’ΒΒ30,000 13
a.Find the standard deviation
b.Find the variance.
6. Calculate the mean and variance
of the data. Show and explain your steps. Round to the nearest tenth. 14, 16,
7, 9, 11, 13, 8, 10
7.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
8.Answer the following questions
using the frequency distribution table you created in No. 7.
a.Which number(s) had the highest
frequency?
b.How many times did a number of 4
or greater get thrown?
c.How many times was an odd number
thrown?
d.How many times did a number
greater than or equal to 2 and less than or equal to 5 get thrown?
9.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.
10.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?
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