ALLIED MAT130 MODULE 2 check your understanding

Question Points
1. Find the
median for the given sample data. The ages (in years) of the eight passengers
on a bus are listed. Find the median age: 6 3 23 19 25 42 37 35.
a. 25 yr
b. 23.5 yr
c. 23 yr
d. 24 yr
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2.
Construct a pie chart representing the given data set. The
following data give the distribution of the types of houses in a town
containing 12,000 houses.

a.
b.
3. Find the
midrange for the given sample data. Listed below are the amounts of time (in
months) that the employees of an electronics company have been working at the
company. Find the midrange. 15, 21, 28, 34, 48, 51, 61, 61, 73, 76, 85, 91,
132, 155
a. 70 months
b. 66.5 months
c. 61 months
d. 85 months
4.
A car dealer is deciding what kinds of vehicles he should
order from the factory. He looks at his sales report for the preceding period.
Choose the vertical scale so that the relative frequencies are represented.
Construct a Pareto chart to help him decide.

a.
b.
c.
d.

5.
Find the midrange for the given sample data. A meteorologist
records the number of clear days in a given year in each of the 21 different
U.S. cities. The results are shown below. Find the midrange.

a. 110.5 days
b. 117 days
c. 112 days
d. 98 days
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6. Solve the
problem. A student of the author earned grades of 92, 83, 77, 84, and 82 on her
five regular tests. She earned grades of 88 on the final exam and 95 on her
class projects. Her combined homework grade was 50. The five regular tests
count for 60% of the final grade, the final exam counts for 10%, the project
counts for 15%, and homework counts for 15%. What is her weighted mean grade
(rounded to the nearest hundredth), and what letter grade did she earn? (A, B,
C, D, or F)
a. 80. 38, B
b. 79.15, C
c. 80.71, B
d. 78.45, C
e. None of the
choices apply
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7. Find the
mean for the given sample data. Unless indicated otherwise, round your answer
to one more decimal place than is presented in the original data values. Listed
are the amounts of time (in months) that the employees of a restaurant have
been working at the restaurant. Find the mean: 1 4 7 8 12 15 19 43 66 97 99 127
148 167
a. 53.5 months
b. 31 months
c. 57.4 months
d. 61.8 months
8. Use the
empirical rule to solve the problem. At one college, GPAs are normally
distributed with a mean of 2.6 and a standard deviation of 0.4. What percentage
of students at the college have a GPA between 2.2 and 3?
a. 95%
b. 68%
c. 84.13%
d. 99.7%
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9.
Find the original data from the stemplot.

a. 7, 13, 7, 7, 10,
13, 9, 9, 12, 15, 17, 13, 13, 17
b. 61, 67, 71, 74,
77, 81, 84, 84, 87, 89, 94, 94
c. 64, 64, 64, 71,
71, 74, 77, 81, 81, 94, 94
d. 61, 67, 74, 74,
77, 84, 84, 87, 89, 94, 94
10. Determine
what completes the following definition: A(n) _____ is a plot of paired (x, y)
quantitative data with a horizontal x-axis and a vertical y-axis.
a. stem-plot
b. pie-chart
c. scatter-plot
d. dot-plot
e. multiple bar
graph
f. Pareto chart
g. time-series graph
h. ogive
11. Find the
median for the given sample data. The distance (in miles) driven in the past
week by each of the company’s sales representatives are listed: 113, 143, 269,
251, 380, 460
a. 251 mi
b. 230.50 mi
c. 260 mi
d. 269 mi
12.
The frequency distribution below summarizes the home sale
prices in the city of Summerhill for the month of June. Determine the width of
each class.

a. 30
b. 61
c. 28
d. 31
13.
The following frequency distribution analyzes the scores on
a math test. Find the class boundaries of scores interval 95-99.

a. 94.5, 99.5
b. 95.5, 100.5
c. 95.5, 99.5
d. 94.5, 100.5
14.
Use data to create a stemplot. The attendance counts for
this season’s basketball games are listed below.

a.
b.
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15.
Find the mean of the data summarized in the given frequency
distribution. The heights of a group of professional basketball players are summarized
in the frequency distribution below. Find the mean height. Round your answer to
one decimal place.

a. 13.5 in.
b. 78.2 in.
c. 74.7 in.
d. 76.4 in.