MATH 136 Statistics Practice Quiz

Math 136 Quiz 2Chapter 2 Review
111
You may use the class notes, the textbook, collaborate with your classmates, and ask questions of your instructor. To
receive full credit, you must write up your own solutions independently, show all of your work, write neatly, and cite who
you
a craft, aim to hone this skill!
73.7 worked
74.2 with.
70.2Writing
62.7 mathematics
53.6 68.4 well
68.3 is68.4
cal
n
st
Due: Tuesday, March 8, 2022
64.4
45.0
69.6
73.7
73.3
72.7
63.2
71.1
Problem
a summary of the racial composition of the U.S. population. The races
64.9
66.51. The
63.4 2010
74.1Census
64.9results
63.0 include
70.7
reported by the populations of the United States and the State of California are summarized below. The data are given
64.5
63.8
66.4
76.5
67.0 72.9 74.6
in millions.
54.6
58.2
67.3
70.9
52.5
61.7
70.0
64.4
Race 69.3
73.3
67.8
66.1
72.9
62.3
68.5
White68.1
67.6
68.6
67.6
66.6
79.2
U.S.
223.6
BlackU.S.
orCensus
African
American
38.9
Source:
Bureau
American Indian and Alaska Native
2.9
Note: The state with the highest home ownership rate is
Asian
14.7
West Virginia and the lowest is Washington, DC.
Hawaiian
Other
Islander
0.55:
With aNative
lower class
limit of and
the first
classPacific
of 45 and
a class width of
Some Other Race
19.1
(a) Construct a frequency distribution.
Two or aMore
Races
9.0
(b) Construct
relative
frequency distribution.
CA
21.5
2.3
0.4
4.9
0.1
6.3
1.8
(c)
(d)
(e)
(f)
Construct
a frequency
of the data.
(a) (1 point)
Is thehistogram
data categorical
or quantitative?
Construct
a relative
frequency
histogramfrequency
of the data.
(b) (1 point)
Construct
a relative
distribution of races in CA.
Describe
the shape
of the
distribution.
(c) (1 point)
What
percentage
of CA residents are two or more races?
Repeat
(a)–(e)
using
a lower class
limitresidents
for the first
(d) (1parts
point)
What
percentage
of CA
are not white?
class of 40 and a class width of 10.
(e) (1 point) Use StatCrunch to make a side-by-side relative frequency bar graph of the U.S. and California data.
(g) Does one frequency distribution provide a better summary
(f) (1 point) Why is it best to use relative frequencies to compare the populations of the U.S. and California?
of the data than the other? Explain.
7. Diameter of a Cookie The following data represent the
Problem 2. The following data represent the diameter, in inches, of a random sample of thirty four chocolate chip
diameter (in inches) of a random sample of 34 Keebler Chips
cookies.
Deluxe™
Chocolate Chip Cookies.
2.3414
2.3010
2.2850
2.3015
2.2850
2.3019
2.2400
2.3005
2.2630
2.2853
2.3360
2.3696
2.3300
2.3290
2.2303
2.2600
2.2409
2.2020
2.3223
2.2851
2.2382
2.2438
2.3255
2.2597
2.3020
2.2658
2.2752
2.2256
2.2611
2.3006
2.2011
2.2790
2.2425
2.3003
Source: Trina S. McNamara, student at Joliet Junior College
(a)
(b)
(c)
(d)
(e)
Construct
a frequency
(a) (1 point)
Is thedistribution.
data discrete or continuous?
Construct
a relative
distribution.
(b) (1 point)
Usefrequency
StatCrunch
to make a frequency table starting at 2.2 with a class width of 0.025.
Construct
a cumulative
frequency distribution.
(c) (1 point)
Use StatCrunch
to male a frequency histogram starting at 2.2 with a class width of 0.025.
Construct
a cumulative
relative
frequency
distribution.
(d) (1 point)
What is
the shape
of the
distribution?
Construct
a frequency
histogram.
Describe
shape of the
(e) (1 point)
How many
cookies
havethe
a diameter
larger than 2.30 inches?
distribution.
(f) (1 point) When creating a frequency distribution, why must the classes not overlap?
(f) Construct a relative frequency histogram.
8. Time Online The following data represent the average
number of hours per week that a random sample of 40 college
students spend online. The data are based on the ECAR Study
of Undergraduate Students and Information Technology, 2007.
Construct a stem-and-leaf diagram of the data, and comment on
the shape of the distribution.
18.9
14.0
24.4
17.4
13.7
16.5
14.8
20.8
22.9
22.2
13.4
18.8
15.1
21.9
21.1
14.7
18.6
18.0
21.1
15.6
16.6
20.6
17.3
17.9
15.2
16.4
14.5
17.1
25.7
17.4
18.8
17.1
13.6
20.1
15.3
19.2
23.4
14.5
18.6
23.8