MAT120 - Take Home Exam One
Name _______________________________
The following data set represents one year’s energy consumptions for a sample of 50
households in the Southern United States in BTUs.
130
55
45
64
155
66
60
80
102
62
58
101
75
111
151
139
81
55
66
90
97
77
51
67
125
50
136
55
66
91
54
86
100
78
93
113
111
104
96
113
96
87
129
109
69
94
99
97
83
97
1) Fill in each of the statistics below for this data set: [8 pts]
Maximum value _________
Minimum value _________
Range __________
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Number of Classes __________
Class Size ___________
Lower Class Limits :
Upper Class Limits :
Class Boundaries:
Class Midpoints:
1
MAT120 - Take Home Exam One
Name _______________________________
2) Frequency Distribution [6 pts]
Classes
Tally
3) Relative Frequency Distribution [6 pts]
Classes
Frequency
4) Frequency Histogram [6 pts]
Relative Freq.
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MAT120 - Take Home Exam One
5) Relative Frequency Histogram [6 pts]
Name _______________________________
6) Frequency Polygon [6 pts]
8) Stem-and-Leaf Plot [6 pts]
7) Ogive Diagram [6 pts]
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MAT120 - Take Home Exam One
Name _______________________________
9) Calculate or determine the following statistics for the same data set above. [25 pts]
Mean
Median
Mode
Midrange
Frequency Distribution Mean
4
MAT120 - Take Home Exam One
Name _______________________________
10) In the space provided construct a Pareto Chart and a Pie Chart for the Frequency
Distribution below. [ 15 pts]
Day
Frequency
Sun
Mon
Tues
Wed
Thur
Fri
Sat
5
5
11
12
11
18
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Road Rage Incidents Frequency Distribution
Pareto Chart
Pie Chart
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MAT120 - Take Home Exam One
Name _______________________________
11) Calculate the sample standard deviation and variance and for the following data set
using either method. [ 10 pts]
3.04
2.65
4.56
1.33
6.08
Bonus Question 20 pts!
You are given the following data set:
135
184
129
190
195
168
165
124
179
183
133
160
145
172
78
108
a.
Determine the percentile for the number 160: P(160).
b.
Determine the value of P15.
148
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MAT120 - Take Home Exam One
c.
Name _______________________________
Obtain a five-number summary for the given data.
d. Construct a box plot for the data set above.
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