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Statistics
Review
MGF 1106
Fall 2011
Determine the following for the data listed above:
Mean
a) 25.5, 25, 51, 25, 26
Mode
Range
Median
Midrange
b) 26, 51, 25.5, 25, 11
c) 26, 25, 11, 25, 25.5
d) 26, 11, 25, 25, 25.5
What is the standard deviation for the data above?
a) 26
b) 4.24
c) 18
d) 3.96
Use the set of data to construct a frequency of distribution; let
the first class be 5-10.
A.
B.
C.
D.
Class
Freq.
Class
Freq.
Class
Freq.
Class
Freq.
5-10
6
5-10
6
5-10
6
5-10
6
11-16
6
10-15
6
11-16
6
11-16
6
17-22
4
15-20
5
17-22
5
17-22
4
23-28
6
20-25
5
23-28
5
23-28
6
29-34
5
25-30
6
29-34
6
29-34
5
35-37
3
30-37
7
35-40
7
35-40
3
Use the set of data to construct a histogram of the frequency of
distribution.
A.
B.
6
4
2
6
4
2
4
2
0
7.5
13.5
19.5
25.5
31.5
37.5
0
6
7.5
13.5
19.5
25.5
31.5
37.5
0
8
Frequency
Frequency
8
7.5
13.5
19.5
25.5
31.5
37.5
Frequency
8
C.
Scores
Scores
Scores
Use the set of data to construct a frequency polygon of the
frequency of distribution.
A.
B.
2
0
Scores
4
2
0
6
4
2
0
5-10
10-15
15-20
20-25
25-30
35-40
4
6
5-10
11-16
17-22
23-28
29-34
35-40
Frequency
6
8
Frequency
8
7.5
13.5
19.5
25.5
31.5
37.5
Frequency
8
C.
Scores
Scores
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
What is the most common score?
a) 81
b) 83
c) 80
d) 95
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
What score did half of the students exceed?
a) 81
b) 83
c) 80
d) 95
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
About what percent of students’ grades exceeded 89?
a) 25
b) 50
c) 75
d) 100
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
About what percent of students’ grades were less than 95?
a) 5
b) 90
c) 60
d) 95
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
If there are 100 students enrolled in Algebra II, what would be
the total of all the scores?
a) 81
b) 8300
c) 8100
d) 8000
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
What test score represents one standard deviation above the
mean?
a) 81
b) 90
c) 9
d) 72
The following data represents Algebra II test scores.
Mean
81
First Quartile
60
Median
83
Third Quartile
89
Mode
80
90th Percentile
95
Standard Deviation
9
What test score represents 1.5 standard deviations below the
mean?
a) 81
b) 90
c) 67.5
d) 72.5
What percent of cups of coffee sold were between $1.75
and $2.15?
a) 16%
b) 78%
c) 61%
d) 95%
What percent of cups of coffee were sold for greater than
$1.50?
a) 98%
b) 2%
c) 20%
d) 47%
What percent of cups of coffee were sold for greater than
$2.00?
a) 55%
b) 1%
c) 45%
d) 3%
What percent of cups of coffee were sold for less than
$2.00?
a) 84%
b) 10%
c) 16%
d) 90%
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