MATH120 Test 1
1. Use a scatter plot to display the data shown in the table below. The data represents the number of students per teacher and the average teacher salaries (in thousands of dollars) in 10 school districts.
1 Click the icon for the data table of students per teacher and average teacher salary. Construct a scatter diagram.
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A. B. C. D.
55 55 20 55
Salary Salary Salary Salary
25 20 25 20 10 55 25 20
10 10 25 10
Students/Teacher Students/Teacher Students/Teacher Students/Teacher
Describe the relation between students per teacher and average teacher salary.
A. As the amount of students per teacher decreases, the average teacher salary increases.
B. There appears to be no relation between students per teacher and average teacher salary.
C. As the amount of students per teacher increases, the average teacher salary also increases.
1: Students per Teacher and Salary
Number of Average Teacher’s
Students per Salary
Teacher
17.1 28.0
17.3 47.4
19.9 31.4
16.5 28.2
19.2 41.0
17.8 33.3
14.6 49.4
17.1 36.
12.9 43.4
18.7 31.7
2. Match the frequency distribution of 200 rolls of a dodecahedron (a 12-sided die) with one of the histograms shown below.
25
20
15
10
5
0 3 6 9 12
25
20
15
10
5
0 3 6 9 12
25
20
15
10
5
0 3 6 9 12
20
15
10
5
0 3 6 9 12
Which histogram shows a distribution that would likely result from 200 rolls of a dodecahedron?
A.
25
20
15
10
5
0 3 6 9 12
B.
25
20
15
10
5
0 3 6 9 12
C.
25
20
15
10
5
0 3 6 9 12
D.
20
15
10
5
0 3 6 9 12
3. The ages of the members of a legislature from a particular state are listed below. Find the mean, median, and mode of the data set, if possible. If any measure cannot be found or does not represent the center of the data, explain why.
66 43 35 46 52 46 32 51 48
Find the mean age. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mean age is
(Round to one decimal place as needed.)
B. There is no mean age.
Does the mean represent the center of the data?
A. The mean represents the center.
B. The mean does not represent the center because it is the largest data value.
C. The mean does not represent the center because it is the smallest data value.
D. The mean does not represent the center because it is not a data value.
E. There is no mean age.
Find the median age. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The median age is .
(Round to one decimal place as needed.)
B. There is no median age.
Does the median represent the center of the data?
A. The median represents the center.
B. The median does not represent the center because it is the largest data value.
C. The median does not represent the center because it is the smallest data value.
D. The median does not represent the center because it is not a data value.
E.There is no median age.
Find the mode of the ages. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mode(s) of the ages is (are) .
(Round to one decimal place as needed. Use a comma to separate answers as needed.)
B. There is no mode.
Does (Do) the mode(s) represent the center of the data?
A. The mode(s) represent the center of the data.
B. There is no mode.
C. The mode(s) does (do) not represent the center because it (one) is the smallest data value.
D. The mode(s) does (do) not represent the center because it (one) is the largest data value.
E.The mode(s) does (do) not represent the center because it (they) is (are) not a data value.
4.Find the range of the data set represented by the graph. 2 Click the icon to view the graph.
The range of the data set is .
2: Graph
Woman’s Age at First Childbirth
10
Frequency 8
6
4
&nbs
