Math 1530-017 Exam 1 With Answer Key - 2009 Page 3

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7. You look at real estate ads for houses in Sarasota, Florida. There are many houses ranging from
$200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million.
The distribution of house prices will be:
(a) Skewed to the left.
(b) Skewed to the right.
(c) Roughly symmetric.
(d) Undefined since this represents categorical data.
(e) Dependent on the demand for housing.
8. The population of the United States is aging, though less rapidly than in other developed countries.
Here is a stemplot of the percents of residents aged 65 and older in the 50 states, according to the
2000 census. The stems are whole percents and the leaves are tenths of a percent.
5 7
6
7
8 5
9 6 7 9
10
6
11
0 2 2 3 3 6 7 7
12
0 0 1 1 1 1 3 4 4 5 7 8 9
13
0 0 0 1 2 2 3 3 3 4 5 5 6 8
14
0 3 4 5 7 9
15
3 6
16
17
6
The center of the distribution is close to:
(a) 14.0%
(b) 5.7% to 17.6%
(c) 138%
(d) 12.7%
(e) 11.0%
9. Use these data for this question. Suppose the grade point averages (GPA) of 7 randomly chosen
students from your statistics class are 3.14, 2.37, 2.94, 3.60, 1.70, 4.00, and 1.85. What is the mean
GPA for these students?
(a) 0.28
(b) 3.6
(c) 7.8
(d) 4.0
(e) 2.8
10. Suppose a set of sample data has the following 5-number summary:
MIN
Q
MEDIAN
Q
MAX
1
3
20
45
72
97
122
Which of the following statements is INCORRECT?
(a) The interquartile range (IQR) is 52.
(b) 50% of the scores lie between 45 and 122.
(c) 25% of the scores are below 45.
(d) 50% of the scores are above 72.
(e) 75% of the scores lie between 20 and 97.

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