Math 1530-017 Exam 1 With Answer Key - 2009 Page 5
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1115. Which of the following is least affected (i.e., most resistant) if an extreme high outlier is added to
your data?
(a) The variance.
(b) The mean.
(c) The standard deviation.
(d) The square of the standard deviation.
(e) The median.
16. The Three Stooges made short films for 25 years. The average number of slaps per film is (listed in
order from smallest to largest):
6.4
6.4
7.6
8.5
8.9
9.9
10.2 10.5 10.6 11.4 11.6 12.2 13.6
13.7 14.0 14.4 14.8 15.6 16.0 17.8 19.6 21.1 23.1 31.9 33.5
The first quartile is Q
= 10.05, the median is 13.6 and the third quartile is Q
= 16.9. Using the
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1.5 × IQR Rule to determine if there are any outliers, you find that:
(a) There are no outliers.
(b) There are four outliers: 6.4, 6.4, 31.9, and 33.5.
(c) There are two outliers: 31.9 and 33.5.
(d) There are two outliers: 6.4 and 6.4.
(e) There is one outlier: 33.5.
17. Which of the following is/are true of a (probability) density curve?
(a) The median of a density curve is the equal-areas point, the point that divides the area under
the curve in half.
(b) The mean of a density curve is the balance point, at which the curve would balance if made of
solid material.
(c) The mean is larger than the median for a right-skewed density curve.
(d) The mean and median are equal in a symmetric distribution.
(e) All of the above.
18. The heights of American men, aged 20 to 29, is approximately normally distributed with mean
µ = 69.3 inches and standard deviation σ = 2.8 inches. Which of the following statements is
FALSE?
(a) The distribution of American men’s heights (aged 20 to 29) is symmetric.
(b) Half of American men (aged 20 to 29) are 69.3 inches or shorter.
(c) The distribution of American men’s heights (aged 20 to 29) is bell-shaped with the peak at 69.3
inches.
(d) The distribution of heights of American men, aged 20 to 29, is bimodal.
(e) Almost all American men (aged 20 to 29) are between 60.9 inches and 77.7 inches in height.
19. The scores on a university entrance examination are normally distributed with a mean of 63 and a
standard deviation of 11. If the bottom 7.5% of students will fail the exam, what is the lowest mark
that a student can have and still be eligible to enroll at the university? Use the Standard Normal
Probabilities Table.
(a) 51.
(b) 42.
(c) 79.
(d) 48.
(e) 63.
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