Measurement, Conversion, Comparison Math Worksheet With Answer Key Page 2

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7. Which of the following is likely to have a mean that is smaller than the median?
(a) The salaries of all National Football League players.
(b) The scores of students (out of 100 points) on a very easy exam in which most get nearly perfect scores but a
few do very poorly.
(c) The prices of homes in a large city.
(d) The scores of students (out of 100 points) on a very difficult exam in which most get poor scores but a few do
very well.
(e) Amounts awarded by civil court juries.
8. There are three children in a room, ages three, four, and five. If a four-year-old child enters the room the
(a)
mean age will stay the same but the variance will increase.
(b)
mean age will stay the same but the variance will decrease.
(c)
mean age and variance will stay the same.
(d)
mean age and variance will increase.
(e)
mean age and variance will decrease.
9. The weights of the male and female students in a class are summarized in the following boxplots:
Which of the following is NOT correct?
(a) About 50% of the male students have weights between 150 and 185 pounds.
(b) About 25% of female students have weights more than 130 pounds.
(c) The median weight of male students is about 162 pounds.
(d) The mean weight of female students is about 120 pounds because of symmetry.
(e) The male students have less variability than the female students.
10. When testing water for chemical impurities, results are often reported as bdl, that is, below detection limit. The
following are the measurements of the amount of lead in a series of water samples taken from inner-city
households (ppm).
5, 7, 12, bdl, 10, 8, bdl, 20, 6
Which of the following is correct?
(a) The mean lead level in the water is about 10 ppm.
(b) The mean lead level in the water is about 8 ppm.
(c) The median lead level in the water is 7 ppm.
(d) The median lead level in the water is 8 ppm.
(e) Neither the mean nor the median can be computed because some values are unknown.
Answers:
1. e; 2. e; 3. c; 4. c; 5. c; 6. e; 7. b; 8. b; 9. e; 10. c

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