Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the mean and standard deviation of the data.
22, 22, 26, 50, 44, 22, 27,
43
a. | 32; about 118.75 | c. | 26.5; about 118.75 | b. | 32;
about 10.9 | d. | 26.5;
about 10.9 |
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2.
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Make a box-and-whisker plot for the data.
Number of apples picked
70, 59,
69, 42, 56, 21, 61, 40
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3.
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Display the data in a histogram. Describe the shape of the distribution. Number of Books Read | Frequency | 0 – 1 | 4 | 2 – 3 | 7 | 4 – 5 | 5 | 6 – 7 | 4 | 8 – 9 | 3 | 10 – 11 | 2 | 12 – 13 | 1 | | |
a. |  Most of the data are on the right. So, the
distribution is skewed left. | c. |  The distribution is high in the middle, and the
data are about evenly distributed on both sides. So, the distribution is
symmetric. | b. |  Most of the data are on the right. So, the
distribution is skewed left. | d. |  Most of the data are on the left. So, the
distribution is skewed right. |
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4.
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Determine which measures of central tendency and dispersion best represent the
data. Explain your reasoning.  a. | Because the distribution is high in the middle, and the data are about evenly
distributed on both sides, the distribution is symmetric. So, the median best represents the center
of the data and the five-number summary best represents the spread of the data. | b. | Because the
distribution is high on the left and the tail of the graph extends to the right, the distribution is
skewed right. So, the mean best represents the center of the data and the standard deviation best
represents the spread of the data. | c. | Because the distribution is high on the left
and the tail of the graph extends to the right, the distribution is skewed right. So, the median best
represents the center of the data and the five-number summary best represents the spread of the
data. | d. | Because the distribution is high in the middle, and the data are about evenly
distributed on both sides, the distribution is symmetric. So, the mean best represents the center of
the data and the standard deviation best represents the spread of the
data. |
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5.
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The scatter plot below shows the number of passengers and the amount of cargo
(in pounds) carried on a ferry boat on each trip it takes.  Which of the
following statements is NOT true? a. | The trip that had 45 passengers carried 1000 pounds of
cargo. | b. | As the number of passengers carried by the ferry increases, the weight of the cargo
decreases. | c. | The trip that carried 2000 pounds of cargo had 35 passengers. | d. | As the weight of the
cargo increases, the number of passengers carried by the ferry
increases. |
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6.
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What equation best models the data in the table below? x | –4 | –3 | –2 | –1 | 0 | 1 | 2 | 3 | 4 | y | 21 | 26 | 21 | 20 | 19 | 22 | 14 | 14 | 10 | | | | | | | | | | |
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7.
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You randomly survey students in your school. You ask whether or not they can
swim. You display your results in the two-way table below. | | | Can Swim | | | | Yes | No | Gender | Male | 35 | 23 | Female | 26 | 14 | | | | |
Which of
the following statements is true? a. | The number of female students who cannot swim is more than the number of male
students who can swim. | b. | More students can swim than cannot swim.
| c. | More female students were surveyed than male students. | d. | The total number of
students surveyed is 103. |
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Other
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8.
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Extended Response The double box-and-whisker plot compares the average
monthly rainfall (in inches) of two towns. a. Identify the shape of each
distribution.
b. What is the range of the upper 75% of each
town?
c. Compare the interquartile ranges of the two data
sets.
d. Which town’s average monthly rainfall is more spread
out?
  Rainfall (inches)
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