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Chapter 1: Q 123. (page 79)
If a distribution is skewed to the right with no outliers, which expression is correct?
(a) mean < median
(b) mean ≈ median
(c) mean = median
(d) mean > median
(e) We can’t tell without examining the data.
Option (d) mean > median is correct option.
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Die rolls Imagine rolling a fair, six-sided die 60 times. Draw a plausible graph of the distribution of die rolls. Should you use a bar graph or a histogram to display the data?
A smash or a hit Refer to Exercise 23.
(a) Find the distribution of responses about whether there was broken glass at the accident for each of the three treatment groups. Make a segmented bar graph to compare these distributions.
(b) Describe what the graph in part (a) reveals about the association between response about broken glass at the accident and treatment received for the subjects in the study.
Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student’s country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table.
(a) What proportion of students in the sample are from the United States?
(b) Find the distribution of superpower preference for the students in the sample using relative frequencies.
(c) What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?
Feeling sleepy? Students in a high school statistics class responded to a survey designed by their teacher. One of the survey questions was “How much sleep did you get last night?” Here are the data (in hours):
Part (a). Make a dotplot to display the data.
Part (b). Experts recommend that high school students sleep at least 9 hours per night. What proportion of students in this class got the recommended amount of sleep?
When comparing two distributions, it would be best to use relative frequency histograms rather than frequency histograms when
a. the distributions have different shapes.
b. the distributions have different amounts of variability.
c. the distributions have different centers.
d. the distributions have different numbers of observations.
e. at least one of the distributions has outliers
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