Question

1. Driving under the influence of alcohol (DUI) is a serious offense. The following data give the ages, in order,
of a random sample of 50 drivers arrested while driving under the influence of alcohol. This distribution is based on the age distribution of DUI arrests given in the Statistical Abstract of the United States (112th Edition).

16 18 20 21 21 22 22 22 23 24 24 25 26 26 26 27 27 27 29 30 30 31 31 32 33 34 34 35 35 36 37 38 39 40 40 41 43 45 46 47 47 49 49 51 53 55 56 58 63 64

a) Make a stem-and-leaf display of the age distribution.
Hint: Use the tens digit as the stem and the ones digit as the leaf.

b) Make a frequency table, like the one below, using seven classes.
Hint: First find the class width. Remember to increase it to the next highest whole number.

	Frequency Table
Class Limits		Class Boundaries		Midpoint	Frequency	Relative Frequency	Cumulative Frequency

c) Make a histogram using the class boundaries.
d) Using the histogram from part c, draw a relative frequency histogram.

e) Identify the shape of the distribution. Is it uniform, skewed left, skewed right, or bimodal?

f ) Using the cumulative frequency, draw an ogive.
g) In one or two sentences, discuss how this data might be used to price auto insurance for different age groups.

Answer 1

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