You are the new warden in the Jessup Correctional Institution
PRACTICE PROBLEMS
CHAPTER 2: UNDERSTANDING DATA DISTRIBUTIONS WITH TABLES AND GRAPHS
1. The following data represent the age of first arrest for a sample of 50 boys. With this data, construct an ungrouped frequency distribution, and a percentage, cumulative frequency, and cumulative percentage distribution.
|11 |15 |10 |19 |15 |
|13 |11 |12 |10 |14 |
|10 |12 |11 |14 |13 |
|16 |15 |12 |11 |10 |
|13 |11 |14 |16 |11 |
|16 |15 |13 |11 |10 |
|12 |10 |13 |11 |10 |
|9 |16 |17 |15 |16 |
|15 |10 |11 |15 |12 |
|13 |13 |14 |11 |10 |
Using the distribution that you made, answer the following:
a. How many boys had their first arrest at age 13?
b. How many and what percentage of the boys had their first arrest by age 15 (before they were 16)?
c. What percentage of the boys had their first arrest between the ages of 14 and 18?
d. How many and what percentage of the boys had their first arrest before the age of 14?
e. What percentage of the boys had their first arrest after 15?
f. Graph the frequency data with a histogram.
2. The state of Maryland is interested in analyzing cases of domestic violence in order to increase the effectiveness of the law enforcement response to violence against women. In a study of 40 incidents of domestic assault reported to law enforcement agencies in Maryland, researchers collect information about the age of each victim.
|33 |26 |20 |26 |
|36 |26 |18 |36 |
|31 |33 |32 |35 |
|29 |22 |29 |38 |
|24 |29 |27 |26 |
|52 |37 |40 |24 |
|30 |48 |31 |32 |
|41 |43 |25 |34 |
|29 |31 |24 |58 |
|31 |40 |41 |24 |
Group these data into categories with an interval width of 4 (the first interval should begin at age 16. Calculate the stated class limits, real limits, midpoints, frequency, cumulative frequency, proportion, cumulative proportion, percentage and cumulative percentage distributions. Finally, graph the percentage data with a histogram using the interval midpoints on the x axis.
3. The following data represent the number of prior convictions by a sample of 65 convicted armed robbers.
# of Priors f
0 15
1 12
2 10
3 5
4 6
5 4
6 4
7 3
8 2
14 2
15 1
29 1
a. Graph the frequency distribution with a histogram.
b. Are these data normally distributed? How would describe the distribution?
c. Are there outliers in the data? Explain.
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