Problems

Income (thousands of dollars)
38	39	50	49	36	43	45	38	42	42
49	45	24	52	53	30	71	35	35	38

Problem 1.Using Table 1, answer the following questions. The data set represents the incomes (in thousands of dollars) of a sample of 20 employees at a company.

a. Find the range, mean, median, and mode of the data set.

• Range:
• Mean:
• Median:
• Mode:

b. Construct a frequency distribution for the data set using 5 classes. Include the midpoints, frequency, and relative frequency.Fill in Table 2.

Class	Tally	Frequency	Midpoint	Relative Frequency

c. Make a relative frequency histogram.Use graph paper and use the frequency distribution created in part b. Which class has the greatest relative frequency and which has the least relative frequency (Record your answers in Table 3.)?

Least Relative Frequency	Greatest Relative Frequency

2. Use Table 4 to answer the questions.The table shows the results of a survey in which men and women workers ages 25 to 64 were asked if they have at least one month's income set aside for emergencies.

	Men	Women	Total
Less than one month's income	89	72	161
One month's income or more	96	87	183
Total	185	159	344

a.Find the probability that a randomly selected worker has one month's income or more set aside for emergencies.

b.Given that a randomly selected worker is a male, find the probability that a worker has less than one month's income set aside for emergencies.

c.Given that a randomly selected worker has one month's income or more set aside for emergencies, find the probability that the worker is a female.

d.Are the events "having less than one month's income saved" and "being male" independent or dependent? Explain.

3. Use the following information for problems 3a-3c.The percentage distribution of the number of occupants in vehicles traveling down a highway is shown in the pie chart (see Figure 1). (source: Washington State Department of Transportation.)

Figure 1. Pie Chart: The percentage distribution of the number of occupants in vehicles traveling down a highway

Two 28% Three 10% One 58%