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Frequency Distribution Worksheet
Probability & Statistics
- The number of hours taken by transmission mechanics to remove, repair, and replace transmissions in one of the Transmission Fix-It stores one day last week are recorded as follows:
2.9 3.4 5.4 3.6 2. 4.4 5.4 3.2 4.6 3. 2.3 3.3 6.7 2.2 4. 5.5 3.3 6.7 8.7 4.
Construct a frequency distribution with 10 intervals of 1.0 hours from the table of data. If the management believes that more than 6.0 hours is evidence of unsatisfactory performance, does it have a major or minor problem with performance in this particular store?
- Here are the ages of 50 members of a county social service program:
81 53 67 60 80 64 56 54 91 61 66 88 67 65 52 72 74 65 73 69 43 54 76 70 97 68 82 75 79 60 39 87 76 97 86 45 60 43 65 76 92 72 82 80 70 65 50 58 70 56
7-Interval
13-Interval
Use this data to construct relative frequency distributions using 7 equal intervals and 13 equal intervals. State policies on social service programs require approximately 40 percent of the program participants to be older than 50.
a. Is the program in compliance with the policy?
b. Does your 13-interval relative frequency distribution help you answer part a better then your 7-interval distribution?
c. Suppose the director of social services wanted to know the proportion of program participants between 45-80 years old. Could you estimate the answer better for her better with a 7- or a 13-interval relative frequency distribution
- The president of Ocean Airlines is trying to estimate when the Civil Aeronautics Board (CAB) is most likely to rule on the company’s application for a new route between Charlotte and Nashville. Assistants to the president have assembled the following waiting times for applications filed during the past year. The data are given in days from the date of application until a CAB ruling:
32 38 26 29 32 41 28 31 45 36 45 35 40 30 31 40 27 33 28 30 30 41 39 38 33 35 31 36 37 32 23 45 39 37 38 36 33 35 42 38 34 22 37 43 52 32 35 30 46 36
a. Construct a relative frequency distribution using 10 intervals. Which interval occurs most often?
b. Construct a relative frequency distribution using 5 intervals. Which interval occurs most often?
