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In this sample, there are 5 players whose heights are between 59.95 - 61.95 inches, 3 players whose heights fall within the interval 61.95 - 63.95 inches, 15 players whose heights fall within the interval 63.95 - 65.95 inches, 40 players whose heights fall within the interval 65.95 - 67.95 inches, 17 players whose heights fall within the interval 67.95 - 69.95 inches, 12 players whose heights fall within the interval 69.95 - 71.95, 7 players whose height falls within the interval 71.95 - 73.95, and 1 player whose height falls within the interval 73.95 - 75.95. All heights fall between the endpoints of an interval and not at the endpoints.
From the table, find the percentage of heights that are less than 65.95 inches.
If you look at the first, second, and third rows, the heights are all less than 65.95 inches. There are 5 + 3 + 15 = 23 males whose heights are less than 65.95 inches. The percentage of heights less than 65.95 inches is then or 23%. This percentage is the cumulative relative frequency entry in the third row.
From the table, find the percentage of heights that fall between 61.95 and 65.95 inches.
Add the relative frequencies in the second and third rows: 0.03 + 0.15 = 0.18 or 18%.
Use the table of heights of the 100 male semiprofessional soccer players. Fill in the blanks and check your answers.
Remember, you count frequencies . To find the relative frequency, divide the frequency by the total number of data values. To find the cumulative relative frequency, add all of the previous relative frequencies to the relative frequency for the current row.
In your class, have someone conduct a survey of the number of siblings (brothers and sisters) each student has. Create a frequency table. Add to it a relative frequency column and a cumulative relative frequency column. Answer the following questions:
Nineteen people were asked how many miles, to the nearest mile they commute to work each day. The data are as follows:
The following table was produced:
| DATA | FREQUENCY | RELATIVE
FREQUENCY |
CUMULATIVE
RELATIVE FREQUENCY |
|---|---|---|---|
| 3 | 3 | 0.1579 | |
| 4 | 1 | 0.2105 | |
| 5 | 3 | 0.1579 | |
| 7 | 2 | 0.2632 | |
| 10 | 3 | 0.4737 | |
| 12 | 2 | 0.7895 | |
| 13 | 1 | 0.8421 | |
| 15 | 1 | 0.8948 | |
| 18 | 1 | 0.9474 | |
| 20 | 1 | 1.0000 |
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