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Exercise 1.6.1
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:
- What percentage of the students in your class has 0 siblings?
- What percentage of the students has from 1 to 3 siblings?
- What percentage of the students has fewer than 3 siblings?
Example 1.9
Nineteen people were asked how many miles, to the nearest mile they commute to work each day.
The data are as follows: 2; 5; 7; 3; 2; 10; 18; 15; 20; 7; 10; 18; 5; 12; 13; 12; 4; 5; 10
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 |
Problem
- Is the table correct? If it is not correct, what is wrong?
- True or False: Three percent of the people surveyed commute 3 miles. If the statement is not correct, what should it be? If the table is incorrect, make the corrections.
- What fraction of the people surveyed commute 5 or 7 miles?
- What fraction of the people surveyed commute 12 miles or more? Less than 12 miles? Between 5 and 13 miles (does not include 5 and 13 miles)?
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