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Optional Collaborative Classroom Exercise

26 July, 2019 - 12:02
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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:

  1. What percentage of the students in your class has 0 siblings?
  2. What percentage of the students has from 1 to 3 siblings?
  3. 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:

Table 1.11 Frequency of Commuting Distances
DATA FREQUENCY RELATIVE FREQUENCY CUMULATIVE RELATIVE FREQUENCY
3 3 \frac{3}{19} 0.1579
4 1 \frac{1}{19} 0.2105
5 3 \frac{3}{19} 0.1579
7 2 \frac{2}{19} 0.2632
10 3 \frac{4}{19} 0.4737
12 2 \frac{2}{19} 0.7895
13 1 \frac{1}{19} 0.8421
15 1 \frac{1}{19} 0.8948
18 1 \frac{1}{19} 0.9474
20 1 \frac{1}{19} 1.0000
 
Problem
  1. Is the table correct? If it is not correct, what is wrong?
  2. 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.
  3. What fraction of the people surveyed commute 5 or 7 miles?
  4. 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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