Chapter 12.1, Problem 20PPS

a.

To determine

To write: A question to be answered through a survey. Also, describe the method used to gather the data, and explain the reason for choosing the method,

Answer to Problem 20PPS

Survey: Means of transport that students in a class take.

Explanation of Solution

Question: Means of transport that students in the class take to reach school.

Method: Every second person coming to the class is asked to name the means of transport they use to come to school.

Reason for choosing the method: The method is unbiased as sample is selected at random.

b.

To determine

To devise: A method to conduct the survey using an unbiased sample.

Answer to Problem 20PPS

Method: Every second person coming to the class is asked to name the means of transport they use to come to school.

Explanation of Solution

Method: Every second person coming to the class is asked to name the means of transport they use to come to school.

Reason for choosing the method: The method is unbiased as sample is selected at random.

Reason for choosing the sample: It is easy to ask people of the same class to name their means of transport. Also the population is limited and the sample can be large thus helping to get accurate results.

c.

To determine

To conduct: The survey.

Answer to Problem 20PPS

The result of the survey is as follows:

School bus- $11$

Bicycle- $8$

Car- $4$

Walking- $7$

Explanation of Solution

The sample is $30$ students.

The result of the survey is as follows:

School bus- $11$

Bicycle- $8$

Car- $4$

Walking- $7$

d.

To determine

To record: The results in a table.

Answer to Problem 20PPS

The results are:

  

Explanation of Solution

The results are:

  

d.

To determine

To graph: The result.

Answer to Problem 20PPS

The graph is obtained as follows:

  

Explanation of Solution

A graph can be obtained as follows: