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Chapter 1: Problem 17

In a survey of 100 people who had recently purchased motorcycles, data on the following variables were recorded: Gender of purchaser Brand of motorcycle purchased Number of previous motorcycles owned by purchaser Telephone area code of purchaser Weight of motorcycle as equipped at purchase a. Which of these variables are categorical? b. Which of these variables are discrete numerical? c. Which type of graphical display would be an appropriate choice for summarizing the gender data, a bar chart or a dotplot? d. Which type of graphical display would be an appropriate choice for summarizing the weight data, a bar chart or a dotplot?

Short Answer

Expert verified
a. The categorical variables are: 'Gender of purchaser', 'Brand of motorcycle purchased', 'Telephone area code of purchaser'. \nb. The discrete numerical variable is: 'Number of previous motorcycles owned by purchaser'. \nc. For the gender data, a bar chart would be appropriate. \nd. For the weight data, a dot plot would be appropriate.

Step by step solution

01

Classify Variables

First, let's classify the given variables into categorical and numerical. \n\nGender of purchaser: As gender is usually classified in categories like male or female, it's a categorical variable.\n\nBrand of motorcycle purchased: The brands would fall under various categories hence this is a categorical variable.\n\nNumber of previous motorcycles owned by the purchaser: This variable involves numbers and is thus a numerical variable. Being countable, it's discrete.\n\nTelephone area code of purchaser: Even though area codes are numbers, they represent a category of regions, so it's a categorical variable.\n\nWeight of motorcycle as equipped at purchase: Weight is a numerical variable. Given that weight can have decimal places, this could be perceived as continuous.
02

Choose Graph for Gender Data

Since gender is a categorical variable, a bar chart would be appropriate for summarizing the gender data.
03

Choose Graph for Weight Data

Weight of motorcycle is a numerical variable. A dot plot would be more suitable for summarizing the weight data.

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