Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 2 - Section 2.1 - Assess Your Understanding - Applying the Concepts - Page 75: 14a

Answer

The relative frequency distribution is shown below.

Work Step by Step

First, we calculate the total number of answers, which is also the total frequencies of all responses. $$249+118+249+345+716+3093=4770$$ Then, we need to calculate the relative frequency of each response, following the formula $$\text{Relative frequency}=\frac{\text{frequency}}{\text{total frequencies}}$$ - 'I do not drive a car' response: $$\frac{249}{4770}\approx0.05$$ - 'Never' response: $$\frac{118}{4770}\approx0.02$$ - 'Rarely' response: $$\frac{249}{4770}\approx0.05$$ - 'Sometimes' response: $$\frac{345}{4770}\approx0.07$$ - 'Most of the time' response: $$\frac{716}{4770}\approx0.15$$ - 'Always' response: $$\frac{3093}{4770}\approx0.65$$ Finally, we set up a table comprising of 2 sections: responses and relative frequencies then fill in the data. An example of a relative frequency distribution is below.
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