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: 13a

Answer

The relative frequency distribution is shown in the image below.

Work Step by Step

To construct a relative frequency distribution, first, we need to calculate the total frequencies, which is the total number of responses received from the college students. To do so, we sum up all the frequencies of the responses mentioned in the table: $$125+324+552+1257+2518=4776.$$ Then, we calculate the relative frequency of a response according to the following formula $$\text{Relative frequency}=\frac{\text{frequency}}{\text{total frequencies}}$$ - Never: $$\frac{125}{4776}\approx0.03$$ - Rarely: $$\frac{324}{4776}\approx0.07$$ - Sometimes: $$\frac{552}{4776}\approx0.12$$ - Most of the time: $$\frac{1257}{4776}\approx0.26$$ - Always: $$\frac{2518}{4776}\approx0.53$$ Finally, we construct a relative frequency distribution which includes every response and its relative frequency. Such a distribution is exemplified in the image below.
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