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 - Vocabulary and Skill Building - Page 73: 2

Answer

NUMBER PROPORTION

Work Step by Step

Let's take an example along with explanations: We have a list of letters as follows $$j, o, d, s, a, o, j, m, o, i, x$$ Remember that when we find the frequency distribution, we count HOW MANY TIMES that a category of data occurs among all the raw data. For example, in the list above, the letter $j$ occurs 2 times. So we say that the frequency distribution of $j$ is 2. Therefore, the frequency distribution lists the NUMBER of occurrences of each category of data. However, when we find the relative frequency distribution, we take the frequency distribution of a category data and DIVIDE IT BY the sum of ALL FREQUENCIES to get the proportion of observations within a category. Again, look at the list above. It contains in total $11$ letters. As counted before, the frequency of letter $j$ is $2$. Therefore, the relative frequency distribution of letter $j$ is $\frac{2}{11}$. So, the relative frequency distribution lists the PROPORTION of occurrences of each category of data.
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