Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 6 - Section 6.1 - Assess Your Understanding - Vocabulary and Skill Building - Page 329: 4

Answer

In a probability experiment there are some possible values for the variable X. If, the experiment is repeated a large number of times, we expect an average value for the variable X. This value is called the mean (or expected value).

Work Step by Step

Let $μ_X$ be the mean (or expected value). Let $x_1$ be the value for X obtained in the first experiment. Let $x_2$ be the value for X obtained in the second experiment. . . . And so on. Let $n$ be a large number. If you repeat the experiment n times, it is expected that: $\frac{Σx_i}{n}=\frac{x_1+x_2+...+x_n}{n}\approxμ_X$
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