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Chapter 2: Q.46 (page 131)

A Normal curve Estimate the mean and standard deviation of the Normal density curve in the figure below:

Short Answer

Expert verified

From the graph, we can calculate the mean is 10and the standard deviation is 2

Step by step solution

01

Given Information

A normal density curve is given in the question.

02

Explanation

It observed that the inflection points are 8and 12from the given graph.

So, 渭+蟽=12.

A peak value of 10is also shown in the graph, this represents the mean.渭=10.

We can determine the standard deviation by using the below equation.

渭+蟽=12鈬�10+蟽=12鈬�蟽=2

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Another student in the class, Brent, is 74 inches tall. How tall is Brent compared with the rest of the class? Give appropriate numerical evidence to support your answer.

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