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Chapter 2: Q.45 (page 131)

Estimating SD The figure at top right shows two Normal curves, both with mean 0. Approximately what is the standard deviation of each of these curves?

Short Answer

Expert verified

The standard deviation is approximately (0.6)-(-0.6)6=0.2for the tall, more concentrated one. And (1.5)-(-1.5)6=0.5for the short.

Step by step solution

01

Given Information

It is given in the question that, the figure shows two Normal curves, both with a mean of 0.

02

Step 2: Explanation

According to the graph, a normal distribution has a range of values of about six standard deviations.

This tall, concentrated one has a standard deviation of approximately (0.6)-(-0.6)6=0.2and the short, less concentrated one has a standard deviation of approximately(1.5)-(-1.5)6=0.5

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