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45. estimating sd the figure below shows two normal curves, both with m…

Question

  1. estimating sd the figure below shows two normal curves, both with mean 0. approximately what is the standard deviation of each of these curves?

Explanation:

Step1: Recall normal - curve property

For a normal curve, about 68% of data lies within 1 standard - deviation of the mean.

Step2: Estimate from the graph

The flatter curve has about 68% of data from approximately - 1 to 1, so its SD is about 1. The taller curve has about 68% of data from approximately - 0.4 to 0.4, so its SD is about 0.4.

Answer:

Taller curve: 0.4; Flatter curve: 1