Questions: Consider the following three distributions. (a) (b) (c) Of the two normal distributions, which has the larger standard deviation?

Consider the following three distributions. (a) (b) (c) Of the two normal distributions, which has the larger standard deviation?
Transcript text: Consider the following three distributions. (a) (b) (c) Of the two normal distributions, which has the larger standard deviation?
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Solution

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Solution Steps

Step 1: Identify the normal distributions

Distributions (a) and (b) are normal distributions. Distribution (c) is not a normal distribution because it is not bell-shaped.

Step 2: Compare the standard deviations

The standard deviation of a normal distribution is related to the spread or width of the curve. A larger standard deviation corresponds to a wider curve. Distribution (b) is wider than distribution (a).

Final Answer: The final answer is $\boxed{b}$

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