The graph below shows three different normal distributions.

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Question:

The graph below shows three different normal distributions.

Which statement must be true?
Each distribution has a different mean and the same standard deviation.
Each distribution has a different mean and a different standard deviation.
Each distribution has the same mean and the same standard deviation.
Each distribution has the same mean and a different standard deviation.

Answer:

The graph below shows three different normal distributions.

Which statement must be true?

Answer: The correct option will be “Each distribution has the same mean and a different standard deviation.”

The spread in the given normal curves is due to different standard deviation. The mean for all the three curves lies at the center of the curve.

Therefore, each distribution has the same mean and a different standard deviation.

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