Which statement about the normal distribution is incorrect?

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Multiple Choice

Which statement about the normal distribution is incorrect?

Explanation:
The normal distribution is symmetric around its mean, has a single peak (unimodal), and is continuous, so its skewness is zero. The statement that it is skewed misstates this symmetry. In a skewed distribution, one tail is longer than the other, indicating asymmetry, which the normal distribution does not have. If you recall the bell-shaped probability density function, swapping x with 2μ − x yields the same value, illustrating its symmetry. This is why the incorrect statement is that it is skewed.

The normal distribution is symmetric around its mean, has a single peak (unimodal), and is continuous, so its skewness is zero. The statement that it is skewed misstates this symmetry. In a skewed distribution, one tail is longer than the other, indicating asymmetry, which the normal distribution does not have. If you recall the bell-shaped probability density function, swapping x with 2μ − x yields the same value, illustrating its symmetry. This is why the incorrect statement is that it is skewed.

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