Which are the key properties of a normal distribution?

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Multiple Choice

Which are the key properties of a normal distribution?

The normal distribution is defined by its symmetry and bell shape, centered at the mean and with spread determined by the standard deviation. Because of that symmetry, the mean, median, and mode all coincide, and the curve is completely specified by two parameters: mu (the center) and sigma (the spread). This combination—symmetric, bell-shaped, with mean equal to median equal to mode and defined by mu and sigma—captures the essence of the normal distribution. The other statements describe features that do not apply to a normal distribution, such as heavy tails, skewness, or a fixed skew direction.

The normal distribution is defined by its symmetry and bell shape, centered at the mean and with spread determined by the standard deviation. Because of that symmetry, the mean, median, and mode all coincide, and the curve is completely specified by two parameters: mu (the center) and sigma (the spread). This combination—symmetric, bell-shaped, with mean equal to median equal to mode and defined by mu and sigma—captures the essence of the normal distribution. The other statements describe features that do not apply to a normal distribution, such as heavy tails, skewness, or a fixed skew direction.

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