Kurtosis measures the heaviness of tails; no kurtosis corresponds to a value of 3; to make it intuitive, subtract 3 so no kurtosis yields 0.

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Multiple Choice

Kurtosis measures the heaviness of tails; no kurtosis corresponds to a value of 3; to make it intuitive, subtract 3 so no kurtosis yields 0.

Explanation:
Kurtosis is the right concept because it specifically describes how heavy or light the tails of a distribution are and how sharp the peak is, relative to a normal shape. The normal distribution has a kurtosis value of 3. For intuition, statisticians often use excess kurtosis, which is kurtosis minus 3, so a normal distribution yields 0. Values above 0 indicate heavier tails and a more pronounced peak (leptokurtic), while values below 0 indicate lighter tails and a flatter peak (platykurtic). Skewness would tell you about asymmetry, not tail heaviness, and variance or standard deviation measure spread around the mean, not the tail behavior.

Kurtosis is the right concept because it specifically describes how heavy or light the tails of a distribution are and how sharp the peak is, relative to a normal shape. The normal distribution has a kurtosis value of 3. For intuition, statisticians often use excess kurtosis, which is kurtosis minus 3, so a normal distribution yields 0. Values above 0 indicate heavier tails and a more pronounced peak (leptokurtic), while values below 0 indicate lighter tails and a flatter peak (platykurtic). Skewness would tell you about asymmetry, not tail heaviness, and variance or standard deviation measure spread around the mean, not the tail behavior.

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