If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?

Question

If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?​

BlackTom AI · Accepted Answer

When describing skewness, the direction of the long tail indicates the side toward which the tail extends.
Option a: negatively. A long tail projecting to the left means the tail is on the negative side of the distribution, which is the classic definition of negative skew.
Option b: positively. A tail to the right would indicate positive skew, not leftward tail, so this is incorrect here.
Option c: normally. A normal distribution is symmetric and bell-shaped with no extended tail to either side, so this does not describe the given skew.
Option d: symmetrically. Symmetry implies equal tails on both sides; since there is an elongated left tail, symmetry does not apply.
In summary, the left-extended tail directly corresponds to negative skew, making option a the correct choice in this scenario.

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View Explanation

Log in for full answers

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If the shape of a distribution is skewed, with a long tail projecting longer to the left than to the right, how would the distribution be skewed?