Skewness indicates whether a distribution is symmetric around the mean or whether one tail is stretched out more than the other. Positive skewness means the tail is longer on the right side with more high-end outliers, while negative skewness means the tail is longer on the left. Assessing skewness helps determine whether parametric tests that assume normality are appropriate or whether transformations might be needed. Therefore, the statistic described in the stem is correctly called skewness.
Option A:
Kurtosis refers to the peakedness or flatness of a distribution relative to normal, not the degree of asymmetry between tails. Although related to distribution shape, it addresses a different aspect than the one in the stem.
Option B:
Skewness summarises how scores pile up toward one side of the mean and taper off on the other, affecting measures like mean and standard deviation. When skewness is large, median and non-parametric methods may give more robust results. These features match the description of asymmetry in the stem, so this option is correct.
Option C:
Variability is a general term for spread in data and is quantified by measures like variance and standard deviation; it does not specifically capture tail asymmetry.
Option D:
Central tendency statistics such as mean or median describe typical values, not the balance of tails, so central tendency is not the correct term here.
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