One-Variable Data: Distributions and Measures of Center and Spread

SAT Math· difficulty 5/5

A data set of 100 exam scores has mean 75, median 78, and SD 12. Which statement is most reasonable?

  • A

    The distribution is slightly left-skewed (mean < median).

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  • B

    All scores are above 75.

  • C

    The distribution is exactly symmetric.

  • D

    All scores fall within 12 points of the mean.

Explanation

Mean (75) less than median (78) suggests left-skew (some low outliers pulling the mean down). The other options overgeneralize.

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