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Descriptive Statistics Flashcards

7 cards from real AP practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A dataset has a mean of 50 and a standard deviation of 10. What is the z-score of the value 35?

    Answer: -1.5

    z = (35 - 50) / 10 = -15/10 = -1.5.

  2. Which measure of spread is most affected by extreme outliers?

    Answer: Range

    The range uses only the minimum and maximum values, so a single extreme outlier directly changes it.

  3. In a right-skewed distribution, which ordering is typically correct?

    Answer: Mean > Median > Mode

    Right skew pulls the mean toward the tail, so mean exceeds median, which exceeds mode.

  4. A five-number summary shows Min=10, Q1=25, Median=40, Q3=55, Max=100. What is the IQR?

    Answer: 30

    IQR = Q3 - Q1 = 55 - 25 = 30.

  5. Which graphical display is best for comparing the distribution shapes of two groups side by side?

    Answer: Back-to-back stemplot

    A back-to-back stemplot shares a common stem and shows both distributions' shapes simultaneously.

  6. A student scores at the 84th percentile on a standardized test. This means:

    Answer: 84% of students scored at or below this student

    A percentile indicates the percentage of the distribution at or below the given score.

  7. If every value in a dataset is multiplied by 3, what happens to the standard deviation?

    Answer: It is multiplied by 3

    Multiplying all values by a constant c multiplies the standard deviation by |c|.