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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 distribution is described as having a median of 60 and a mean of 45. This distribution is most likely:

    Answer: Left-skewed

    When the mean is less than the median, the distribution is pulled left, indicating left skew.

  2. Which value is an outlier according to the 1.5×IQR rule if Q1=20, Q3=50?

    Answer: 95

    IQR=30, upper fence = 50 + 1.5(30) = 95; values above 95 are outliers, and 95 is exactly on the boundary — only values strictly beyond qualify, so 95 is borderline but 96+ would be outliers; among the choices, 95 is the only value near or beyond the fence.

  3. What does a boxplot's whisker typically extend to?

    Answer: The most extreme non-outlier value within 1.5×IQR of the box

    By convention, whiskers extend to the farthest data point that is still within 1.5×IQR of Q1 or Q3.

  4. A dataset contains values 2, 4, 4, 6, 8, 8, 8, 10. What is the mode?

    Answer: 8

    8 appears three times, more than any other value, making it the mode.

  5. If 5 is added to every data value in a set, which measure does NOT change?

    Answer: Standard deviation

    Adding a constant shifts all values equally, so spread measures like standard deviation remain unchanged.

  6. In a histogram, the class with the tallest bar represents the:

    Answer: Modal class

    The tallest bar indicates the interval with the highest frequency, which is the modal class.

  7. Which statistic is used to describe the typical distance of data values from the mean?

    Answer: Standard deviation

    Standard deviation measures the average spread of values around the mean.