AP Statistics · Topic 1.5

Representing a Quantitative Variable with Graphs Practice

Part of Exploring One-Variable Data.(UNC-1.C)

Practice questions

4

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Sample questions

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  1. Sample 1difficulty 2/5

    Compared with a histogram, a stemplot

    • A

      Requires categorical data

    • B

      Cannot show shape

    • C

      Preserves individual data values

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    • D

      Loses individual values

    Why

    Stemplots keep raw values; histograms display only counts per bin.

  2. Sample 2difficulty 2/5

    Hours of sleep for 100 students were recorded and shown in the histogram.

    Number of Hours of Sleep 4 7 11

    Where is the mode (modal class)?

    • A

      Around 7 hours

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    • B

      Around 11 hours

    • C

      Around 4 hours

    • D

      Around 5 hours

    Why

    The tallest bar is centered near 7 hours, indicating the modal class.

  3. Sample 3difficulty 2/5

    A dotplot is best for

    • A

      Time series only

    • B

      Two categorical variables

    • C

      Small datasets where individual values are visible

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    • D

      Large datasets (1000s)

    Why

    Dotplots work best with small to moderate n; each value gets its own dot.

  4. Sample 4difficulty 3/5

    A teacher made the stemplot of scores from a 23-student class.

    Stemplot of Test Scores Stem | Leaf 5 | 2 5 6 | 0 3 7 8 7 | 1 2 4 5 6 8 9 8 | 0 1 3 4 5 7 9 | 2 4 Key: 5|2 = 52

    Which best describes the shape?

    • A

      Roughly symmetric, unimodal

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    • B

      Strongly skewed right

    • C

      Uniform

    • D

      Bimodal

    Why

    The leaf counts increase to a single peak in the 70s and decrease similarly on either side — roughly symmetric and unimodal.