Testinar Grade 6 math

Box Plots

Students will build Grade 6 mastery of box plots using models, equations, and test-style reasoning.

CH05-06 Statistics and Probability
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. A box plot shows the following five-number summary: minimum \(= 10\), Q\(_1=14\), median \(= 18\), Q\(_3=22\), maximum \(= 30\). What is the interquartile range (IQR)?

    1. \(4\)
    2. \(8\)
    3. \(12\)
    4. \(20\)

  2. Use the box plot below to find the median:

    Box Plots visual for G6-C05-T06-Q002
    1. \(2\)
    2. \(3\)
    3. \(5\)
    4. \(7\)

  3. Which value represents Q\(_1\) in the box plot shown?

    Box Plots visual for G6-C05-T06-Q003
    1. \(1.5\)
    2. \(2.5\)
    3. \(5.5\)
    4. \(9\)

  4. A dataset has Q\(_1=8\) and Q\(_3=20\). What is the range of the middle 50% of the data?

    1. \(8\)
    2. \(28\)
    3. \(20\)
    4. \(12\)

  5. Use the box plot below. What is the maximum value?

    Box Plots visual for G6-C05-T06-Q005
    1. \(1\)
    2. \(4\)
    3. \(6\)
    4. \(8.5\)

  6. Compare two box plots: Dataset A has median 50 and IQR 15; Dataset B has median 45 and IQR 20. Which statement is true?

    1. Dataset A has a higher center and less spread.
    2. Dataset A has a lower center and more spread.
    3. Both datasets have the same center.
    4. Dataset B is more skewed.

  7. A dataset has the five-number summary: min \(= 6\), Q\(_1=10\), median \(= 13\), Q\(_3=18\), max \(= 25\). Which represents the IQR?

    1. \(4\)
    2. \(8\)
    3. \(13\)
    4. \(19\)

  8. Use the box plot below to find the range of the entire dataset:

    Box Plots visual for G6-C05-T06-Q009
    1. \(1.5\)
    2. \(2\)
    3. \(4.5\)
    4. \(7.5\)
Teacher and parent reference

Answer key and explanations

  1. B. \(8\)

    IQR \(=\) Q\(_3-\)Q\(_1=22-14=8\).

  2. C. \(5\)

    The median is shown by the line inside the box of the box plot.

  3. B. \(2.5\)

    Q\(_1\) is the left edge of the box in the box plot.

  4. D. \(12\)

    The middle 50% is the IQR: Q\(_3-\)Q\(_1=20-8=12\).

  5. D. \(8.5\)

    The maximum is shown by the right whisker endpoint of the box plot.

  6. A. Dataset A has a higher center and less spread.

    Median measures center; IQR measures spread. Dataset A's median is higher and IQR is smaller (less spread).

  7. B. \(8\)

    IQR \(=\) Q\(_3-\)Q\(_1=18-10=8\).

  8. D. \(7.5\)

    Range \(=\) max \(-\) min \(= 8 - 0.5 = 7.5\).

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