Testinar Grade 6 math

Describing Data: Center, Spread, and Shape

Students will build Grade 6 mastery of describing data: center, spread, and shape using models, equations, and test-style reasoning.

CH05-02 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. Which of the following describes the CENTER of a data set?

    1. Range
    2. Median
    3. Interquartile range
    4. Maximum value

  2. What is the mean of the data set: \(3, 5, 7, 9, 11\)?

    1. 5
    2. 11
    3. 9
    4. 7

  3. Find the median of: \(2, 8, 4, 6, 10, 5, 3\).

    1. 4
    2. 5
    3. 6
    4. 7

  4. Which measure describes the SPREAD of a data set?

    1. Mean
    2. Median
    3. Range
    4. Mode

  5. What is the range of the data set: \(12, 28, 5, 45, 19\)?

    1. 5
    2. 12
    3. 40
    4. 45

  6. What is the mode of: \(1, 2, 2, 3, 3, 3, 4\)?

    1. 3
    2. 2
    3. 1
    4. 4

  7. The dot plot below shows the number of books read by students in one month. What is the median number of books read?

    Describing Data: Center, Spread, and Shape visual for G6-C05-T02-Q007
    1. 3
    2. 4
    3. 5
    4. 6

  8. A data set has a mean of 15 and a median of 12. What does this tell us about the shape of the data?

    1. The data is symmetric
    2. The data is bimodal
    3. The data is skewed left
    4. The data is skewed right
Teacher and parent reference

Answer key and explanations

  1. B. Median

    Measures of center include the mean and median. Range, interquartile range, and maximum describe the spread or extremes of the data.

  2. D. 7

    Sum = \(3 + 5 + 7 + 9 + 11 = 35\). Mean = \(35 \div 5 = 7\).

  3. B. 5

    Order the data: \(2, 3, 4, 5, 6, 8, 10\). The middle value is the 4th value, which is 5.

  4. C. Range

    Spread measures include range, interquartile range (IQR), and mean absolute deviation (MAD). Mean and median are measures of center; mode is the most frequent value.

  5. C. 40

    Range = Maximum \(-\) Minimum = \(45 - 5 = 40\).

  6. A. 3

    The mode is the value that appears most often. The value 3 appears three times.

  7. A. 3

    Data: \(2, 2, 3, 3, 3, 4, 4, 5, 6, 6\) (10 values). Median is average of 5th and 6th values: \((3 + 3) / 2 = 3\).

  8. D. The data is skewed right

    When mean > median, the data is skewed right. The mean is pulled toward the larger outliers on the right.

Free Testinar sample Reviewed November 6, 2026 testinar.com
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