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MAFS.912.S-ID.1.2

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Statistics & Probability: Interpreting Categorical & Quantitative Data
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Summarize, represent, and interpret data on a single count or measurement variable. (Algebra 1 - Additional Cluster) (Algebra 2 - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

Remarks/Examples

In grades 6 – 8, students describe center and spread in a data distribution. Here they choose a summary statistic appropriate to the characteristics of the data distribution, such as the shape of the distribution or the existence of extreme data points.

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark will be assessed using: ETC , MI item(s)
  • Also assesses:
    MAFS.912.S-ID.1.3

  • Assessment Limits :
    Items may require the student to calculate mean, median, and
    interquartile range for the purpose of identifying similarities and
    differences.

    Items should not require the student to calculate the standard
    deviation.

    Items should not require the student to fit normal curves to data.

    Data distributions should be approximately normal.

    Data sets should be real-world and quantitative. 

  • Calculator :

    Neutral

  • Clarification :
    Students will identify similarities and differences in shape, center, and
    spread when given two or more data sets.

    Students will predict the effect that an outlier will have on the shape,
    center, and spread of a data set.

    Students will interpret similarities and differences in shape, center,
    and spread when given two or more data sets within the real-world
    context given.

  • Stimulus Attributes :
    In items that require standard deviation, the value should be given in
    the stem.

    Items should use real-world data and be set in a real-world context.



     

  • Response Attributes :
    Items may require the student to apply the basic modeling cycle.

    Items may require the student to choose an appropriate level of
    accuracy.

    Items may require the student to choose and interpret the scale in a
    graph.

    Items may require the student to choose and interpret units.

    Items should not require the student to determine whether a
    distribution is left- or right-skewed.

SAMPLE TEST ITEMS (2)

  • Test Item #: Sample Item 1
  • Question:

    Florida has 67 counties, and Texas has 254 counties.

    The mean population for the state of FLorida by county is 291,834 with a standard deviation of 467,012.03, and the median is 107,056.

    The mean population for the state of Texas by county is 104,127 with a standard deviation of 374,012.2261, and the median is 18,293.

    Some of the data for both states are shown.

    A business moves its corporate location from Texas to Florida. As a result of the move, 8,193 people move from the largest Texas county to the smallest Florida county, in terms of population.

    Select all the population statistics that wil be affected by this population change.

  • Difficulty: N/A
  • Type: MI: Matching Item

  • Test Item #: Sample Item 2
  • Question:

    A librarian in a large city collects data about his summer reading program. He collects data for two years, 2011 and 2012, on how many books are read each week. His ordered data sets are shown.

    The librarian writes a summary about his data, as shown.

    Click on each blank and select the appropriate word or phrase to complete the librarian's summary.

  • Difficulty: N/A
  • Type: ETC: Editing Task Choice