Standard 3: Summarizing Data (Descriptive Statistics)Archived

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Learn to work with summary measures of sets of data, including measures of the center, spread, and strength of relationship between variables. Learn to distinguish between different types of data and to select the appropriate visual form to present different types of data.
General Information
Number: MA.912.S.3
Title: Summarizing Data (Descriptive Statistics)
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Statistics

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.912.S.3.In.a
Describe information in bar graphs, circle graphs, and single-line graphs representing data from real-world situations.
MA.912.S.3.In.b
Collect data and display in single-line graphs, circle graphs, and bar graphs.
MA.912.S.3.In.c
Determine the mode by identifying the number that occurs most often and the mean by finding the average.
MA.912.S.3.In.d
Calculate the range and median for data from real-world situations.

Supported

MA.912.S.3.Su.a
Identify information in simple pictographs and bar graphs that represent data from real-world situations.
MA.912.S.3.Su.b
Organize data in pictographs and bar graphs and identify the labels for categories.
MA.912.S.3.Su.c
Identify the number that occurs most frequently (mode) in a set of data with up to nine numbers.
MA.912.S.3.Su.d
Find the difference between the largest and smallest numbers in a set of data (range) and the median in a real-world situation.

Participatory

MA.912.S.3.Pa.a
Identify quantity in data sets of 10 by counting objects, pictures, or symbols and identify which category has more, less, or none.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Lesson Plan

Radioactive Decay: Is It Safe for Us to Stay?:

Students will collect data using inexpensive split peas and black beans in order to model how to calculate the amount of a radioactive element remaining after a specific number of half-lives have passed. Students will then use this data to outline and create a response to a scenario-based writing prompt.

Type: Lesson Plan

Tutorial

MIT BLOSSOMS - Flaws of Averages:

This learning video presents an introduction to the Flaws of Averages using three exciting examples: the "crossing of the river" example, the "cookie" example, and the "dance class" example. Averages are often worthwhile representations of a set of data by a single descriptive number. The objective of this module, however, is to simply point out a few pitfalls that could arise if one is not attentive to details when calculating and interpreting averages. Most students at any level in high school can understand the concept of the flaws of averages presented here. The essential prerequisite knowledge for this video lesson is the ability to calculate an average from a set of numbers. Materials needed include: pen and paper for the students; and a blackboard or equivalent. During this video lesson, students will learn about three flaws of averages: (1) The average is not always a good description of the actual situation, (2) The function of the average is not always the same as the average of the function, and (3) The average depends on your perspective. To convey these concepts, the students are presented with the three real world examples mentioned above. The total length of the four in-class video segments is 12 minutes, leaving lots of time in a typical class session for the teacher to work with the students on their own learning examples (such as those from the supplementary notes) to firm up the ideas presented here on the flaws of averages.

Type: Tutorial

Virtual Manipulative

Histogram Tool:

This virtual manipulative histogram tool can aid in analyzing the distribution of a dataset. It has 6 preset datasets and a function to add your own data for analysis.

Type: Virtual Manipulative

Student Resources

Vetted resources students can use to learn the concepts and skills in this topic.

Virtual Manipulative

Histogram Tool:

This virtual manipulative histogram tool can aid in analyzing the distribution of a dataset. It has 6 preset datasets and a function to add your own data for analysis.

Type: Virtual Manipulative

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this topic.