Strand: STATISTICS AND PROBABILITY (6.SP)

Develop understanding of statistical variability of data (Standards 6.SP.1–3). Summarize and describe distributions (Standards 6.SP.4–5).

Standard 6.SP.5

Summarize numerical data sets in relation to their context, such as by:

• Average Number of Siblings
The goal of this task is to compare the mean and median in a context where the data is slightly skewed to the right.
• Box Plot and Five Number Summaries
An understanding of the terms minimum, maximum, median, and quartiles is the focus of this lesson. Students first use the interactive to compare different representations, then learn how to create a visual representation of data. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Chapter 4 - Mathematical Foundations (UMSMP)
This is Chapter 4 of the Utah Middle School Math: Grade 6 textbook. It provides a Mathematical Foundation for Fluency.
• Chapter 4 - Student Workbook (UMSMP)
This is Chapter 4 of the Utah Middle School Math: Grade 6 student workbook. It covers the following topics: Statistics.
• Comparing Test Scores
The goal of this task is to critically compare the center and spread of two data sets.
• Data Analysis Using Mean, Median, Mode, and Range
There are 4 videos in this lesson helping students learn about mean, median, mode and range. The classroom activity consists of a game in which students make attempts to get a pom-pom into a can. They collect the data about attempts. then calculate the mean, median, mode and range. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Data Organization and Representation: Weather Forecasting
In this lesson's video students see how a meteorologist organizes weather data for a presentation on-air. Students are then given sets of recent weather data which they must analyze to find the center and variability. They then predict the next day's temperature based on those statistics. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Electoral College
This task is intended to demonstrate that a graph can summarize a distribution as well as provide useful information about specific observations. With the table provided, the graph and values have context. The purpose of this task is to help students understand that a distribution can be described in terms of shape and center, and also to provide practice in selecting and calculating measures of center.
• Examining California's Prison System: Real-World Ratio
Using an infographic students look at such factors as age, gender and race to examine how the prison population in California compares to the general population. Students then apply an understanding of how they can find the value of a part by using a whole and a percent in order to look at how that can lead to recommendations for how to prevent crime. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Grade 6 Unit 6: Statistics (Georgia Standards)
In this unit students will: Analyze data from many different sources such as organized lists, box-plots, bar graphs, histograms and dot plots. Understand that responses to statistical questions may vary. Understand that data can be described by a single number. Determine quantitative measures of center (median and/or mean). Determine quantitative measures of variability (interquartile range and range).
• How Long Is a Minute?
This activity is designed to give students an understanding of arithmetic mean, median, and range of data sets. They practice using a virtual stopwatch in the interactive to estimate how long a minute is. They collect the data from repeat guesses and use that in the activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Line Plot Representation of Deviation from the Mean
The concepts of means and deviations are the focus of this interactive from Annenberg. Students manipulate dots on a line graph to experiments with deviation. The classroom activity helps them understand positive and negative deviation. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Math Homework Problems
The goal of this task is to calculate and interpret the Mean Absolute Deviation in a context. It is intended to be an introductory task but can readily be adapted for a more in depth study.
• Mean or Median?
The goal of this task is to examine advantages and disadvantages of the mean and median for summarizing a given data set.
• Puzzle Times
This is a simple task designed to assess students ability to construct a dot plot and to calculate and compare measures of center.
• Real-World Data Sets: Low- and High-Paying Jobs
Infographics with data about the highest and lowest paying jobs in the U.S. is the basis of this lesson. Students examine the data to find the disparity between the high and low rates and create box plots to represent the data. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Statistics and Probability (6.SP) - 6th Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 6 - Statistics and Probability.
In this task, students analyze a survey to decide how many candy bars students typically eat in a week.
In this task, students must help Suzi figure out the annual salary bill for her company and check some statistics about rates of pay.
• The Bell Curve
This lesson and activity introduces the student to the concept of the Bell Curve and distribution.
• The Hunger Games
By analyzing the lottery system used in the novel Hunger Games students will learn about probability. Students then create their own lottery system based on criteria from the novel in the accompanying classroom activity. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• The Median: Salary.com
By looking at the data on the website Salary.com students will understand the application of quartiles and percentiles to understand and compare salaries. In the activity students use data set about salaries to create box plots and look at pay differentials. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Using Graphs to Identify Patterns and Trends in US Immigrant Residency
Understanding where immigrants lived and how they moved is the focus of the info graphic used in this lesson. Students interpret the graph to understand the history of immigration in our country and look at patterns, trends and growth. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
• Variation About the Mean: The Boston Harbor Project
The use and statistical analysis of data in the efforts to improve the water quality in Boston Harbor is the subject of this video. Students then apply an understanding of mean absolute deviation to examine data. They also use data about bacteria found in a river in an analysis of what that data set tells. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.

http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen .

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.