Illustrative Math Alignment: Grade 6 Unit 8

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

Topic

Statistics and Probability

Definition

A histogram is a graphical representation of data distribution using bars of different heights.

Description

Histograms are a fundamental tool in statistics for visualizing the frequency distribution of a dataset. They are used across various fields, including economics, biology, and engineering, to analyze data patterns and trends. By displaying data in intervals, histograms help identify the shape, central tendency, and variability of data. For students, understanding histograms is crucial for interpreting data visually and making informed decisions based on statistical evidence.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

This is a collection of definitions related to the concept of charts, graphs, and data displays.

Topic

Statistics

Definition

The mean is a measure of central tendency that provides an average representation of a set of data.

Description

The Mean is an important concept in statistics, used to summarize data effectively.

In real-world applications, the Mean helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research.

For example, if a data set consists of the values 2, 3, and 10, the mean is calculated as (2 + 3 + 10)/3 = 5.

Topic

Statistics

Definition

The median is a measure of central tendency that provides the middle value of a data set..

Description

The Median is an important concept in statistics, used to summarize data effectively.

In real-world applications, the Median helps to interpret data distributions and is widely used in areas such as economics, social sciences, and research. For large data sets, the Median provdes an average that doesn't involve the massive calculation of a mean.

Topic

Statistics

Definition

The mode is the most frequent data item..

Description

The Mode is an important concept in statistics, used to summarize data effectively. It is the most frequent data item in a data set. A data set can have more than one mode.

In mathematics education, understanding mode is crucial as it lays the foundation for more advanced statistical concepts. It allows students to grasp the significance of data analysis and interpretation. In classes, students often perform exercises calculating the mean of sets, which enhances their understanding of averaging techniques.

Topic

Statistics

Definition

The range is the difference between the highest and lowest values in a data set.

Description

The range is a simple measure of variability that indicates the spread of a data set. It is calculated by subtracting the smallest value from the largest value, providing a quick sense of the data's dispersion. The range is used in various fields, including finance and quality control, to assess the variability and consistency of data.

November 2012. In this issue of Math in the News, we look at statistics for the recent Presidential election.

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February 2013. In this issue of Math in the News, we look at statistics for the flu season.

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October 2013. In this issue we follow Peyton Manning's extraordinary season with the Denver Broncos. This is a follow-up from Issue 51. This is an excellent opportunity to look at different data graphs, including box-and-whisker plots, bar graphs, and tabular data.

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October 2013. In this issue we look at how America has grown from its formation as a country. We look at the increase in the number of states, the increase in the population, and the demographic factors that have become prominent in recent years. We look at data in tables and graphs.

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October 2013. In this issue we look at statistics related to Halloween 2013. We explore how the economy is affecting holiday spending. We also investigate why Halloween has grown in popularity over the years.

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January 2014. In this issue of Math in the News we look at box office data from 2013. We look for patterns in the data and analyze the data using different data displays, including bar graphs, line graphs, scatterplot, and tables. This provides an excellent opportunity for data analysis.

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10/10/11. In this issue we look at the Boston Red Sox and their improbable collapse in September. They were one out away from making the playoffs, but they ended their game and season in dramatic fashion.

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February 2012. In this issue of Math in the News, we look at basketball statistics, in particular the stats for Jeremy Lin.

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March 2012. In this issue of Math in the News we look at Peyton Manning's new contract with the Denver Broncos. Was this a good deal or not?

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September 2012. In this issue of Math in the News we look at the remarkable success of the Washington Nationals baseball team. In the process we look at the success of new baseball franchises and why this happens.

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In this interactive, review seven commonly used data displays. Provides a quck review tool for a unit on data analysis. Note: the download is the Teacher's Guide.

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Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.

What are the two meanings of statistics? What does it really mean that an event has a 50% probability of occurring? Why are data analysis and probability always taught together? Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video answers these questions and addresses fundamental concepts such as the law of large numbers and the notion of regression analysis. Both engaging investigations are based on true stories and real data, utilize different Nspire applications, and model the seamless connection among various problem representations. Concepts explored: statistics, data analysis, regression analysis.