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6-D-1-1

Page history last edited by Brenda Butz 6 years, 2 months ago

6.D.1.1 Calculate the mean, median, and mode for a set of real-world data.

In a Nutshell

Mean, median and mode are all measures of central tendency. These measurements are used to determine the center of a set of data and describe the data in more detail. Students have previous knowledge of finding mean, median, and mode. The mean, or average, is found by adding the values in the set, then dividing by the number of values in the set. The idea is to equally redistribute the data across the set. The median is the middle value of an ordered set of data. If there are two middle values (in an even numbered set of data), find the average of those two middle values. Mode is the number that appears most often in a data set. There can be more than one mode or no mode if each data point is only appears once.

Student Actions	Teacher Actions
Develop problem solving strategies by exploring different ways to arrange data sets to make it easy to calculate mean, median, and mode. Develop problem solving strategies by exploring the meaning of central tendency and comparing between mean, median, and mode. (Ex: Organize data into a graph or table and compare multiple data sets with varying mean, median and mode.) Develop mathematical reasoning for real world application of central tendency by connecting mean, median, and mode to real world data sets. Develop accurate and appropriate procedural fluency through exploration of mean, median and mode calculations.	Implement tasks that promote reasoning and problem solving for students to explore the meaning of central tendency. (Ex:Provide many real-world data sets that students can analyze. Newspapers or sports publications have many sources of data.) Build procedural fluency by providing opportunities for students to analyze multiple data sets.
Key Understandings	Misconceptions
Mean is the arithmetic center of the data. Median is the middle number of the data. Mode is the data point or data points that appear the most in the data.	Confuse mean and median. Believe there can only be one mode. Forget to order their data before determining the median. Not know how to resolve two middle numbers for the median.