You can clear out the data sets that you created in the applet on the Mean and Median page by clicking the "deactivate" button and then design additional samples that meet these criteria.Ĩ.) For additional practice in understanding the relationship between mean and median and how the values in a data set impact these measure, use "Comparing Properties of the Mean and the Median through the use of Technology" website found through Illuminations. How are these sets different from one another? How are they alike? Are there other data sets with 6 points, a mean of 50, and a median of 50 that look different from the three you've created?ħ.) The last question of the activity, "Are there other sets with 6 points, a mean of 50, and a median of 50 that look different from the three you've created?" is a great way for students to put the class theories that were discussed with the first three sets to the test. Set C: The difference between every pair of two consecutive data points is the same.Set B: Every data point is either less than 25 or greater than 75.Set A: Every data point is between 35 and 65. The copied text from Mean and Median from Illuminations, for reference:Ĭan you create three data sets, all of which have 6 data points, a mean of 50, a median of 50, and meet the following criteria? As you drag each data point onto the number line, the mean and median are calculated so we can see how the addition of each data point affects these figures and how the overall placement of the point on the number line can have similar affects. Is there times in a data set when these numbers are very similar and other times when these numbers are quite different?Ħ.) Using the activity listed in the Explorations section of the Mean and Median webpage from Illuminations, as a class design the three data sets according to the provided specifications. Students can use the worksheet, Investigating a Data Set as a step by step tool of how to calculate each analysis method.ĥ.) After several examples, transition students to begin thinking about how the measures of central tendency (mean, median and mode) are related to each other. Use this worksheet to guide student inquiry of mean, median, mode, range.Ĥ.) Use additional data set example worksheet to provide students with additional practice as student demonstrate need for practice of concepts. This lesson is designed to provide students with a review of these concepts and then an in-depth look at how the overall composition of the data set can impact the calculation of both the mean and median.ġ.) For a warm-up, provide students with simple facts that review their addition, subtraction, multiplication and division.Ģ.) Lead the students in a discussion about "Why it is important to know how to analyze and interpret data?" and "How can we do this?" Answer soliciting student responses, explain to students today that we are going to reviewing several sets of data and identifying different ways that we can extract meaning from the data that is given.ģ.) Distribute the worksheet, Investigating a Data Set. By sixth grade, students should be comfortable with the terms mode, mean, median, and range.
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