Select students who were previously identified as discussing the relationship between outliers and the measures of center. “What did you notice when you changed the width of the classes for the histogram?” (This changed the intervals for each bar to a width of 5 and the data was resorted into those intervals.).“Why did the median stay the same?” (Changing a 7 to an 8 in the data set did not change the middle numbers, 8 and 9, in the data set).“Why did the mean increase?” (The sum of the data increased but the number of numbers stayed the same so the mean had to increase.).What happened to the statistics when you changed the value for A1 to 8 in the spreadsheet?” (When it was changed to 8, the mean increased slightly but the median stayed the same.).The purpose of this discussion is for students to create data displays using technology and to analyze what happens to the displays and the statistics when changes are made to the data set. What changes? Why might you want to show outliers? Why might you want to include or exclude outliers? Click on the button to the right of the slider and uncheck the box labeled Show Outliers to include this point in the box plot. This represents a data point that is considered an outlier. When looking at the box plot, notice there is an x on the right side of box plot. Click the word Histogram and look at a box plot and dot plot of the data. Then, click the box next to Set Classes Manually and set the Width to 5. Click on the button to the right of the slider to bring in another window with more options.Adjust the slider next to the word Histogram.What other statistics do you recognize?.What does the value for \(\Sigma x\) represent?.Click the button \(\Sigma x\) to see many of the statistics.Click Analyze to see a histogram of the data.Click on the button that looks like a histogram to get a new window labeled One Variable Analysis.Click on the letter A for the first column so that the entire column is highlighted.We can also use Geogebra to create data displays. What value can be put into A1 to change the mean to 10.05 and the median to 9?.What are the values for each of the statistics?.Next to the word Median, in cell D3, type =Median(A1:A20).Next to the word Mean, in cell D2, type =Mean(A1:A20). Next to the word Sum, in cell D1, type =Sum(A1:A20).Using the data from the warm-up, we can calculate a few statistics and look at the data.
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