https://www.geogebra.org/m/qd7tr6Pr To begin, click to activate three boxes: mean, median, and lineplot (dot plot). 1. Create a roughly symmetric data set containing 12 data values that range from 0 to 50, and include a screenshot that shows the dot plot and the numbers that you used. Compare the relative position of the mean and median of your data set- what do you notice? Why do you think this occurs? Enter data separated by commas (or click randomize). Enter any non-integers as decimals, not fractions. Data Set $1:2,5,8,10,15,20,20,15,10,85,2 Randomize 13 14 17 18 19 21 Lineplot Mean Median Mode Boxplot 2. Next change the numbers to create a data set of 12 values that range from 0 to 50 that is clearly skewed left (tail goes to the left) and include a screenshot that shows the dot plot and the numbers that you used. What do you notice about the relative positions of the mean and median of your data set? Use the concept of the mean as a balancing point to explain why this occurred. Enter data separated by commas (or click randomize). Enter any non-integers as decimals, not fractions. 10 12 14 16 22 24 28 No mode Data Set #1:5, 8, 10, 12, 15, 18, 20, 22, 25, 28, 30, 40 Randomize Mean Median Mode 40 42 Lineplot Boxplot 3. Next change the numbers to create a data set of 12 values that ranges from 0 to 50 that is clearly skewed right (tail goes to the right) and include a screenshot that shows the dot plot and the numbers that you used. What do you notice about the relative positions of the mean and median of your data set? Use the concept of the mean as a balancing point to explain why this occurred. 10 16 20 22 24 Data Set #1: 10,15,20,22,25,28,30,32,35,38,40,45 No mode Lineplot Randomize Mean Median Mode Boxplot 4. Make a note of the rough values of the mean and median in Part 3. Now change your highest data value to 100 and include a screenshot that shows the dot plot and the numbers that you used. What are the approximate values of the mean and median no Explain why this occurred. 10 15 20 25 30 35 40 45 50 55 60 66 70 75 80 85 90 95 100 105 No mode Lineplot Data Set #1: 10,15,20,22,25,28,30,32,35,38,40,100 Randomize Mean Median Mode Boxplot