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You polled your friends to find out how many video games they have at home. The numbers you found are listed below. Find the interquartile range of the data, and draw a box and whisker plot. 12, 16, 22, 31, 32, 35, 41, 47, 49 IQR = 25 Math I UNIT QUESTION: How do you use probability to make plans and predict for the future? Standard: MM1D1-3 Today’s Question: How do you find the mean absolute deviation (MAD) of a data set? Standard: MM1D3.a. SAD to MAD SAD stands for the Sum of the Absolute values of the Deviation MAD stands for the Mean of the Absolute values of the Deviation Did the SAD to MAD task. NOTE: •Both are a measure of spread from the mean. •Both are used to compare sets of data. •SAD is OK if the sets of data have the same number of data points. •SAD will make the data set with the larger number of points appear to have more spread. •MAD is SAD ÷ N, where N is the number of data points – that is why MAD is also called the Mean (think average) Deviation •MAD normalizes the data to eliminate the bias of one data set having more points than another Both are a measure of spread from the mean. Notes on calculating SAD: 1. Find the mean of the data 2. Subtract the mean from each data point 3. Take absolute value of the differences 4. Add all the absolute values together MAD = SAD / N The mean absolute deviation of a numerical data set is the average deviation of the data from the mean. Mean Absolute Deviation x1 x x2 x ... xn x n The numbers below are the golf scores for the UGA golf team. Find the mean absolute deviation of the data. 68, 70 , 72, 73, 74, 75 Mean = 72 68 72 70 72 72 72 73 72 74 72 75 72 2 6 Do the same for Georgia Tech: 66, 69, 70, 71, 74, 76 The numbers below are the total points for the Woodland basketball team in its last 10 games. Find the Mean Absolute Deviation. 72, 75, 73, 99, 68, 79, 48, 60, 52, 59 11.1 Homework Pg 365, # 9 – 12 all, 15 and 16