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Warm Up Find the mean of the following: 12, 3, 5, 9, 21 5, 7 271, 35, 106, 243 20, 30, 10, 50 1, 2, 3 Agenda Warm Up (10) Notes (20) EQ Task “Sad to Mad” (30) Practice Problems (20) Ticket out the Door Homework Notes Standard: MA1D4. Students will explore variability of data by determining the mean absolute deviation (the averages of the absolute values of the deviations). Key Vocabulary Mean-average Mode-number that occurs the most Median-the middle number Summation MEAN ABSOLUTE DEVIATION (MAD) Summation Summation – add the series or sequence of numbers. Symbol: 4 Example: n n1 Mean Absolute Deviation (MAD) The (MAD) is used as a way to determine the variability of data. Variability means the variance (spread) in different things such as test scores, results, or other data. The formula to find the mean absolute N Deviation: _ | x i i1 N x | Essential Question (EQ) How can I quantify the variability of a distribution? N | x _ i i1 N x | Task “Sad to Mad” Practice--Find the MAD Find the MAD of 1, 1, 4, 7, 12 Step 1: Find the mean ( ) x (1+1+4+7+12)÷5= 5 Step 2: Sum the absolute deviations from the mean ( | x x | ) N _ i i1 |1-5|+|1-5|+|4-5|+|7-5|+|12- 5|=4+4+1+2+7=18 Step 3: Divide by the number of data points ( | x x | ) N _ i 18/5=3.6 i1 N Ticket out the Door Describe how you would find the MAD of a set of numbers.