1. http://www.youtube.com/watch?v=z9AJk7TvdpQ

2. Bellringer  Use the following data set to construct a box and whisker plot.  Identify the outlier  Label the cluster(s) and/or gap(s) 12, 17, 15, 7, 9, 4, 15, 13, 100, 8, 15,

3.  Deviation: The distance that two points are separated from each other.  Deviation from the mean: How far the data point is from the mean. To find this distance, subtract the two values (the data point and the mean).  Mean absolute deviation (MAD): the average distance of all the data points from their mean.

4. Find the mean absolute deviation of the following test scores:  87, 94, 72, 65, 97, 7

5. Step 1: Write the data in the first column of the table. Column 1Column 2Column 3Column 4 DataMeanDifferencePositive Value 87 94 72 65 97 7 Sum Count MAD

6. Step 2: Calculate the mean of the data and write that in each cell of column 2. Column 1Column 2Column 3Column 4 DataMeanDifferencePositive Value 8770.3 9470.3 7270.3 6570.3 9770.3 7 Sum Count MAD 87 94 72 65 97 + 7 422 ÷ 6 = 70.3

7. Step 3: Subtract column 1 from column 2 and write the difference in column 3. Column 1Column 2Column 3Column 4 DataMeanDifferencePositive Value 8770.3-16.7 9470.3-23.7 7270.3-1.7 6570.35.3 9770.3-26.7 770.363.3 Sum Count MAD 70.3 – 87 = -16.7 70.3 – 94 = -23.7 70.3 – 72 = -1.7 70.3 – 65 = 5.3 70.3 – 97 = -26.7 70.3 – 7 = 63.3

8. Step 4: Rewrite all the numbers from column 3 as positive numbers in column 4. Column 1Column 2Column 3Column 4 DataMeanDifferencePositive Value 8770.3-16.716.7 9470.3-23.723.7 7270.3-1.71.7 6570.35.3 9770.3-26.726.7 770.363.3 Sum Count MAD

9. Step 5: Calculate the mean of the data in column 4, and you’re done! This is the MAD. Column 1Column 2Column 3Column 4 DataMeanDifferencePositive Value 8770.3-16.716.7 9470.3-23.723.7 7270.3-1.71.7 6570.35.3 9770.3-26.726.7 770.363.3 Sum137.4 Count6 MAD22.9 16.7 23.7 1.7 5.3 26.7 + 63.3 137.4 ÷ 6 = 22.9

10. Find the mean absolute deviation of the data. Round to the nearest hundredth, if necessary.  87, 75, 85, 77, 74, 82 Click here to check your answer

11. Solution: Column 1Column 2Column 3Column 4 DataMeanDifferencePositive Value 8780-77 758055 8580-55 778033 748066 8280-22 Sum28 Count6 MAD4.7

12.  Calculate the mean absolute deviation of each set of data. Show all work and answers on a separate sheet of notebook paper.  (1) 12, 15, 7, 14, 18, 8, 10  (2) 17, 11, 18, 15, 13, 18, 13