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# Lesson 2

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### Lesson 2

1. 1. Describing Sets of Data Unit 6: Graphs and Probability
2. 2. Organize Data <ul><li>Helps you analyze data </li></ul><ul><li>Helps you keep track of data </li></ul><ul><li>Easier to read the data </li></ul>
3. 3. Lunch Favorites <ul><li>This list shows the favorite lunched of 15 students </li></ul>hamburger, pizza, taco, pizza, spaghetti, taco, spaghetti, hamburger, hamburger, pizza, taco, pizza, pizza, spaghetti, taco Hamburger, hamburger, hamburger Pizza, pizza, pizza, pizza, pizza Taco, taco, taco, taco Spaghetti, spaghetti, spaghetti
4. 4. Finding the Mean <ul><li>The mean of a set of data is the sum of the data divided by the number of data items. </li></ul>Sum of Data Number of Items Mean =
5. 5. Sample Data <ul><li>4 7 9 13 25 </li></ul><ul><li>Mean = 4+7+9+13+25 = 58 </li></ul><ul><li>5 5 </li></ul>
6. 6. Finding the Median <ul><li>The median is the middle number in a set of ordered data. </li></ul><ul><li>If you have an odd number of data, the median is the average of the middle two numbers. </li></ul><ul><li> Median = (Middle Number) </li></ul><ul><li>2 </li></ul>
7. 7. Sample Data <ul><li>4 7 9 13 25 </li></ul><ul><li>Mean = 9 </li></ul><ul><li>4 7 9 13 25 32 </li></ul><ul><li>Mean = (9 + 13) = 11 </li></ul><ul><li> 2 </li></ul>
8. 8. Finding the Mode <ul><li>The mode is the data item that appears most often. </li></ul><ul><li>There can be more than one mode for a set of data. </li></ul><ul><li>If all data appears the same amount of times, there is no mode. </li></ul><ul><li>Mode = Most Occurring Item </li></ul>
9. 9. Sample Data <ul><li>4 4 9 13 25 </li></ul><ul><li>Mode = 4 </li></ul><ul><li>4 7 7 9 13 13 25 </li></ul><ul><li>Mode = 7, 13 </li></ul><ul><li>4 7 9 13 25 </li></ul><ul><li>Mode = No mode in this set </li></ul>
10. 10. Outliers <ul><li>An outlier is a data item that is much greater or less than the rest of the data items. </li></ul><ul><li>If a set has an outlier, then the mean will not describe the set well. </li></ul><ul><li>Outlier = An Extreme </li></ul>
11. 11. Sample Data <ul><li>4 7 9 13 25 212 Mean = 45 </li></ul><ul><li>Outlier = 212 Mean = 58/5 </li></ul><ul><li> </li></ul><ul><li>4 97 99 113 125 Mean = 87 3/4 </li></ul><ul><li>Outlier = 4 Mean = 108 1/2 </li></ul>
12. 12. Lets Practice! <ul><li>HW 6-1 </li></ul><ul><li>p. 103 # 1, 3, 5 </li></ul><ul><li>P. 110 # 5, 7, 9, 27 </li></ul>
13. 13. Triangular and Square Numbers <ul><li>Math History Worksheet </li></ul><ul><li>Why should we organize numbers? </li></ul>