1. Warm Up – Find the mean, median & mode of each set. Data Set I Data Set II

2. Solution Data Set I Mean is 483.8461538 Median is 400 Mode is 300 Data Set II Mean is 474 Median is 350 Mode is 300 Data Set II Data Set I

4. Three Measures of Center 1.Mean- average of your values To find- add all values up and divide by how many you have 2.Median- middle number to find- arrange from least to greatest 3. Mode- most repeated number to find- look for number most often listed

5. When to use which measure of center… Use mean  when you DO NOT have an outlier Use median  when you DO have an outlier

6. Yesterday we talked displaying data using a histogram, another way to display data is through a box plot. To construct a box plot you need your “5 Number Summary”

7. To create a Box Plot you need the 5 Number Summary Minimum- smallest value Quartile 1 (Q1) – median of lower half of data Median- middle value Quartile 3 (Q3) – median of upper half of data Maximum – largest value

8. Where does everything go?.... Min Q 1 Median Q 3 Max Lower Upper Quartile Quartile “median of lower half” “median of upper half”

9. Example 1 Create a box plot of the data below 59, 27, 18, 78, 61, 91, 52, 34, 54, 93, 100, 87, 85, 82, 68

10. Luckily…. Our calculator will tell you your 5 number summary Step 1: Enter the height data in L 1. STAT  EDIT Step 2: STAT  CALC  1: 1-Var Stats  Enter

11. Example 2: Use the following data set to create a five- number summary and graph the box-and- whisker plot 87, 7, 41, 50, 15, 220, 23, 99, 11, 45, 11, 61, 3, 39, 21

12. Solution Minimum – 3 Maximum – 220 Median – 39 Q1 – 11 Q3 – 61

13. Use the data below to create the following: 1)Frequency Table 2)Histogram 3)Box Plot 4)Describe the distribution using SOCS

14. You try! Below is a stem and leaf plot of the amount of money spent by 25 shoppers at a grocery store. StemLeaf 0 1 2 3 4 5 6 7 8 9 10 11 3 6 0 1 7 8 9 0 0 3 6 8 1 3 4 7 2 5 5 0 5 2 6 7 3 Key: 4  2 = $42 1.Find the mean, median, and mode 2.Create a box plot of the data