1. Chap 1: Exploring Data 1.3: Measures of Center 1.4: Quartiles, Percentiles, and Box Plots 1.7: Variance and Standard Deviation

2. The Presentation of Data Dotplot (Dot-frequency diagram) Stemplot Stem: first digit or digits Leaf: last digit Frequency Table

3. Summation Notation

4. Suppose we wanted to sum the first 10 numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 Let’s build a table:

5. Summation Notation

8. Using Summation Notation to Solve a Problem The corner section of a football stadium has 15 seats in the first row and 40 rows in all. Each successive row contains two additional seats. How many seats are in this section?

9. Using Summation Notation to Solve a Problem

10. Summation Notation

11. Mean

13. Median The middle value of a set of data Order the data from smallest to largest The median is the middle value When there exists an even number of elements, the median is the average of the two middle values Our previous data: 3, 3, 4, 6, 7 Median = 4

14. Mode The value that appears the most number of times in a set of data Our previous data: 3, 3, 4, 6, 7 Mode = 3

15. Measures of Center

17. Percentile The p th percentile of a set of numbers is a value in the set such that p percent of the numbers are less than or equal to that value. Max = 100 th percentile Min = 0 th percentile Median = 50 th percentile

18. Quartiles

19. Five Number Summary 1)Minimum 2)1 st Quartile = Lower Quartile 3)2 nd Quartile = Middle Quartile 4)3 rd Quartile = Upper Quartile 5)Maximum

20. Five Number Summary Calculate the average daily high temperature in Colorado Springs for June 2014 Generate a Five Number Summary for the daily high temperatures in Colorado Springs for June 2014 June 2014 Temperatures

21. 65 8 9 72 4 7 7 80 1 1 1 1 2 2 3 3 3 4 4 4 5 5 6 6 7 8 90 3 5 6

22. June 2014 Temperatures

23. Box Plot Box-and-Whisker Plot A visual representation of a five-number summary 1)Draw a number line including the minimum and maximum data values 2)Draw a rectangle with opposite sides at the lower and upper quartiles of the data (hinges) 3)In the box, draw a segment parallel to the hinges at the median 4)Draw segments from the midpoints of the hinges to the min and max values (whiskers)

24. Box Plot Box-and-Whisker Plot 60708090100

25. Outliers and the Interquartile Range

26. June 2014 Temperatures

27. Calculating the Variance and Standard Deviation

28. Variance and Standard Deviation

29. Example Problem (Test Scores)

31. Chap 1 Homework 1.3: Page 26#14 – 18 1.4: Pages 34 – 35 # 1 – 13 1.7: Page 58 # 1, 4, 5