1. Section 7.7 Statistics and Statistical Graphs

2. Data Collection Pulse Rates (beats per minute) of Our Class

3. Today’s Concepts Standard Deviation Box and Whisker Plot

4. Standard Deviation The standard deviation of a data set tells you the average distance a given data value is away from the mean. This is useful because it gives you an idea of how spread out your data is!

5. Standard Deviation Can be calculated by the formula: Or can be found using the calculator: STAT → Edit → [enter data values in 1 column] STAT → Calc → 1-Var Stats → 2 nd → LIST → [choose list you entered data in] → Enter Your standard deviation is σ

6. Heart Rate Example Find the standard deviation of our data set!

7. Illini Example The table below shows the number of points the University of Illinois’ basketball team has put up this season. Find the standard deviation of the data set. Points Scored by 2012-2013 Fighting Illini Basketball 75 8978948478637572 85646673816874675175

8. Box-and-Whisker Plots A box-and-whisker plot is constructed by plotting a data set’s 5-number summary: LV: Lowest Value Q1: Quartile 1 (separates lowest ¼ from the top ¾) Q2: Quartile 2 (the median) Q3: Quartile 4 (separates lowest ¾ from top ¼) GV: Greatest Value

9. Constructing a Box-and-Whisker Plot by hand: Arrange the data from least to greatest and identify LV and GV Find the median of the entire set (Q2) Find the median of the first half of the data (Q1) Find the median of the second half of the data (Q3) Create the box-and-whisker plot Box-and-Whisker Plots

10. Illini Example The table below shows the number of points the University of Illinois’ basketball team has put up this season. Construct a box-and- whisker plot of the data set. Points Scored by 2012-2013 Fighting Illini Basketball 75 8978948478637572 85646673816874675175

11. Box-and-Whisker Plots How to get the 5-number summary on a calculator: Repeat same steps that were used to find standard deviation LV is given by “minX” Q1 and Q3 are given by their normal names Q2 is given by “Med” GV is given by “maxX”

12. Heart Rate Example Construct a box-and-whisker plot of our data set!

13. Homework pg. 449 #