1. BOX AND WHISKER PLOTS Unit 8 – M1F

2. Warm – Up!! ■As you walk in, please pick up your calculator and begin working on the warm –up! 1.Using the data to the right, fill in the table below. 2.Draw a histogram to represent the data.

3. Box and Whisker Plots ■A way to display data using maximum, minimum, and medians. –Q1: 1 st Quartile: the median of the lower half of the data –Q3: 3 rd Quartile: the median of the upper half of the data. ■Example 1: Find the minimum, Q1, median, Q3, and maximum of the following set of data. 5897114945 Min:Q1:Med:Q3:Max: This is the called the 5 number summary!

4. Then our box and whisker plot looks like this. So our box and whisker plot for our example is this!

5. Example 2: Make a box and whisker plot for the following set of data: 14181217141918

6. Your turn! Make a box and whisker plot for the following set of data: 904788535972686279

7. Stem and Leaf Plots ■In a stem and leaf plot, the data are organized from least to greatest. ■The digits of the least place value usually form the stem, and the next place value digits form the leaves.

8. Displaying values in a stem and leaf plot 425753045470 56233930495855 1. Choose your stem values using digits in the tens place. 2. List the stems from least to greatest in the stem column. 3. Write the leaves, the ones digits to the write of the corresponding stems. 4. Write a key that explains what the stem and leaf plot means. Example: Create a stem and leaf plot for the given chart.

9. Describing data in a stem and leaf plot The stem and leaf plot shows the number of chess matches won by the chess team. a)find the range: b) Find the median: c) Find the mode:

10. Shape, Center and Spread ■The distribution of set of data cab be described by its ____________, _______________ and _______________.

11. Shape Continued….Skewed Skewed LeftSkewed Right

12. Example: Is each histogram symmetric, uniform, skewed left, or skewed right?

13. Center What is the center of this data? What is it called? Are there any other ways to find the center? These are both called “measures of central tendency.” Which measure of central tendency is most appropriate? It depends! Symmetric: use meanSkewed: use median

14. Example: Which measure of central tendency is most appropriate?

15. Spread Spread refers to how far apart the data is. How do we find this out? What is the range of this data? What is the IQR?

16. Example: What is the range?