1. Warm Up Convert to degrees a) 3𝜋 4 b) 𝜋 9 c) 7𝜋 3
2. Identify the mean, median, mode and range for each set of data
2, 6, 4, 6, 8, 12, 16, 18, 32, 7, 9, 11
0, 19, 21, 17, 23, 26, 12, 19, 18, 20, 9, 12

2. Warm Up Convert to degrees a) 3𝜋 4 b) 𝜋 9 c) 7𝜋 3 𝟒𝟐𝟎° 𝟏𝟑𝟓° 𝟐𝟎° or 𝟔𝟎°
180 𝜋
𝟒𝟐𝟎°
or 𝟔𝟎°
𝟏𝟑𝟓°
𝟐𝟎°

3. Warm Up
2. Identify the mean, median, mode and range for each set of data
2, 6, 4, 6, 8, 12, 16, 18, 32, 7, 9, 11
Mean: Median: 8.5
Mode: 6 Range: 30
0, 19, 21, 17, 23, 26, 12, 19, 18, 20, 9, 12
Mean: Median: 18.5
Mode: 12 and 19 Range: 26

4. Box and Whisker Plot
Box and Whisker Plots are separated into quartiles (or quarters)
Data is separated into percentiles (like when you take the PSAT and learn your math skills are in the 90 percentile)
They show concentration of values (including the degree of dispersion and skew)

5. The Five Number Summary
The five number summary from a set of data is: 1. The minimum (smallest) value 2. The maximum (largest) value 3. The median (middle) value 4. The 1st quartile (Q1) value [i.e. the “middle” number of the lower half] 5. The 3rd quartile (Q3) value [i.e. the “middle” number of the upper half]

6. The five number summary is displayed on the box-and-whisker plot:
Median
1st Quartile
3rd Quartile

7. The Interquartile Range or IQR
The Interquartile Range or “IQR” is the middle 50% of your data.
It is the data between Q1 and Q3.

8. To find your interquartile range (IQR):
…..Just subtract: Q3 – Q1 = your IQR
Q3 = 85 Q1 = 66
85 – 66 = 19
Interquartile Range: 19

9. Break!

10. Creating Box-and-Whisker Plots on a Calculator
Press STAT
Press ENTER to select option 1:Edit
Enter your data points, pressing enter between each one
Press 2nd 𝑦=
Press ENTER to select 1: Plot 1
Press ENTER to turn on Plot 1
Under TYPE, select the second row middle option, press ENTER
Press ZOOM 9

11. Creating Box-and-Whisker Plots
on a Calculator
Press Trace to find the values of the box-and-whisker
Median:
174.75
Min
153
Max
185 Q1
170 Q3
181

12. Comparing Data on Box and Whisker Plots
Enter the arm span data for period 8 in L2
Turn on Plot 2
Press 2nd 𝑦=
Select 2: Plot 2
Press ENTER to turn it on
Select the box-and-whisker plot (bottom middle row)
Zoom 9

13. Comparing Data on Box and Whisker Plots
Median:
174.75
Min
153
Max
185 Q1
170 Q3
181
Median:
174.5
Min
149
Max
193 Q1
159 Q3
183

14. Which athlete would you draft?
Below are box and whisker plots for two players’ free throw percentages last season
Player 1
Player 2

15. Practice Work Sample
The grades of 10 students from two different teachers are shown below. Each sample is a good representation of the grades of the students in each teacher’s class. As a student forecasting for next year, which teacher would you rather have? Support your answer by comparing center, shape, and spread of the two sets of data.
Grades
Teacher A
Teacher B
76.5 77 80 94 92 72 91 60 68 75 81 78 70 83 88 99

16. Comparing Box-and-Whisker Plots
Homework
Comparing Box-and-Whisker Plots