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

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°

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: 10.92 Median: 8.5 Mode: 6 Range: 30 0, 19, 21, 17, 23, 26, 12, 19, 18, 20, 9, 12 Mean: 16.33 Median: 18.5 Mode: 12 and 19 Range: 26

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)

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]

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

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.

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

Break!

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

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

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

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

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

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

Comparing Box-and-Whisker Plots Homework Comparing Box-and-Whisker Plots