1. Quick Start Expectations 1.Fill in planner and HWRS HW: WS: 11-3 Guided Problem Solving 2.Get a signature on HWRS 3.On desk: journal, LS kit, Toolkit, calculator 4.Warm Up: 12, 12, 18, 6, 12, 22, 15, 9, 11, 16 Calculate the Mean, Median, Mode, Range, and the MAD for this set of numbers:

2. 12, 12, 18, 6, 12, 22, 15, 9, 11, 16 Mean: Median: Mode: Range: MAD:

3. Exploring Quartiles DriverYearSpeed (MPH) Arie Luyendyk1990185 Rick Mears1991176 Bobby Rahal1986170 Juan Montoya2000167 Emerson Fittipaldi1989167 Helio Castronoves2002166 Rick Mears1984163 Mark Donahue1972162 Al Unser1987162 Tom Sneva1983162 Fastest winning speeds of the Indy 500

4. Finding the Inter-quartile Range (IQR) Step 1: Write the speeds in order from least to greatest. 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 Step 2: Find the median of the data since the median separates the data into two halves. 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 Since there are two numbers in the middle we have to find the mean of the two. (166 + 167) / 2 = 166.5

5. Steps Continued… Step 3: Find the median of the upper half of the numbers________. This number is called the upper quartile. Circle this number in your step 1 and label it UQ Step 4: Find the median of the lower half of the numbers_______. This number is called the lower quartile. Circle this number in your step 1 and label it LQ 170 162 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 LQ UQ

6. Steps Continued… Step 5: The middle half of the data goes from the upper quartile (UQ) to the lower quartile (LQ). Subtract the LQ from the UQ. 170 – 162 = 8 This is called the inter-quartile range of the scores!! The IQR describes the variability of the middle 50% of the data values. 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 LQ UQ

7. 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 LQ UQ Write in your notes: What 5 points do you need to know to find the IQR? 1.Least value 2.LQ 3.Median 4.UQ 5.Greatest value

8. More Practice! Roller Coaster Name/Location Year Opened Speed (MPH) Kingda Ka, Six Flags NJ 2005128 Top Thrill Dragster, Cedar Point OH 2003120 Dodonpa, Japan 2001112 Superman, Six Flags CA 1997100 Tower of Terror, Australia 1997100 Steel Dragon, Japan 200095 Millennium Force, Cedar Point OH 200093 Goliath, Six Flags CA 200085 Titan, Six Flags TX 200185 Phantoms Revenge, Kennywood Park 200182 Xcelerator, Knott’s Berry Farm 200282 Fujiyama, Japan 199681 Thunder Dolphin, Japan 200381

9. Find the Stats… Step 1: Order the data… 81, 81, 82, 82, 85, 85, 93, 95, 100, 100, 112, 120, 128 Range: 128 – 81 = 47 Median: 93 Upper Quarter (UQ): (100 + 112)/2 = 106 Lower Quartile (LQ): 82 Interquartile Range: 106 – 82 = 24 Mean: about 96 Mode: No mode because 81, 82, 85, 100 each appear twice Outliers: 128

10. Write in your notes: What 5 points do you need to know to find the IQR? 1.Least value 2.LQ 3.Median 4.UQ 5.Greatest value With these 5 points we can create a BOX and WHISKERS PLOT 81, 81, 82, 82, 85, 85, 93, 95, 100, 100, 112, 120, 128 LQ UQ