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:

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

Exploring Quartiles DriverYearSpeed (MPH) Arie Luyendyk Rick Mears Bobby Rahal Juan Montoya Emerson Fittipaldi Helio Castronoves Rick Mears Mark Donahue Al Unser Tom Sneva Fastest winning speeds of the Indy 500

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. ( ) / 2 = 166.5

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 , 162, 162, 163, 166, 167, 167, 170, 176, 185 LQ UQ

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

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

More Practice! Roller Coaster Name/Location Year Opened Speed (MPH) Kingda Ka, Six Flags NJ Top Thrill Dragster, Cedar Point OH Dodonpa, Japan Superman, Six Flags CA Tower of Terror, Australia Steel Dragon, Japan Millennium Force, Cedar Point OH Goliath, Six Flags CA Titan, Six Flags TX Phantoms Revenge, Kennywood Park Xcelerator, Knott’s Berry Farm Fujiyama, Japan Thunder Dolphin, Japan

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): ( )/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

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