Quick Start Expectations 1.Fill in planner and HWRS HW: SP p. 22 # Get a signature on HWRS 3.On desk: journal, LS kit, Toolkit, calculator 4.Warm Up: Find the inter-quartile of these numbers (format it correctly) : 22, 23, 44, 45, 33, 33, 8, 30 If you finish, find the range, mean, mode, and MAD
Step 1: Write them in order from least to greatest. 8, 22, 23, 30, 33, 33, 44, 45 Step 2: Find the median of the data. Since there are two numbers in the middle we have to find the mean of the two. ( ) / 2 = 31.5 Step 3: Find the Upper Quartile: UQ: = 77 /2 = 38.5 Step 4: Find theLower Quartile: LQ: = 55 /2 = 22.5 Step 5: Identify the middle half of the data from the (UQ) to (LQ) is the inter-quartile range: IQR UQ – LQ = IQR – 22.5 = UQ LQ 22, 23, 44, 45, 33, 33, 8, 30
8, 22, 23, 30, 33, 33, 44, 45 Range Mean Mode MAD
p. 16
Use on tonight’s HW!
How might you decide which are faster, steel-frame roller coasters or wood-frame roller coasters?
Range = 68 mi/h Range = 41 mi/h Mean = mi/h Mean = 52.6 mi/h
Median = 54.5 mi/h Median = 53 mi/h IQR = 28 mi/h IQR = 10 mi/h
IQR for steel-frame is more than twice the IQR for the wood-frame The median of the steel-frame is greater than the median of the wood-frame The middle 50% of the speeds for steel- frame are more variable than the middle 50% for wood-frame
Box-and-Whisker Plots At least 25% of the steel-frame coasters have speeds that are faster than those of wood-frame coasters.
The measures of center for steel-frame and wood- frame coasters are somewhat similar. Speeds of steel-frame coasters vary greatly. Measures of spread (specifically IQR) show that at least 25% of the steel-frame coasters have speeds that are faster than those of wood-frame coasters.