On Desk: Learning Log: FW Test & LL – Parent Sig.? Pencil Calculator

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Presentation transcript:

On Desk: Learning Log: FW Test & LL – Parent Sig.? Pencil Calculator Math CC7/8 – Be Prepared On Desk: Pencil Calculator Math Journal SP Learning Log Unit Letter (blue)-from counter Worksheets for today Learning Log: HW: p. 22, #9-16 FW Test & LL – Parent Sig.?

Tasks for Today Complete SP 1.3 Bar Graphs (relative frequencies) WS – Indy 500 Speeds, IQR Lesson 1.4 – Using IQR to compare samples

Exploring Quartiles Fastest winning speeds of the Indy 500 (WS) Driver Year Speed (MPH) Arie Luyendyk 1990 185 Rick Mears 1991 176 Bobby Rahal 1986 170 Juan Montoya 2000 167 Emerson Fittipaldi 1989 Helio Castronoves 2002 166 1984 163 Mark Donahue 1972 162 Al Unser 1987 Tom Sneva 1983

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. Since there are two numbers in the middle we have to find the mean of the two. (166 + 167) / 2 = 166.5

Steps Continued… LQ UQ 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 170 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

Steps Continued… LQ UQ 162, 162, 162, 163, 166, 167, 167, 170, 176, 185 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.

How do you think the roller-coaster census data were collected? SP p. 16, Use on tonight’s HW! How do you think the roller-coaster census data were collected?

Suspended Coaster- track above, cars “swing”, connected by a pivoting bar Inverted Coaster- track above, seats hang below, feet usually dangle, but cars don’t swing

How might you decide which are faster, steel-frame roller coasters or wood-frame roller coasters?

Range = 68 mi/h Mean = 55.03 mi/h Range = 41 mi/h Mean = 52.6 mi/h

Median = 54.5 mi/h IQR = 28 mi/h Median = 53 mi/h IQR = 10 mi/h Comparisons on next slide…

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.