HW: Measures of Variability Wkst Tuesday, 5/9/17 Write the IC and HW in your planner. IC: IQR HW: Measures of Variability Wkst Materials Pencil & grading pen Planner Marker Data Analysis Wkst Data Analysis Activity 1

Bellwork Label the 5 indicated parts on the box-and-whisker plot. 3rd/Upper Quartile 1st/Lower Quartile Median 2) 3) 1) Upper Extreme or Extreme 4) Whisker 5) 6) Find the range of the middle half of the data in the box-and-whisker plot above. 8 – 4 = 4

Measures of Variability 7.SP.4 Objective: TSWBAT find the measures of variability and use them to interpret/analyze data. 3/17/16 Ch. 10.7 Measures of Variability Range Interquartile Range (IQR)

Range : The difference between the greatest number and lowest number = 48 l l l l l l l l l l l 60 64 68 72 76 80 84 90 94 98 102 106 110 114 118 122 126 130 134 138 142

IQR = 94 – 76 = 18 l l l l l l l l l l l 60 64 68 72 76 80 84 90 94 98 102 106 110 114 118 122 126 130 134 138 142

Ex. 6: Find the measures of variability for the data in the table. Range: Median: Q1: Q3: IQR: 61 – 0 = 61 35 61 31 34 32 24 39 38 U.S. Summer Olympic Silver Medals 1976-2008 34 27.5 38.5 38.5 – 27.5 = 11.0 0, 24, 31, 32, 34, 35, 38, 39, 61 24+31=55 38.5 55  2 = 27.5 Use the measures of variability to describe the data. There is not much variability in the data because the IQR is only 11, but the overall range is 61. This means half of the data values are close to the median. If we were to draw a box & whisker plot, the box would be small compared to the whiskers!

Ex. 7: Find the measures of variability for the data in the table. Swimming 261 Soccer 234 Football 222 Basketball 210 Tennis 183 Downhill Skiing 150 Volleyball 84 Raquetball 228 Range: Median: Q1: Q3: IQR: 261 – 84 = 177 # Calories Burned for 30 Min. 216 166.5 231 231 – 166.5 = 64.5 84, 150, 183, 210, 222, 228, 234, 261 150+183=333 228+234=462 333  2 = 166.5 462  2 = 231 210+222=432 432  2 = 216

Use the measures of variability to describe the data. Ex. 7: Find the measures of variability for the data in the table. Swimming 261 Soccer 234 Football 222 Basketball 210 Tennis 183 Downhill Skiing 150 Volleyball 84 Raquetball 228 Range: Median: Q1: Q3: IQR: 261 – 84 = 177 # Calories Burned for 30 Min. 216 166.5 231 231 – 166.5 = 64.5 84, 150, 183, 210, 222, 228, 234, 261 150+183=333 228+234=462 333  2 = 166.5 462  2 = 231 Use the measures of variability to describe the data.

Closure What are the two measures of variability? ___________________ What do the measures of variability do for us?

Bellwork red blue tails 5 or 6 1st 2nd x = 1st 2nd x = 1) Find the probability of drawing a red marble from a bag of 6 red and 4 blue marbles, replacing it, and then drawing a blue marble. red blue 1st 2nd x = 2) Find the probability of a flipped coin landing on tails and rolling a 5 or 6 on a number cube. tails 5 or 6 1st 2nd x =

Bellwork green blue 1st 2nd x = 3) Imagine you have a bag of candy with 2 green jolly ranchers, 5 blue jolly ranchers, and 1 red jolly rancher. What’s the probability you grab a green jolly rancher, eat it, and then blindly reach in again and grab a blue jolly rancher? green blue 1st 2nd x =

Bellwork Pencil Pen 1st Pick 2nd Pick 4) Jill has 2 pencils and 8 pens in her backpack. What is the probability that Jill will randomly choose a pencil out of her backpack and then, without replacing it, choose a pen? Pencil Pen 1st Pick 2nd Pick At first, there are 10 total writing utensils. After you pick a pencil, there are only 9 things left. However, all of the gel pens are left. x =