EQ: What effect do transformations have on summary statistics? Transforming Data EQ: What effect do transformations have on summary statistics?

Height inches Feet Weight lbs Weight in lbs – 3 Mean Median S.D. Range Draw the table below in your notes Height inches Feet Weight lbs Weight in lbs – 3 Mean Median S.D. Range IQR

Height data The heights of 7 people in inches are 76 71 68 65 69 70 70 Enter this data in a spreadsheet Title column A “inches” Go to a calculator page and find the statistics for the table

Height data Convert all of the measurements from inches to feet Transformation: inches/12 Find the summary statistics and fill in the table

Weight data The weights of 8 people are given below in pounds: 160 98 103 115 125 140 118 155 Enter this data into a spreadsheet Title the column “weight” Find the summary statistics for the table

Weight data The person that recorded the data later found out that the scale was overweighing people by 3 pounds. Transform the data to give correct measurements: Transformation: weight – 3 Find the summary statistics and fill in the table

Draw the table below in your notes Height inches Feet Weight lbs Weight in lbs – 3 Mean 69.857 5.821 126.75 123.75 Median 70 5.833 121.5 118.5 S.D. 3.338 0.278 22.952 Range 11 0.916 62 IQR 6 .25 38.5 3.5

Connections 100 84 150 80 10 5 50 37 Distance in meters Distance in kilometers Test score without curve Test score with 10 point curve Mean 100 84 Median 150 80 S.D. 10 5 Range 50 37

Connections Distance in meters Distance in kilometers Test score without curve Test score with 10 point curve Mean 100 .1 84 Median 150 .15 80 S.D. 10 0.01 5 Range 50 0.05 37

Connections Distance in meters Distance in kilometers Test score without curve Test score with 10 point curve Mean 100 .1 84 94 Median 150 .15 80 90 S.D. 10 0.01 5 Range 50 0.05 37

Conclusion Measures of center? Multiples or divides the measure How does multiplying or dividing a set of data by a constant affect: Measures of center? Multiples or divides the measure Measures of spread? How does adding or subtracting a set of data by a constant affect Add or subtracts to the measure   No effect

Reading Pages 92 to 99 For more examples and helpful tips. Read through 2.1 of your book. Page 99 is a good summary!