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

2. 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

3. 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

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

5. Weight data The weights of 8 people are given below in pounds:
Enter this data into a spreadsheet
Title the column “weight”
Find the summary statistics for the table

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

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