Mrs. Daniel- AP Stats
Chapter 2: Data Transformation Investigation
Using your graphing calculator calculate the following summary statistics:
1. Max was working in an aquaculture lab testing the effect of a new fish food on fish growth. Below are the results in
pounds.
1.7
1.8
1.7
1.6
1.8
1.7
1.8
1.9
1.5
2.0
Mean
Median
Standard Deviation
IQR
2. Oh No!!! After Max calculates all of the summary statistics he realizes that his scale was incorrectly calibrated. The
scale was light 0.2 pounds. In other words, a fish that was previously reported as weighing 1.7 pounds, actually weighs
1.9 pounds.
1.9
2.0
1.9
1.8
Recalibrated Measures
Mean
Median
Standard
Deviation
IQR
2.0
1.9
2.0
2.1
1.7
How did the values change from #1?
2.2
3. More Changes. Max’s annoying supervising professor is not happy with the results because the measurements were
taken in pounds. Now Max is required to convert the measurements to ounces. Remember there are 16 ounces in one
pound.
30.4
32.0
30.4
28.8
32.0
Converted Measures
30.4
32.0
33.6
27.2
35.2
How did the values change from #2?
Mean
Median
Standard
Deviation
IQR
4. Based on your results above, complete the chart below.
Adding (or Subtracting) a Constant. What
happened in #2?
Mean
Median
Standard
Deviation
IQR
All measures
of Center
All measures
of Spread
Multiplying (or dividing) by a Constant. What
happened in #3?