7.90 Example 7.33 examined rainfall data for Minneapolis–

St. Paul. The square-root transformation was used to obtain a distribution of values that was more symmetric than the distribution of the original data.

Another power transformation that has been suggested by meteorologists is the cube root: transformed value

(original value)1/3. The original values and their cube roots (the transformed values) are given in the following table:

Construct a histogram of the transformed data. Compare your histogram to those given in Figure 7.38. Which of the cube-root and square-root transformations appear to result in the more symmetric histogram?

Transcribed Image Text:

Original Transformed Original Transformed 0.32 0.68 1.51 1.15 0.47 0.78 1.62 1.17 0.52 0.80 1.74 1.20 0.59 0.84 1.87 1.23 0.77 0.92 1.89 1.24 0.81 0.93 1.95 1.25 0.81 0.93 2.05 1.27 0.90 0.97 2.10 1.28 0.96 0.99 2.20 1.30 1.18 1.06 2.48 1.35 1.20 1.06 2.81 1.41 1.20 1.06 3.00 1.44 1.31 1.09 3.09 1.46 1.35 1.11 3.37 1.50 1.43 1.13 4.75 1.68