Example 7.31 examined rainfall data for MinneapolisSt.

Chapter 0, Problem 7.87

(choose chapter or problem)

Example 7.31 examined rainfall data for MinneapolisSt. 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 powertransformation that has been suggested by meteorologistsis the cube root: transformed value (original value)1/3.The original values and their cube roots (the transformedvalues) are given in the following table:Original Transformed Original Transformed0.32 0.68 1.51 1.150.47 0.78 1.62 1.170.52 0.80 1.74 1.200.59 0.84 1.87 1.230.77 0.92 1.89 1.240.81 0.93 1.95 1.250.81 0.93 2.05 1.270.90 0.97 2.10 1.280.96 0.99 2.20 1.301.18 1.06 2.48 1.351.20 1.06 2.81 1.411.20 1.06 3.00 1.441.31 1.09 3.09 1.461.35 1.11 3.37 1.501.43 1.13 4.75 1.68Construct a histogram of the transformed data. Compareyour histogram to those given in Figure 7.38. Which ofthe cube-root and square-root transformations appear toresult in the more symmetric histogram(s)?