Example 7.19 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 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 7.33. Which of the cube-root and the square-root transformations appears to result in the more symmetric histogram?

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