Students in one of the author€™s prestatistics classes anonymously estimated the author€™s age (in years). Their responses are described by the stemplot in Fig. 54.
Variable: Age
Decimal point is 1 digit(s) to the right of the colon.
Leaf unit = 1

a. Use the 50th percentile to measure the center.
b. The author€™s actual age is 52 years. Find the error in the estimate you found in part (a) by finding the difference of your estimate and the actual age.
c. Give two possible reasons why the 50th percentile does not equal the actual age.
d. Construct a dotplot of the data.
e. Assume there is exactly one outlier. On the basis of the stemplot, why does the observation 65 years appear to be the outlier? On the basis of the dotplot, why does the observation 30 years appear to be the outlier? If there is just one outlier, what is it? Explain.

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