# Might choose to use different subscripts which is

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might choose to use different subscripts, which is fine.) The difference in medians is mH mC =626−1025=−399. College graduates earn about \$400 more per week than high school graduates.
2.63 Create a Dataset
Give any set of five numbers satisfying the condition that: (a) The mean of the numbers is substantially less than the median. (b) The mean of the numbers is substantially more than the median. (c) The mean and the median are equal. Answers will vary Solution
Table 2.18 shows the number of women (per 1000) between 15 and 44 years of age who have been married grouped by the number of children they have had. Table 2.19 gives the same information for women who have never been married. 34 Table 2.18 Women who have been married Number of Children Women per 1000 0 162 1 190 2 290 3 289 4 48 5+ 21 Table 2.19 Women who have never been married Number of Children Women per 1000 0 791 1 108 2 53 3 29 4 12 5+ 7 (a) Without doing any calculations, which of the two samples appears to have the highest mean number of children? Which of the distributions appears to have the mean most different from the median? Why? (b) Find the median for each dataset. 2.95 Estimating Summary Statistics For the dataset
45,46,48,49,49,50,50,52,52,54,57,57,58,58,60,61 (a) Without doing any calculations, estimate which of the following numbers is closest to the mean: 60,53,47,58 Solution The numbers range from 46 to 61 and seem to be grouped around 53. We estimate that . (b) Without doing any calculations, estimate which of the following numbers is closest to the standard deviation: 52,5,1,10,55 s ≈5 Solution
(c) Use statistics software on a calculator or computer to find the mean and the standard deviation for this dataset.
Solution