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ANSWERS TO ODD-NUMBERED EXERCISES A-113<br />

GFR<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

Boxplot of GFR<br />

17. Some examples include difference, diversity, departure, discrepancy, deviation, and<br />

entropy<br />

19. x = 3.95, Median = 3, s = 3.605, s 2 = 12.998<br />

21. Answers will vary: It is not uncommon for students to score higher on exams as a<br />

semester progresses; therefore, the exam scores are likely to be left skewed, making<br />

the median, which is less affected by skew, to be the better choice.<br />

23. Answers will vary: Using Sturges's rule, where w = R k , k = 1 + 3.3221log 10 300) M<br />

9.23. An estimate of sample standard deviation can be found by dividing the sample<br />

range by 4. Therefore, s L R so that . Using this formula, then and<br />

w = 160<br />

9.23 = 17.33 4<br />

R L 4s<br />

R = 160<br />

suggesting that (d) or (e) may be appropriate.<br />

25. Answers will vary: Imagine you are examining protein intake among college students.<br />

In general most students are likely to consume the average daily protein intake,<br />

but among this population, there is likely to be a fair number of athletes who consume<br />

large amounts of protein owing to the demands of their sport. In that case, the data are<br />

likely to be positively skewed, and the median better represents the central tendency of<br />

the data.<br />

27. Variable N Mean Median TrMean StDev SE Mean<br />

S/R 216 0.3197 0.2440 0.2959 0.2486 0.0169<br />

Variable Minimum Maximum Q1 Q3<br />

S/R 0.0269 1.1600 0.1090 0.4367<br />

IQR = .3277, Range = 1.1331, IQR>R = .2892<br />

S/R ratio<br />

1.2<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0.0<br />

Boxplot of S/R ratio<br />

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