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Chapter 3: Q7 (page 127)
Sleep Q3 For a sample of 80 sleep times, approximately how many of those times are less than Q3?
The observations of 60 sleep times in 80 would be less than the third quartile.
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In Exercises 5鈥�20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as 鈥渕inutes鈥�) in your results. (The same data were used in Section 3-1, where we found measures of center. Here we find measures of variation.) Then answer the given questions.
Football Player Weights Listed below are the weights in pounds of 11 players randomly selected from the roster of the Seattle Seahawks when they won Super Bowl XLVIII (the same players from the preceding exercise). Are the measures of variation likely to be typical of all NFL players?
189 254 235 225 190 305 195 202 190 252 305
In Exercises 13鈥�16, use z scores to compare the given values.
Birth Weights Based on Data Set 4 鈥淏irths鈥� in Appendix B,newbornmales have weights with a mean of 3272.8 g and a standard deviation of 660.2 g.Newbornfemales have weights with a mean of 3037.1 g and a standard deviation of 706.3 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1500 g or a female who weighs 1500 g?
Arsenic in Rice Listed below are measured amounts (mg per serving) of arsenic in a sample of servings of brown rice [data from the Food and Drug Administration (FDA)]. Construct a frequency distribution. Use a class width of 2 mg, and use 0 mg as the lower class limit of the first class.
6.1 5.4 6.9 4.9 6.6 6.3 6.7 8.2 7.8 1.5 5.4 7.3
In Exercises 37鈥�40, refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: (Exercise 37) 11.5 years; (Exercise 38) 8.9 years; (Exercise 39) 59.5; (Exercise 40) 65.4.
Standard deviation for frequency distribution
Age (yr) of Best Actress When Oscar Was Won | Frequency |
20-29 | 29 |
30-39 | 34 |
40-49 | 14 |
50-59 | 3 |
60-69 | 5 |
70-79 | 1 |
80-89 | 1 |
In Exercises 17鈥�20, use the following cell phone airport data speeds (Mbps) from Sprint. Find the percentile corresponding to the given data speed.
0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.4 0.4 0.4 0.5 0.5 0.5 0.5 0.5 0.6 0.6 0.7 0.8 1.0 1.1 1.1 1.2 1.2 1.6 1.6 2.1 2.1 2.3 2.4 2.5 2.7 2.7 2.7 3.2 3.4 3.6 3.8 4.0 4.0 5.0 5.6 8.2 9.6 10.6 13.0 14.1 15.1 15.2 30.4
9.6 Mbps
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