13. Mean = $2025.25. Median = $2209. Mode = none.
14. Mean = $41.41. Median = $40.76. Mode = none.
15. Mean = 3670. Median = 3830. Mode = 4090.
16. Mean = 266. Median = 266. Mode = 260.
17.
a) mean > median
b) mean = median
c) mean < median5. The sample variance is 36. The sample standard deviation is 6.
6. The sample variance is 100. The sample standard deviation is 10.
7. The population variance is 16. The populataion standard deviation is 4.
8. The population variance is 64. The populataion standard deviation is 8.
9. The sample variance is 196. The sample standard deviation is 14.
10. The population variance is 25 The populataion standard deviation is 5.
14. R = 25. The sample standard deviation is 234.31.
5. The z-score for the 34-week baby is -0.30. The z-score for the 40-week baby is -0.43. The 40-week baby weighs less relative to the gestation period.
7. A 75-inch man is relatively taller.
9. Hernandez had the better year relative to his peers. His ERA was 2.14 standard deviations below the American League’s mean ERA, whereas Johnson’s ERA was 1.78 standard deviations below the National League’s mean ERA.
11. Power had the more convincing victory because his finishing time was 1.76 standard deviations below the mean, whereas Franchittis’ finishing time was 1.48 standard deviations below the mean.
13. The minimum score that an applicant must make on the test to be accepted is 239.
15.
a.) 15% of males 3 to 5 months of age have a head circumference that is 41.0 cm or less, while 85% have a head circumference that is greater than 41.0 cm.
b.) 90% of females 2 years of age have a waist circumference of 52.7 cm or less, while 10% have a waist circumference that is greater than 52.7 cm.
c.) As the age group increases, the heights decrease at each percentile. We might conclude that males are getting taller.22.
a.) The z-score is -1.21. The hemoglobin of Blackie is 1.21 standard deviations below the 20 randomly selected cats' mean hemoglobin.
b.) Q1 = 9.15. Q2 = 9.95. Q3 = 11.1
c.) IQR = 1.95
d.) LF = 6.23. UF = 14.03. 5.7 is an outler. 25. The cutoff point is 574 minutes.
3.
a.) skewed right
b.) 0, 1, 3, 6, 164.
a.) symmetric
b.) -1, 2, 5, 8, 115.
a.) 40
b.) 53
c.) y: greater range of data than x
d.) symmetric: the left and right whiskers are roughly the same length
e.) skewed right: the right whisker is longer than the left whisker and the median is left of center in the box
6.
a.) 16
b.) 22
c.) y: greater range of data than x
d.) x has an outlier of 29
e.) skewed left: the left whisker is longer than the right whisker and the median is right of the center of the box7. please do this problem by hand on paper.
8. please do this problem by hand on paper.
9. please do this problem by hand on paper. The five # summary is 42,50.5,54.5,57.5,69
10. please do this problem by hand on paper. The five # summary is 7.2,9.0,10.0,11.2,16.4