3.4

5 34 week gestation: z= -.30; 40 week gestation: z= -.43; 40 week baby weighs relatively less

7 Man z= 1.8; Woman z= 1.6; The man is relatively taller

9 Kershaw z= 2.3; Hernandez z= 1.9; Kershaw had the better year relative to his peers.

11 100-meter z= -3.4; 200-meter z= -3.1; Ryan did better in the 100-meter.

13 Minimum score: 239

15

  1. 15% of males 3- to 5-months old have a head circumference of 41.0 cm or less. 85% of males 3- to 5-months old have one that is greater than 41.0 cm.

  2. 90% of females 2 years of age have a waist circumference of 52.7 cm or less. 10% of females 2 years of age have a waist circumference of greater than 52.7 cm.

  3. As males age, they have a shorter standing height.

22

  1. (hint the mean = 10.08, standard deviation = 1.885), 1.3

  2. Q1: 9.15 Q3: 11.1

  3. IQR: 1.95

  4. Lower fence: 6.23 Upper fence: 14.02; One outlier at 5.7

25 574.25 minutes

3.5

3

  1. Skewed right

  2. min:0 Q1:2 M:3 Q3:7 max:16

4

  1. Normal

  2. min:-1 Q1:3 M:5 Q3:8 max:11

5

  1. Mx:40

  2. Q3y:52

  3. Variable y because the range is greater

  4. Symmetrical because the minimum maximum and the quartiles are roughly equidistant from the median

  5. Skewed right because the maximum is extremely higher than the median.

6

  1. Mx:17

  2. Q1y: 22

  3. Variable y because the range is larger

  4. Outlierx: 30

  5. Skewed left because the minumum is significantly farther from the median than the maximum

7

dat1 <- c(60,68,77,89,98)

boxplot(dat1)

8

dat2 <- c(110,140,157,173,205)

boxplot(dat2)

9

dat3 <- c(42,43,46,46,47,
         47,48,49,49,50,
         50,51,51,51,51,
         52,52,54,54,54,
         54,54,55,55,55,
         55,56,56,56,57,
         57,57,57,58,60,
         61,61,61,62,64,
         64,65,68,69)

  1. min:42 Q1:50.5 M:54.5 Q3:57.5 max:69

boxplot(dat3)

  1. Symmetrical

10

dat3 <- c(7.2, 7.8, 7.8, 7.9, 8.1, 8.3,
          8.5, 8.6, 8.6, 8.6, 8.7, 8.8,
          9.0, 9.1, 9.2, 9.2, 9.2, 9.4,
          9.4, 9.6, 9.7, 9.7, 9.9, 9.9,
          10.0, 10.0, 10.0, 10.1, 10.2, 10.3,
          10.0, 10.3, 10.3, 10.7, 10.7, 10.9,
          11.2, 11.2, 11.2, 11.3, 11.3, 11.3,
          11.5, 11.5, 11.7, 12.4, 12.5, 13.6,
          13.8, 14.4, 16.4)

  1. min:7.2 Q1:9.0 M:10.0 Q3:11.2 max:16.4

boxplot(dat3)

  1. Skewed left