3.4

5 -0.3; -0.43; 40 week gestation babay weighs less relative to gestation period

7 Man relatively taller

9 Clayton Kershaw ahd better year because ERA was 2.30 standard deviations below NL mean ERA, while Hernandez was only 1.9 standard deviations.

11 Ryan is 3.39 standard deviations below mean in the 100 m back and 3.05 standard deviations below mean in 200 m back. Ryan is better at 100 m race

13 239

15

  1. 15% 3-5 month od babies w/ 41.0 m or less, 85% of 3-5 month old males > 41 cm

  2. 90% of 2 year old females waist circumference < 52.7 cm. 10% > 52.7 cm

  3. Heights at each percentile decreases as age increases

22

  1. (hint the mean = 10.08, standard deviation = 1.885), 1.210

  2. Q1 = 9.15 Q2 = 9.95 Q3 = 11.1

  3. IQR = 1.95

  4. Lower Fence:6.225 Upper Fence: 14.025

25 Cutoff point is 574 minutes

3.5

3

  1. skewed right

  2. 0,1,3,6,16

4

5

  1. 40

  2. 52

  3. y

  4. symmetric

  5. skewed right

6

  1. 16

  2. Q1 = 12.5 Q3 = 21

  3. Y because the IQR for y is larger than x’s IQR

  4. Yes, because 33.75 > 29

  5. Skewed Left

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. 42, 50.5, 54.5, 57.5, 69

boxplot(dat3)

  1. symmetric with an outlier

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. 7, 8.9 ,10, 11.3, 16.4

boxplot(dat3)

  1. slightly skewed right