3.4

5 z-score 34 weeks = -.30 ; z-score 40 weeks = -.425 The 40 week baby weighs less relative to the gestation period

7 The male would be relatively taller because they have a larger z-score

9 Clayton Kershaw had the better year because his z-score was 2.302 below the average, while Felix Herandez was 1.91 below the average.

11 Ryan is better at the 100 meter race because he is 3.39 below the average, compared to 3.05 in the 200 meter race.

13 The minimum score would be a 239

15

  1. 15% of babies have a head circumference less than or equal to 41.0, 85% of babies have a head circumference more than 41.0 cm.

  2. 90% of 2 year olds have a waist that is less than or equal to 52.7 cm while 10% have a waist greater than 52.7

  3. As the age increases the percentile of height decreases, therefore indicating men are getting taller as they age

22

  1. -.6813

  2. Q1= 9.15 Q2 = 9.95 Q3= 11.1

  3. 1.95

  4. LF= 6.225, UF= 14.025 One lower outlier

25 cutoff point = 574.25

3.5

3

  1. right skewed

  2. 0, 1,3, 6, 16

4

  1. bell shaped

  2. -1, 2, 5, 8, 12

5

  1. 40

  2. 52

  3. y because it’s more spread out

  4. bell shaped because equal on both sides and small range

  5. right skewed because the right line is bigger

6

  1. 15

  2. 22

  3. y because the graph has a wider range

  4. yes, the value is 29

  5. left skewed because the left line is longer

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, 54, 57, 68

boxplot(dat3)

  1. slightly right skewed because it appears that the right tail is a little bit longer than the left one.