3.4

5 34-week zscore: -0.3 40-week zscore: -0.42 The 40 weeks gestation baby weights less.

7 men zscore: 1.8 women zscore: 1.56 so men is relatively higher

9 C.K. zscore: -2.3 F.H. zscore: -1.91 F.H. had a better year

11 100m backstroke zscore: -3.4 200m backstroke ascore: -3.1 Ryan is better at 200m backstroke race

13 239

15

  1. 15% of males between 3 and 5 months of age have a head circumference of 41.0 cm or less.

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

  3. The heights at each percentile decrease as the age increases

22

  1. -1.21

  2. 9.15, 9.95, 11.1

  3. range of middle 50%=1.95

  4. 6.23, 14.03 yes 5.7

25 574

3.5

3

  1. skewed right

b)0, 1, 3, 6, 16

4

a)symmetric

b)-1, 2, 5, 8, 11

5

a)40

b)52

c)y is larger than IQR

d)symmetric because the distance from M to Q1 and from M to Q3 is roughly the same.

e)skewed right

6

a)16

b)22

c)yis larger than IQR

d)yes 30

e)skewed left, because the M is right to the center of the box, the distnca between M and Q3 smaller than the distance from M to Q1.

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. Minimum = 42; Q1 = 50; M = 54.5; Q3 = 59; Maximum = 69

boxplot(dat3)

  1. The distribution shape is symmetric.