3.4

5 -.30, -.43, the 40-week is less relative to the gestation period

7 The 75-inch man

9 Clayton Kershaw because got -2.30 standard deviation above the mean and Felix got -1.79

11 Ryan did better in the 100-meter race with a z-score of -3.39, lower than the z-score -3.05 in the 200-meter

13 239

15

  1. 15% of males 3-5 months have head circumferences 41.0 cm or less

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

  3. the height of each percentile decreases as the ages increases

22

  1. Blackie has a z-score of -1.2

  2. 9.15, 9.95, 11.1

  3. IQR = 1.95

  4. LF = 6.23, UF = 14.03 the UF is an outlier

25 The cutoff point is 574.25 minutes

3.5

3

  1. skewed right

  2. 0,1,3,6,16

4

  1. symmetric

  2. -1,3,5,8,11

5

  1. 40

  2. 52

  3. y

  4. symmetric because the distance from M to Q1 and Q3 M are the same

  5. skewed right because the distance from Q3 to M is larger than m to Q1

6

  1. 15

  2. 21

  3. y

  4. yes, the value is 30

  5. left skewed because the tail is longer 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. 42, 50.5, 57.5,69

boxplot(dat3)

  1. symmetric, but has an outlier