3.4

5 type answer 34-week gestation: z=-0.3 40-week gestation:-0.43 the 40-week gestation baby weighs less relative to the gestation period. 7 type answer 75-inch man: z=1.8 70-inch woman: z=1.55 the 75-inch man is relatively taller than the 70-inch woman. 9 type answer Clayton Kershaw: z=-2.30 Felix Hermandez: z=-1.91 Kershaw had the better year relative to his peers 11 type answer 100-meter backstore: z=-3.39 200-meter backstore: z=-3.05 Ryan is better in the 100-meter backstore. 13 type answer X-200=1.5*26=239 15

  1. type answers 15% of 3- to 5-month -old males have a head circumference that is 41.0 cm or less.
  2. type answers 90% of 2-year-old females have a waist circumference that is 52.7 cm or less.
  3. type answers the heights at each percentile decrease as the age increases.

22

  1. (hint the mean = 10.08, standard deviation = 1.885), type answer z=-1.2
  2. type answer Q1=(8.9+9.4)/2=9.15 Q2=(9.9+10.0)/2=9.95 Q3=(11.0+11.2)/2=11.1
  3. type answer Q3-Q1=11.1-9.15=1.95
  4. type answer LF=6.225 UF=14.025 OUTLIER:5.7

25 type answer Q1=433MIN Q3=489.5MIN IQR=56.5MIN UP=574.25MIN 3.5

3

a)SHAPE: skewed right

b)0,1,3,6,16

4

a)symmetric

b)0,2,5,8,11

5

  1. 40
  2. 52
  3. y, because y has much broader range.
  4. symmetric, because the median is in the center of the box and the horizontal lines are at the same length

  5. skewed right, because the right horizontal line is much longer than the left one. 6

  6. 16
  7. 22
  8. y,because y has much more broader range.
  9. yes, 30

  10. left skewed, because the left line is much longer than the right one. 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. type answer (note data is in order) Q2=M=54.5 Q1=50.5 Q3=57.5 42,50.5,54.5,57.5,69
  2. IQR:7 LF=40 UF=68 outlier:69
boxplot(dat3)

  1. type answer symmetric,because the median is in the center of the box and the horizontal lines are at the same lines.

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. type answer (note data is in order) 7.2 9.2 10.2 11.2 16.4
boxplot(dat3)

  1. type answer right skewed,because the right line is longer than the left one.