3.4

5 34 week gestation…z = -.30

40 week gestation…z=-.43

The 40 week gestation baby weighs less relative to the gestation period.

7 75 inch man z = 1.8

70 inch woman 2 = 1.55

The 75 inch man is relatively taller than the 70 inch woman.

9 Kershaw z = -2.3 Hernandez = -1.91

Kershhaw had the better year relative to his peers.

11 100 meter z = -3.39 200 meter z = -3.05 Ryan is better in the 100 meter backstroke.

13 The minimum score is 239.

15

  1. 15 percent of males 3 to 5 months have a head circumfrence of 41 cm or less and 85 percent have one that is greater.

  2. 90 % of 2 year old females have a waist circumference less than 52.7 cm and 10 % have one that is greater.

  3. Aside from 40 - 49, the heights of each percentile decrease, which implies that adult males are getting taller.

22

  1. (hint the mean = 10.08, standard deviation = 1.885), z = -1.21

  2. q1 = 9.15 q2 = 9.95 q3 = 11.1

  3. IQR = 1.95

  4. 6.225 is lower fence…upper fence is 14.025…5.7 is an outlier

25 574 minutes

3.5

3

  1. Skewed Right.

  2. 0, 1, 3, 6, 16

4

  1. Normal distribution.

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

5

  1. 40

  2. 52

  3. Y. Broader range and IQR.

  4. Symmetric. Median is near the center of the box and the lines are about the same length.

  5. Skewed right. Median is to the left and the right line is substantially longer.

6

  1. 16

  2. 22

    1. Larger IQR and Range.

  4. Yes, 30

  5. Skewed Left. Median is to the right of the box, and the line on the left 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, 50.5, 54.5, 57.5, 69

boxplot(dat3)

  1. Approximately symmetirc with one 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. 7.2, 9.05, 10, 11.2 ,16.4

boxplot(dat3)

  1. Skewed right. The tail on the right is much longer, and the median is to the left of the iqr.