3.4

5 -0.30 , -0.43 ; the 40-week gestation baby weights less relative to the gestation period

7 The man is relatively taller

9 Kershaw had the better year because his ERA was 2.3 standard devations below the league’s mean ERA. Herhandez’s ERA was 1.91 standard deviations below the league’s mean ERA.

11 Ryan is 3.39 standard deviatons below the mean in 100m race and 3.05 standard deviations below the mean in the 200m race. Therefore, he is better at the 100m race.

13 239

15

  1. 15% of 3 to 5 month old males head circumference’ is 41 cm or less. 85% of 3 to 5 months old males head circumference is greater than 41 cm.

  2. 90% of 2 year females’ waist circumference is 52.7 cm or less. 10% of 2 year old females’ waist circumference is more than 52.7 cm.

  3. The heights at each percentile decrease as age increases. This implies that adult males are getting taller.

22

  1. -1.21. Blackie’s hemoglobin count is 1.21 standard deviations below the average, which implies that Blackie has anemia.

  2. 1st quartile = 9.15 2nd quartile= 9.95 3rd quartile= 11.1

  3. The interquartile range is 1,95.

  4. Lower fence = 6.225 Upper fence = 14.025 Outliers = 5.7

25 The cutoff point is 574 minutes. If more minutes are used, the customer is contacted.

3.5

3

  1. Skewed right

  2. 0, 1, 3, 6, 16

4

  1. Symmetrical

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

5

  1. 40

  2. 52

  3. y

  4. Symmetric

  5. Skewed right

6

  1. 16

  2. 22

  3. y

  4. One outlier, 30

  5. Skewed left

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. Symmetric with an outlier.