3.4

5 Z score for 34 week baby= -0.3030, Z score for 40 week baby= -0.4255. The 40 week baby weighs less relative to the gestation period

7 The 75 inch man is taller since his Z score is higher than that of the women i.e 1.8>1.55

9 Clayton Kershaw had a better year compared to felix hernandez, Since he yielded lower runs i.e Kershaw -2.3< -1.87 Fernandez.

11 Ryan is better at 100m backstroke since his Z score is -3.38 for it and for 200m backstroke it is -3.05 as -3.38 < -3.05 thus, he is faster in 100m backstroke

13 239

15

  1. This statement means that 15% males 3-5 months of age have head circumfrence of lower than or equal to 41.0cm.

  2. This statement means that 90% of females 2 years of age have waist circumfrence lower than or equal to 52.7cm.

  3. This table makes us conclude that height at each percentile decreases as age increases, exluding 40-49 age group

22

  1. Z Score= -1.21

  2. Q1= 9.15 (g/dL); Q2= 9.95 (g/dL); Q3= 11.1 (g/dL).

  3. IQR= 1.95;

  4. Upper fence= 14.025; Lower Fence=6.225; lower outlier= 5.7; upper outlier= n/a

25 574.25 minutes is cutoff point thus as soon as customer reaches 574 minutes he is contacted.

3.5

3

  1. skewed right

  2. Minimum= 0; Q1=2, Q2=3, Q3=6, Max=16.

4

  1. bell shaped

  2. Minimum= -1, Q1=2,Q2=5,Q3=8, Maximum= 11.

5

  1. Median for x= 40

  2. Q3= 52

  3. variable y has more despersion since its fatter than variable x’s box plot.

  4. bell shaped; since both sides are approximately symetrical and both lower and upper quartile are the same distance away from the median.

e)Skewed right; since median is left to the center and the right side line is longer than the left side one.

6

  1. 16

  2. 22

  3. variable y has more despersion since its boxplot is fatter than the boxplot of variable x

  4. No the outlier value is not on the maximum value of the box-plot and is outside the graph, hence variable x has no outliers.

  5. skewed left; since the median is towards the right side and the left-side line is longer than the right side line.

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=50.5, Q2= 54.5, Q3=57.5, Maximum=69

boxplot(dat3)

  1. Bell-shaped; since the median is at approximate centre and both lines are approximately equal.