3.4

5 34 week: -.30; 40 week: -.43; the 40 week gestation baby weighs less

7 75 inch man

9 Kershaw had the better year because he was more standard deviations away from the mean than Hernandez was

11 the 100m backstroke

13 239

15

  1. 15% of children aged 3 to 5 months have a head circumference that is equal to or less than 41.0cm, while 85% have a head circumference that is larger than 41.0cm

  2. 90% of 2 year old females have a waist circumference that is equal to or less than 52.7cm, while 10% have a waist circumference that is greater than 52.7cm

  3. I would conclude that height decreases in each percentile as the age increases

22

  1. (hint the mean = 10.08, standard deviation = 1.885), -1.21, the cat’s hemoglobin is 1.21 standard deviations below the mean

  2. 9.15 g/dL, 9.95 g/dL, and 11.2 g/dL

  3. IQR=1.95 g/dL which is Q3-Q1 in the data set

  4. lower fence=6.23g/dL, upper fence=14.03g/dL, and the outlier is 5.7g/dL

25 574 mins is the cut off point

3.5

3

  1. skewed right

  2. 0,1,3,6,16

4

  1. symmetric

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

5

  1. 40

  2. 52

  3. y, because it covers more values on the number line

  4. symmetric, because the box is in the center of the line

  5. skewed right, because the line stretches out much farther to the right

6

  1. 16

  2. 22

  3. y, because its box covers more of the number line

  4. yes, 30 is the outlier

  5. skewed left, because its line stretches out farther to the 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. the distribution is symmetric

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, 9.0,10,11.2,16.4

boxplot(dat3)

  1. the distribution is skewed right