3.4

Questions:

5 type answer -.303, -.425, the baby weighing 3300 is less relative to the gestation period

7 type answer The man is taller 9 type answer The National League player, because he is closer to the mean in terms of standard deviations.

11 type answer He is better at the 100 backstroke.

13 type answer 239

15

  1. type answers 15 % of males 3 to 5 months of age have a head circumference of 41.0 cm or less

  2. type answers 90 % of females who are 2 years old have a waist circumference of 52.7 cm or less

  3. type answers As age increases, the height at each percentile gets smaller, so the males are getting taller

22

  1. (hint the mean = 10.08, standard deviation = 1.885), type answer z=1.209, the mean of this sample is 1.209 standard deviations away from the population mean.

  2. type answer Q1= 9.15, Q3= 11.1

  3. type answer 1.95 g/dL of hemoglobin lie between Q1 and Q3–the 25th and 75th percentile

  4. type answer Lower=6.225 Upper=14.025, 5.7 is an outlier

25 type answer 574 minutes

3.5

3

  1. Skewed right

  2. Min=0, Q1=1, Median=3, Q3=6, Max=16

4

  1. Bell shaped

  2. -1, 2, 5, 8, 12

5

  1. 40

  2. 52

  3. y

  4. Symmetric

  5. Skewed right

6

  1. 16

  2. 9

  3. y is, because the data is more spread out and has a larger standard deviation than x does.

  4. Yes, 29

  5. Skewed left–the majority of the data is toward Q1 of the boxplot

7

dat1 <- c(60,68,77,89,98)

boxplot(dat1)

8

dat2 <- c(110,140,157,173,205)

boxplot(dat2)

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) 42, 50.25, 54.5, 57.75, 69

boxplot(dat3)

  1. type answer This data centers around the median, and is bell curve shaped

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, 9.05, 10, 11.2, 16.4

boxplot(dat3)

  1. type answer This distribution is more clustered around Q3, away from the mean.