3.4

5 z score for 34 week baby = -.303 z score for 40 week baby = -.43

7 The 75 inch man is relatively taller

9 Clayton Kershaw had a relatively better year compared to his league because his score was 2.3 st dev below the average, and Felix’s was only 1.91 below the average

11 The 200 meter backstroke race

13 239

15

  1. In males 3 to 5 months in age, 75 percent of them have head circumferences greater than 41.0 cm and 15 percent of these males have head circumferences smaller than or equal to 41.0 cm.

  2. In 2 yr old females, 90 percent of them will have a waist circumference of 52.7 cm or smaller. Only 10 percent of these females will have a larger waist circumference.

  3. As the ages increase on the chart, the heights at each percentile decrease. That would mean that in these men aged 20 and older, the heights are increasing.

22

  1. (hint the mean = 10.08, standard deviation = 1.885), z = -1.21 This means that Blackie has a hemoglobin level that is 1.21 st dev below the mean hemoglobin level

  2. Q1 = 8.9 Q2 = 9.95 Q3 = 11.2

  3. IQR = 2.3

  4. Lower Fence = 6.6 Upper Fence = 13.5 There is one lower outlier

25 The cutoff point is 581.5 minutes of phone use

3.5

3

  1. this data is skewed to the right

  2. 0 1 3 6 16

4

  1. this data is relatively normally distributed

  2. -1 2 5 8 11

5

  1. 40

  2. 53

  3. y has a larger dispersion because it’s box plot is much more spread out and it’s upper and lower whiskers extend further

  4. it is relatively normally distributed, the median falls in the middle of the box and the whiskers are of similar length

  5. it is somewhat skewed to the right, the median is more to the left and the right whisker is longer

6

  1. 16

  2. 22

  3. y has a larger dispersion because its box is larger and it’s whiskers extend further

  4. x has an upper outlier at 30

  5. y is skewed to the left because its median is to the right on the box and its left whisker is much longer than the right one.

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. this data appears to be normally distributed because the median falls equally between quarter one and three, and both whiskers are of similar length.

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 10.0 11.2 16.4

boxplot(dat3)

  1. this data is skewed slightly to the right, the median falls a little to the left in the box and the right whisker is longer than the left one.