3.4

  1. z score for 34 week is -0.303. Z score for 40 week is -0.4255. Baby 40 week weighs less relative to the gestation period because it is the higher negative number so it is a greater magnitude standard devition below the mean.

  2. The man is relativley taller because the z score of the man is 1.80 and the z score of the woman is 1.55. This means that the man is a higher magnitude of standard deviations above the mean therefore he is relativley taller.

9.Kerhsaw had the better year relative to his peers because he had a z score of -2.30 but Hernandez only had a z score of -1.91. In this case a lower ERA is better so that would mean that Kershaw had the better year.

  1. Ryan is better in the 200 meter back stroke because he has a z score of -3.39 in the 100m and a z score of -3.05 in the 200m. This means that he is a greater magnitude away of standard deviations below the mean in the 100 meter so therefore he is better in the 200m.

13 The lowest score possible is a 239 to be accepted.

15

  1. This means that 15 % of male head circumference ages 3 50 5 month is 41.0 cm or less. This also means that 85 % of males head circumferences ages 3 to 5 months old is greater than 41 cm.

  2. This means that 90% of femlaes waist circumference at age 2 is either 52.7 cm or below. This also means that 10% of femlaes circumference at age 2 is greater than 52.7 cm.

  3. The data shows that the height of each percentile decreases as age increases. (except for 40-49 ages.)

22

  1. (hint the mean = 10.08, standard deviation = 1.885), -1.21

  2. Q2 (median) = 9.95 Q1: 9.15 Q3: 10.65

  3. Q3-Q1 = 10.65-9.15 = 1.5

  4. LF: 9.15 - 1.5(1.5)= 6.9 UF: 10.65+ 1.5(1.5) = 12.9 There are no outliers in this data.

25 type answer

3.5

3

a)Skewed right becuase most left and tail is long right

  1. five number summary = 0,1,3,6,16

4

a)bell curve/ symmetric

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

5

  1. 40

  2. 52

  3. y because it is more broad as it spans more lines across the graph.

  4. symmetric/ bell curve because there is an equal whisker length on either side and the box width from the Q2 divisions are equal as well meaning that the medial is nea the center of the box.

  5. y is skwed right because the median is to the left of center and the right line is longer than the left line.

6

  1. 16

  2. 22

  3. y because it spans across the graph more and is more broad

  4. yes. 30.

  5. skwed to the left. This is because the median is to the right of the center and the left line is longer that the right line.

7 (box plot given and no further questions, not sure what else is being asked for?)

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

boxplot(dat1)

8 (box plot given and no further questions, not sure what else is being asked for?)

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. (note data is in order) 42, 50, 54, 57, 68

  2. below

boxplot(dat3)

  1. shape is symmetric/ bell shaped. This is because the median is mainly on the center of the box plot and equal length of whiskers on each side.

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. (note data is in order) 7, 9, 10, 11, 14

  2. below

boxplot(dat3)

  1. skewd to the right becuase the median is to the left of hte center and the right horizontal line is longer.