Hw4_skeleton

3.4

• 1. Z-score
• 2. Kth percentile
• 3. Quartiles
• 4. Interquartile range
• 5. Z-score 34th week:-0.303030303 Z-score 40th week:-0.425531915 The 40th week baby weighs less relative to the gestation period.
• 6. Z-score 34th week:0.606060606 Z-score 40th week:0.85106383 The 34th week baby weighs less relative to the gestation period.
• 7. The man is relatively taller (z-score of 1.8 compared to woman z-score of 1.55)
• 8. The woman is relativly taller (z-score of -0.55 compared to man z-score of -0.86)

1. 5 % of the babies weigh 12 kg or less and 95 % weigh more

2. 95 % of the babies are 53.8 CM long or smaller, while 5 % are longer than 53.5 cm.

1. You can interpret the quartiles as percentages. This means that 25 % of the states have a violent crime rate on 252.4 or less, 50 % of the states have a violent crime rate on 333.8 or less and 75 % of the states have a violent crime rate on 454.5 or less. This must mean that 25 % of the states have a violent crime rate on more than 454.5. This is all per 100,000 population.

2. IQR = 202,1 which means that the middle 50 % of all observations have a range of 202,1.

3. Yes because it is above the upper fence of 757.

4. It is right skewed because Q2-Q1 is smaller than Q3-Q2.

3.5

• 1. Minimum value, Q1, median, Q3, maximum value
• 2. Right

1. Right skewed

2. Minimum value = 0, Q1 = 1, median = 3, Q3 = 6, Maximum value = 16

1. Symmetrical

2. Minimum value = -1, Q1 = 2, median = 5, Q3 = 8, Maximum value = 12

1. 40

2. 54

3. y - there are more numbers betwenn Q1 and Q3

4. Symmetric. The median is in the center of the box so the distance to Q1 and Q3 from the median is the same. The whiskers are the same length as well.

5. right skewed, as the right whisker is longer than the left, and the median is to the left in the box, making the distance from M to Q3 greater than the distance from M to Q1.

1. 15

2. 22

3. Y, because there are more numbers between Q1 and Q3 and the whiskers are longer

4. Yes, an outlier at 30

5. Left skewed, because the median is to the left in the box and the right whisker is longer than the left.

• 12. Lower fence - 0.595, Q1 - 0.604, M - 0.608, Q3 - 0.610, upper fence - 0.619. Left whisker begins at 0.598 and right whisker ends at 0.612

data <- c(.608,.608,.608,.610,.612,
          .601,.610,.608,.607,.598,
          .606,.610,.605,.611,.600,
          .602,.607,.609,.608,.605,
          .611,.600,.605,.610,.603)

boxplot(data,horizontal = T)

2. It is left skewed as the left whisker is longer, and the distance between M and Q3 is smaller than the distance between M and Q1