Hw4_skeleton

3.4

• 1. z-score
• 2. Kth percentile
• 3. Quartiles
• 4. Interquartile range
• 5. z-score of 34-week baby = -0.30 z-score of 40-week baby = -0.43 The 40-week gestation period baby weighs less relative to the gestation period.
• 6. z-score of 34-week baby = 0.61 z-score of 40-week baby = 0.85 The 34-week gestation period baby weighs less relative to the gestation period.
• 7. A 75-inch man is relatively taller.
• 8. A 62-inch woman is relatively taller.

1. 95% of males 36 months of age weight more than 12.0 kg.

2. 5% of females newborns are longer than 53.8 cm.

1. 25% of states have a violent crime rate of 252.4 or less per a population of 100,000, while 75% of states have a violent crime rate that is greater than 252.4. 50% of states have a violent crime rate that is less than or equal to 333.8, while 50% of states have a violent crime rate of greater than 333.8. 75% of states have a violent crime rate less than or equal to 454.5 per a population of 100,000, while 25% of states have a violent crime rate of greater than 454.5.

2. The range of the middle 50% of the observations have a range os 202.1 crimes per a population of 100,000.

3. Yes.

4. It is right skewed, because the drifference between Q1 and Q2 is smaller than the difference between Q2 and Q3.

3.5

• 1. Minimum, Q1, M, Q3, Maximum
• 2. The distribution is skewed right

1. Right skewed

2. 0, 1, 3, 6, 16

1. Symmetric

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

1. M = 40

2. Q3 of variable y = 52

3. Variable y has more dispersion because the data set has a wider range of numbers. The data is more spread out.

4. Variable x is symmetric because the median is in the center of the box and the whiskers are about the same length. The distance between the M and Q1 is is about the same as the distance between the M and Q3.

5. Variable y is skewed right because the median is left of the center of the box, and the left whisker is smaller than the right whisker. The distance between the M and Q1 is shorter than the distance between the M and Q3.

1. median of varible x = 16

2. Q1 of varible y = 22

3. Varible y is more dispersed because it had a wider range of numbers.

4. Varibale x does have an ourlier and it is 30.

5. Variable y is left skewed because the median is to the right of the center of the box.

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. The boxplot is left skewed because the median is to the right of the center of the box. The distance betweent the median and Q1 is greater than the distance between the median and Q3.