3.4

  1. 5% of males 36 months of age weigh less than or equal to 12.0kg

  2. 95% of mewborn females are less than or equal to 53.8cm in length

  1. 25% of the states have a violent crime rate that is 252.4 crimes per 100,000 population or less. 75% of states have a violent crime rate more than 252.4. 50% of the states have a rate of 333.8 or less and 50% of the states have a rate more than 333.8.

  2. 202

  3. yes

  4. skewed right because the tail end of the data

3.5

  1. skewed right

  2. 0, 1, 3, 6, 16

  1. symmetric

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

  1. 40

  2. 52

  3. y because the distance between the 1st and 3rd quartile is larger than in x

  4. Symmetric

  5. skewed right

  1. 16

  2. 34

  3. y because the distance between the 1st and 3rd quartile is larger than in x

  4. yes - 30

  5. variable y is skewed left. The median is to the right of the center of the box so the distance from M to Q1 is more than the distance from M to Q3. The left whisker is longer than the right whisker.

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)

  1. the box plot is skewed left. The median is to the right of the center of the box. The distance between Q1 and Q2 is larger than the distance between Q2 and Q3.