Hw4_skeleton

3.4

• 1. z-score
• 2. kth percentile
• 3. Quartiles
• 4. Interquartile Range
• 5. 34 week gestation baby z score= -.30303 40 week gestation baby z score= -.4255 The 40 week gestation baby ways less relative to the gestation period
• 6. 34 week gestation baby z score= .606 40 week gestation baby z score= -.426 The 40 week gestation baby ways less relative to the gestation period
• 7. A 75 inch man is relatively taller
• 8. The 62 inch woman is relatively taller

1. This means that 5% of babies in the 36 month age range are less than or equal to 12.0 kg.

2. This means that 95% of newborn females are less than or equal to 53.8cm.

1. 25% of states have 252.4 crimes per 100,000 people or less & 75% of states have more than 252.4 crimes per 100,000 people.50% of states have 333.8 crimes per 100,000 people or less, and 50% of states have more than 333.8 crimes per 100,000 people. 75% of the states have more than 454.5 crimes per 100,000 people or less and 25% of states have more than 454.5 crimes per 100,000 people.

2. The IQR is 202.1, meaning that the middle 50% of observations have a range of 202.1/100,000 people in the population.

3. Yes

4. Skewed right because Q3 is much larger than Q2 (in comparison to Q2 and Q1). Additionally, the outlier would create a right tail.

3.5

• 1. The five number summary consists of the smallest value, Q1, the median value, Q3, and the largest data value.
• 2. Skewed right

1. Skewed right

2. 0, 1, 3, 6,16

1. Bell shaped

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

1. 40

2. 52

3. Y, because the variables in the 5 number summary are more spaced out.

4. Symmetric because Q1 and Q3 are about the same distance from the median, and the minimum and maximum values are about the same distance from Q1 and Q3.

5. Right skewed because there is a long tail on the right

1. 16

2. 22

3. Y, because the range is larger, the distance between Q1 and the median is large, and theres a big left tail.

4. Yes, 30.

5. Y is left skewed because there is a tail in the left and the median is toward the right.

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. Symmetrical/slightly left skewed