Hw4_skeleton

3.4

• 1. z-score
• 2. kth percentile
• 3. quartiles
• 4. interquartile range
• 5. 34-week gestation period baby z-score= -.30 40-week gestation period baby z-score= =.43 The 40-week baby weighs less relative to the gestation period.
• 6. 34-week gestation period baby z-score= 0.61 40-week gestation period baby z-score= 0.85 The 34-week baby weighs less relative to the gestation period.
• 7. The 75-inch man is relatively taller.
• 8. The 62-inch woman is relatively taller.

1. 5% of males 36 months of age weigh 12kg or less. 95% of males 36 months of age weigh more than 12kg.

2. 95% of newborn females are 53.8cm or less. 5% of newborn females are longer than 53.8cm.

1. 25% of the states have a violent-crime rate that is 252.4 crimes per 100,000 population or less and 75% of the states have a violent-crime rate more than 252.4. 50% of the states have a violent that is 333.8 crimes per 100,000 populaiton or less while 50% of the states have a violent-crime rate more than 333.8. 75% of the states have a violent-crime rate that is 454.5 crimes per 100,000 population or less, and 25% of the states have a violent-crime rate more than 454.5.

2. IQR=454.5-252.4= 202.1; The middle 50% of the observations have a violent-crime rate of 202.1 violent crimes per 100,000 population.

3. Upper Fence= 757.65 Lower Fence= -50.75

Yes, the violent crime rate of 1243.7 is an outlier because it is above the upper fence. 1243.7>757.65

4. The distribution is skewed to the right because (Q3-Q2)>(Q2-Q1).

3.5

• 1. Minimum, Q1, Median, Q3, Maximum
• 2. skewed right

1. skewed right

2. MIN=0, Q1=1, MEDIAN=3, Q3=6, MAX=16 or (0,1,3,6,16)

1. symmetric

2. MIN=-1, Q1=3, MEDIAN=5, Q3=8, MAX=11 or (-1,3,5,8,11)

1. MEDIAN= 40

2. Q3= 53

3. Variable y because the data is spread over more values than variable x. Variable y has a larger range than x.

4. Symmetric because the median is relatively centered and (median-Q1)=(Q3-median). Additionally, (Q1-min)=(max-Q3).

5. Skewed right because (max-Q3)>(Q1-min) and (Q3-median)>(median-Q1).

1. MEDIAN= 16

2. Q1= 24

3. Variable y has a larger range than variable x and therefore has more dispersion.

4. Yes, there is one outlier that is 29.

5. Skewed left because (Q1-min)>(max-Q3) and (Q3-med)<(med-Q1)

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. Skewed left because the boxplot indicates that (max-Q3)<(Q1-min) and (Q3-median)<(median-Q1).