Hw4_skeleton

3.4

• 1. Z Score
• 2. Kth percentile
• 3. Quartiles
• 4. IQR
• 5. Z score 34 weeks= -.30, Z score 40 weeks= -.43 The 40 week old baby is .43 below the mean, making the baby weigh less relative to the gestation period.
• 6. Z score 34 weeks= .61, Z score 40 weeks= .85 The 40 week old baby is .85 above the mean, while the 34 week old baby is .61 above. The 34 week old baby weighs less relative to the gestation period.
• 7. Z score for the man= 1.8, Z score for the woman= 1.5 The man is taller, relatively, because he is .3 inches larger than the woman is to the median.
• 8. Z score for the man= -.89, Z score for the woman= -.55 The woman is taller, relatively, because she is closer to the mean.

1. 5% of the weight of males 36 months of age are less than or equal to 12KG. 95% of the weight of males 36 months of age are more than 12KG.

2. 95% of newborn females are equal to or less than the length of 53.8cm. 5% of newborn females are larger than the length of 53.8cm.

1. 25% of the states have a violent crime rate of 252.4, and 75% of them have a crime rate larger than this. 333.8=m. 50% of the states have a violent crime rate of 333.8 or less, and 50% of them have a crime rate higher. 75% of the states have a violent crime rate of 454.5 or lower, and 25% of them have a crime rate that is higher.

2. Q3-Q1=202.1 202.1 is the range of the middle 50% of the data.

3. Yes, because the upper outlier value is 757.65, and 1243.7 is above this.

4. The difference between Q1 and Q2 is less than that of Q2 and Q3, therefore the data would be skewed right.

3.5

• 1. Minimum value, Q1, median(Q2), Q3, maximum value.
• 2. Right skewed.

1. Right skewed

2. 0, 1, 3, 6, 16

1. Symmetric

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

1. 40

2. 52

3. The variable Y has more dispersion because the range for that set is wider, which can be seen in the span of lines.

4. Symmetric, because the mean is in the center of the box and the lines look about equal.

5. Right skewed, because the mean is towards the left portion of the box, with the line extending longer to the right.

1. 16

2. 22

3. Y has more dispersion. It has a broader range of values.

4. Yes, *=29

5. Variale Y is left-skewed. This is because the median is closer to the right and the left line is longer than 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. .598, .605, .608, .610, .612 Left skewed, because the distance from Q1 to the lower is larger than the distance from Q3 to the largest, Making the line on the left stretch out longer. The median is also closer to Q3, to the right of the box plot.