33— title: “HW2_skeleton” author: “Harrel Blatt” date: “July 8, 2016” output: html_document —

3.1

13. median=$2,209, mean=$2025.25 mode=nonexistant

14. median=40.76 mean=41.41 mode=nonexistant

15. median=3830 mean=3670 mode=4090

16. mean=266 median=266 mode=260

17.

 a) The graph is skewed right because the mean is larger than the median
 
 b) the graph is symmetrical because the mean and median are almost equivelent to eachother.
 
 c) the graph is skewed left because the mean is less than the median.

3.2

5. S^2=36 S=6

6. S^2=100 S=10

7. σ=4 σ^2=16

8. σ=8 σ^2=64

9. S=14 S^2=196

10. σ=5 σ^25

14. Range: 25 (257-282) S=8.426 S^2=71

3.4

5. The 40 week baby weighs less in relation to to the gestation period.

7. The man is taller relative to the mean that the woman is.

9. In relation to their respective leagues, Johnson had a better year than Hernandez did.

11. Power had a more convincing victory at the Sonoma race because his time was faster in relation to the average.

13. The minimum score is 239

15.

    a.) 15% of 2-5 month males head circumferences is 41.0cm or less. 85% are bigger than 41.0cm.
    
    b.) 90% of 2 year old females waists are 52.7cm in circumference or less. 10% are more than 52.7cm
    
    c.) The data shows two points--men get shorter as they age and the younger generations are taller than the older generations.

22. µ=10.08 σ=1.84

    a.) -1.239
    
    b.) Q1=9.15 Q2=9.95 Q3=11.1
    
    c.) IQR=1.95
    
    d.) LF= 6.225 UF=14.025 There is one outlier--5.7

25. MIN=345 Q1=433 Q2=466 Q3=489.5 MAX=549 IQR=56.5 UF=574.25 LF=348.25

3.5

3.

    a.) shape: right skewed
    
    b.) min: 0 Q1: 1 Q2: 3 Q3: 6 max: 16

4.

    a.) shape: symmetrical
    
    b.) min: -1 Q1: 2 Q2: 5 Q3: 8 max: 11

5.

    a.) X median: 40
    
    b.) Y Q1: 55
    
    c.) the Y plot is more disperse because the quartiles cover more of a range and the max and min are futher spread out.
    
    d.) The X box plot is symmetrical because the data is pretty central around the median.
    
    e.) The y box plot is right skewed because the median is centered on the left side and the data extends out on the right side.
    
    
    

6.

    a.) X median: 16
    
    b.) Y Q1: 22
    
    c.) Y is more disperse because it has a greater range
    
    d.) The X outliers are 29
    
    e.) right skewed because the mean is centered to the right and the data extends out to the left side.

7. please do this problem by hand on paper.

8. please do this problem by hand on paper.

9. please do this problem by hand on paper. The five # summary is 42,50.5,54.5,57.5,69

10. please do this problem by hand on paper. The five # summary is 7.2,9.0,10.0,11.2,16.4