Question

Given the year –by- year home run data for Brady Anderson:

1

0

1

4

3

2

21

13

12

16

50

18

18

24

19

8

1

Use Excel or Mathematica to answer the following questions:

a5. Find the IQR________________________________________

b6. Find the median_________________________

c7. Find the Maximum and Minimum values ____________________________

d8. Are there any outliers or extreme outliers? If so, what are they?_______________

e 9. Produce the boxplot (“box and whiskers”) in Mathematica and copy it here.

f 10. Give the stem-and-leaf plot for the Anderson HR data.

Answer 1

a) quartile , Q1 = 0.25(n+1)th value=   4.5th value of sorted data=   1.5
      
Quartile , Q3 = 0.75(n+1)th value=   13.5th value of sorted data=   18.5
      
IQR = Q3-Q1 =    18.5-1.5=   17.0

b)

Median=0.5(n+1)th value =    9th value of sorted data=   12

c) maximum =    50
minimum=   0

d)

lower bound=Q1-1.5IQR=   -24.00
upper bound=Q3+1.5IQR=   44.00
  
  
outlier =values outside lower bound and upper bound  
total outlier below lower bound=   0
total outlier above upper bound=   1
total outlier =    1

outlier is 50

e)

f)

stem	leaf
0	0 1 1 1 2 3 4 8
1	2 3 6 8 8 9
2	1 4
3
4
5	0