Statistics - Unit 2 Lecture 1 Worksheet
Name: ________________________
2013
Date: ___________________
Describing Distributions with Numbers Part 1
Today: Unit 2 Lecture 1 Worksheet: ! Describing Distributions with Numbers Part 1
Homework: FInish this Lecture 1 Worksheet
1) Finding the median:
a) Find the median of the numbers
8
4
9
1
3
b) Find the median of the numbers
8
4
1
9
1
5
2) Find the median M, the first quartile Q1 , and the third quartile Q3 for the following data.
15
8
2
6
12
1
5
1
24
19
Statistics - Unit 2 Lecture 1 Worksheet
2013
3) Given the following side-by-side boxplot:
a) Which has a higher maximum?
b) Which has a higher median?
c) Which has a higher Q3 value?
d) Which has a higher Q1 value?
e) Which has a greater spread?
f) Which has a greater Inter-quartile range?
2
Statistics - Unit 2 Lecture 1 Worksheet
2013
4) Construct side-by-side boxplots to compare the home run hitting performance of Babe Ruth, Roger
Maris, Mark McGwire, and Barry Bonds.
Here are the numbers of home runs that Babe Ruth hit in his 15 years with the New York Yankees:
54
59
35
41
46
25
47
60
54
46
49
46
41
34
22
Roger Maris had these home run totals in his 10 years in the American League:
13
23
26
16
33
61
28
39
14
8
Here are Mark McGwire’s home run counts for 1987 to 2001:
49
32
33
39
22
42
9
9
39
52
58
70
42
40
37
65
32
29
Here are Barry Bond’s home run statistics from 1986 to 2002:
16
25
24
19
33
25
34
46
37
33
3
34
49
73
46
Statistics - Unit 2 Lecture 1 Worksheet
2013
5) Is Barry Bonds home run year of 73 an outlier? Why or why not?
6) Is Roger Maris home run year of 61 an outlier? Why or why not?
7a) Use the TI-83/84 to create a side-by-side boxplot comparing the home run production of Barry
Bonds, with that of Hank Aaron.
Bonds numbers:
16 25 24 19
33
25
34
46
37
Aaron’s numbers:
13 20 24 26 27
29
30
32
34
33
34
42
38
40
39
37
40
34
40
b) Notice Bonds’ high outlier. How would you compare the data?
4
49
44
73
44
46
44
44
45
47