Section 1: Data Terms and Displaying Data
1)
Is this distribution symmetric, right-skewed, left-skewed, unimodal, bimodal?
2) Sketch a distribution that is left-skewed and bimodal.
3) Suppose that you and your friends emptied your pockets of coins and recorded the year on each coin. Would this distribution be right or left skewed or symmetric?
4) Statistics Exam Scores:
60 |
47 |
82 |
95 |
88 |
72 |
67 |
66 |
68 |
98 |
90 |
77 |
86 |
58 |
64 |
95 |
74 |
72 |
88 |
74 |
77 |
39 |
90 |
63 |
68 |
97 |
70 |
64 |
70 |
70 |
58 |
78 |
89 |
44 |
55 |
85 |
82 |
83 |
72 |
77 |
72 |
86 |
50 |
94 |
92 |
80 |
91 |
75 |
76 |
78 |
|
|
|
|
|
(a) Make a stemplot of these scores. Describe its general features.
(b) Make a histogram of these scores using ranges of 35 to less than 45, 45 to less than 55, etc. Describe its general features.
5.) A survey of the annual salaries of 100 resort club managers resulted in:
annual salary ($1000s) |
15-25 |
25-35 |
35-45 |
45-55 |
55-65 |
frequency |
12 |
37 |
26 |
19 |
6 |
(a) Using the usual convention, $25,000 belongs to which class?
(b) Make a frequency histogram of the annual salaries of these resort club managers.
6.) Third graders at Roth Elementary School were given a physical-fitness test. Their scores were:
12 |
22 |
6 |
9 |
2 |
9 |
5 |
9 |
3 |
5 |
16 |
1 |
22 |
18 |
6 |
12 |
21 |
23 |
9 |
10 |
24 |
21 |
17 |
11 |
18 |
19 |
17 |
5 |
14 |
16 |
19 |
19 |
18 |
3 |
4 |
21 |
16 |
20 |
15 |
14 |
17 |
4 |
5 |
22 |
12 |
15 |
18 |
20 |
8 |
10 |
13 |
20 |
6 |
9 |
2 |
17 |
15 |
9 |
4 |
15 |
14 |
19 |
3 |
24 |
|
|
|
|
|
|
(a) Make a stemplot of these scores.
(b) Make a split-stem stemplot of these scores.
(c) Make a histogram of these scores using ranges of 1 to less than 7, 7 to less than 13, 13 to less than 19, and 19 to less than 25. Describe its general features.