Using the class sample data below, analyze the student heights by completing the following.
1. Construct a frequency distribution of heights using: 8 classes for "Female" data and 7 classes for "Male" data. Calculate the class width. Your frequency distribution should include a column for classes, class midpoints, frequencies and relative frequencies. (3 decimal places) (Remember: The first lower limit should be the MINIMUM of your data.)
2. Use your frequency distribution to construct a histogram. Label your histogram using midpoints. Your histogram should be labeled so that an outsider can completely understand it.
3. Construct a dot plot of the data. (Please make this at least 4" wide on your paper as you will be adding to this as part of #6 below.)
4. What is (are) the most common height (s)?
5. Using the men's/women's heights from the sample, find the following:
a. Sample size (n)
b. Sample mean (??¯) (1 decimal place)
c. Median
d. Mode
e. Sample standard deviation (s) (2 decimal places)
f. Sample variance (s2) (2 decimal places)
g. Range
6. Let's define an "outlier" as any data value that is more than 2 standard deviations from the mean of the data set. Keep this in mind when answering the following:
a. For these data, use your sample mean and standard deviation to compute the upper and lower "limits" for being considered an outlier (2 decimal places).
b. Locate and label the mean and these two "limits" on your dot plot. Are there any outliers in your data set? If so, circle them on the dot plot and state their values.
7. Using the men's/ women's heights from the sample:
a. Give the 5-Number Summary. (round 1 decimal place, if needed)
b. Draw and label a box-and-whisker plot.
8. Answer the following 3 questions. Your answer should include at least 3 complete sentences in order to receive full credit. (Refer to last part of Section 2.5 in your text for formula and "unusual".)
• What is your height in inches? 5'6"
• Convert this height to a z-score using the mean & standard deviation for our data set.
• Use your z-score to describe your height relative to the rest of our data set. Is your height unusual? Explain.
Use this data for the lab assignment above.
Student# Gender Height Shoe Age Hand
|
1
|
F
|
68
|
8.5
|
20
|
R
|
|
2
|
F
|
60
|
5.5
|
27
|
R
|
|
3
|
F
|
64
|
7
|
31
|
R
|
|
4
|
F
|
67
|
7.5
|
19
|
R
|
|
5
|
F
|
65
|
8
|
20
|
R
|
|
6
|
F
|
66
|
9
|
29
|
R
|
|
7
|
F
|
62
|
9.5
|
30
|
L
|
|
8
|
F
|
63
|
8.5
|
18
|
R
|
|
9
|
F
|
60
|
5
|
19
|
L
|
|
10
|
F
|
63
|
7.5
|
42
|
R
|
|
11
|
F
|
61
|
7
|
20
|
R
|
|
12
|
F
|
64
|
7.5
|
17
|
R
|
|
13
|
F
|
65
|
8
|
19
|
R
|
|
14
|
F
|
68
|
8
|
19
|
R
|
|
15
|
F
|
63
|
7.5
|
18
|
R
|
|
16
|
F
|
62
|
7.5
|
19
|
R
|
|
17
|
F
|
64
|
7
|
23
|
R
|
|
18
|
F
|
72
|
11
|
28
|
R
|
|
19
|
F
|
62
|
8
|
20
|
R
|
|
20
|
F
|
59
|
6.5
|
29
|
R
|
|
21
|
F
|
64
|
8.5
|
19
|
R
|
|
22
|
F
|
68
|
9.5
|
23
|
R
|
|
23
|
F
|
65
|
9.5
|
34
|
R
|
|
24
|
F
|
63
|
8
|
27
|
R
|
|
25
|
F
|
65
|
8
|
23
|
R
|
|
26
|
F
|
62
|
7.5
|
30
|
R
|
|
27
|
F
|
67
|
7.5
|
31
|
L
|
|
28
|
F
|
66
|
9
|
37
|
R
|
|
29
|
F
|
61
|
6
|
24
|
R
|
|
30
|
F
|
61
|
6.5
|
46
|
R
|
|
31
|
F
|
68
|
8
|
20
|
R
|
|
32
|
F
|
63
|
7.5
|
42
|
R
|
|
33
|
F
|
63
|
5.5
|
33
|
R
|
|
34
|
F
|
58
|
5
|
20
|
R
|
|
35
|
F
|
65
|
8
|
44
|
R
|
|
36
|
F
|
69
|
9
|
28
|
R
|
|
37
|
F
|
68
|
9
|
20
|
R
|
|
38
|
F
|
63
|
7
|
49
|
R
|
|
39
|
F
|
62
|
6.5
|
19
|
R
|
|
40
|
F
|
66
|
7.5
|
19
|
R
|
|
41
|
F
|
69
|
7.5
|
55
|
R
|
|
42
|
F
|
69
|
11
|
40
|
R
|
|
43
|
F
|
63
|
6.5
|
19
|
R
|
|
44
|
F
|
61
|
7.5
|
20
|
R
|
|
45
|
F
|
68
|
9
|
19
|
R
|
|
46
|
F
|
65
|
9
|
25
|
R
|
|
47
|
F
|
62
|
7
|
31
|
R
|