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Use the data at the end of this document to answer the following questions. Show your
work.
Assignment Questions
1. Calculate the sample mean, sample variance, sample standard deviation, and the
5-number summary for the BLUE candies. Round to two decimal places as
necessary.
a. Sample Mean:_____
b. Sample Variance:_____
c. Sample Standard Deviation:_____
d. 5-number summary:_______________
2. Calculate the sample mean, sample variance, sample standard deviation, and the
5-number summary for the ORANGE candies. Round to two decimal places as
necessary.
a. Sample Mean:_____
b. Sample Variance:_____
c. Sample Standard Deviation:_____
d. 5-number summary:_______________
3. Calculate the sample mean, sample variance, sample standard deviation, and the
5-number summary for the GREEN candies. Round to two decimal places as
necessary.
a. Sample Mean:_____
b. Sample Variance:_____
c. Sample Standard Deviation:_____
d. 5-number summary:_______________
4. Calculate the sample mean, sample variance, sample standard deviation, and the
5-number summary for the YELLOW candies. Round to two decimal places as
necessary.
a. Sample Mean:_____
b. Sample Variance:_____
c. Sample Standard Deviation:_____
d. 5-number summary:_______________
5. Calculate the sample mean, sample variance, sample standard deviation, and the
5-number summary for the RED candies. Round to two decimal places as
necessary.
a. Sample Mean:_____
b. Sample Variance:_____
c. Sample Standard Deviation:_____
d. 5-number summary:_______________
6. Calculate the sample mean, sample variance, sample standard deviation, and the
5-number summary for the BROWN candies. Round to two decimal places as
necessary.
a. Sample Mean:_____
b. Sample Variance:_____
c. Sample Standard Deviation:_____
d. 5-number summary:_______________
7. Create a side-by-side box plot (like the one in Section 3.3, page 11 of 17 in the
Learn section, Figure 3.3.3) to compare the distribution of colors of candies
found in the bags. There should be SIX box plots. This can be done by hand or in
Excel. Please e-mail me your file or a picture of your hand drawn boxplots, and
then answer this question: What does the visual of your box plots tell you about
the data? Provide at least two pieces of information. There are lots of correct
answers! Just be sure to explain!
Blue
6
8
Orange
17
8
Green
10
11
Yellow
8
12
Red
10
9
Brown
7
10
Total
58
58
8
7
12
13
8
16
11
10
6
14
11
14
14
11
12
7
8
10
10
9
10
11
12
12
12
14
13
13
7
9
12
10
11
8
13
13
13
8
8
10
11
9
12
10
10
11
8
12
9
12
9
11
10
3
8
6
13
8
8
14
7
10
11
14
10
7
3
10
14
10
4
12
14
10
8
14
13
2
11
8
9
10
12
10
13
9
9
9
13
11
10
5
5
9
12
11
10
8
8
11
12
12
4
7
13
13
7
5
13
10
8
13
12
6
5
12
8
7
11
10
10
13
10
7
11
15
15
4
9
8
9
6
7
7
8
6
12
14
5
1
9
11
6
9
9
7
5
7
5
7
5
10
10
6
7
8
9
8
5
8
8
6
4
5
7
6
9
8
7
7
7
7
10
10
11
4
7
4
8
10
7
10
15
3
9
9
4
9
9
13
5
12
3
6
6
7
9
6
9
10
6
8
10
6
58
58
57
57
57
56
56
56
56
56
56
56
56
55
55
55
55
55
55
55
55
55
54
54
54
54
54
53
53
53
52
51
51
49
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