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The percentage of cotton in material used to manufacture men's shirts follows. Construct a stem-and-leaf display...

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Statistics

The percentage of cotton in material used to manufacture men'sshirts follows. Construct a stem-and-leaf display for the data.Calculate the median and quartiles of these data. Choose thecorrect answer.

33.6 37.0 34.0 32.1 33.5 35.6 34.9 35.4 32.2 36.1 34.7 32.433.9 36.8 32.3 33.7 34.8 36.9 34.4 33.5 33.5 37.5 32.6 34.9 35.832.9 35.0 37.2 35.3 35.2 32.7 33.2 36.9 34.7 36.9 33.9 34.7 36.034.0 35.1 34.0 36.5 36.8 32.1 35.9 32.6 36.0 36.7 34.1 34.2 35.932.9 34.8 32.3 36.8 35.0 32.0 36.0 33.4 33.8 34.6 34.7 36.234.1

Answer & Explanation Solved by verified expert
3.7 Ratings (319 Votes)

putting above data in ascending order:

s. no x
1 32
2 32.1
3 32.1
4 32.2
5 32.3
6 32.3
7 32.4
8 32.6
9 32.6
10 32.7
11 32.9
12 32.9
13 33.2
14 33.4
15 33.5
16 33.5
17 33.5
18 33.6
19 33.7
20 33.8
21 33.9
22 33.9
23 34
24 34
25 34
26 34.1
27 34.1
28 34.2
29 34.4
30 34.6
31 34.7
32 34.7
33 34.7
34 34.7
35 34.8
36 34.8
37 34.9
38 34.9
39 35
40 35
41 35.1
42 35.2
43 35.3
44 35.4
45 35.6
46 35.8
47 35.9
48 35.9
49 36
50 36
51 36
52 36.1
53 36.2
54 36.5
55 36.7
56 36.8
57 36.8
58 36.8
59 36.9
60 36.9
61 36.9
62 37
63 37.2
64 37.5

below is stem leaf graph:

stem Leaves
32 0 1 1 2 3 3 4 6 6 7 9 9
33 2 4 5 5 5 6 7 8 9 9
34 0 0 0 1 1 2 4 6 7 7 7 7 8 8 9 9
35 0 0 1 2 3 4 6 8 9 9
36 0 0 0 1 2 5 7 8 8 8 9 9 9
37 0 2 5

median =middle value =(64+1)/2 th value =32.5 th value=34.7

Quartile 1 =npth value =64*0.25 th value =16 th value =(33.5+33.5)/2 =33.5

Quartile 3 =npth value =64*0.75 th value =48 th value =(35.9+36)/2 =35.95
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