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Problem 1. (30 points) The percentage of cotton in material used to manufacture mens shirts follows. 1. Construct a Stem-and-Leaf Diagram (10 points) 2. Construct a frequency distribution step-by-step (10 points). 3. Construct a histogram step-by-step (10 points). 34.2 37.8 33.6 32.6 33.8 35.8 34.7 34.6 33.1 36.6 34.7 33.1 34.2 37.6 33.6 33.6 34.5 35.4 35.0 34.6 33.4 37.3 32.5 34.1 35.6 34.6 35.4 35.9 34.7 34.6 34.1 34.7 36.3 33.8 36.2 34.7 34.6 35.5 35.1 35.7 35.1 37.1 36.8 33.6 35.2 32.8 36.8 36.8 34.7 34.0 35.1 32.9 35.0 32.1 37.9 34.3 33.6 34.1 35.3 33.5 34.9 34.5 36.4 32.7

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Answer #1

Stem          Leaf

3               2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3

                 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4

                 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5

                 5 6 6 6 6 6 6 6 7 7 7 7 7

Basic Statistics:

Minimum:32.1

Maximum:37.9

Count:64

Sum:2227.1

Mean:34.8

Median:34.7

Mode:34.7

Standard Deviation:1.364

Variance:1.861

Frequency Table Class 32-32.9 33-33.9 34-34.9 35-35.9 38-36.9 37-37.9 Count 21 14

25 21 20 14 15 E 10 32 34 35 36 37 38 Histogram (Frequency Diagram)

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