Question
1. The following data represents body weight (in lbs) for 60 males. 154.25 186.25 179 182 262.75 158.25 173.25 216 200.5 160.25 205 139.25 154
1.
The following data represents body weight (in lbs) for 60 males.
154.25 | 186.25 | 179 | 182 | 262.75 | 158.25 |
173.25 | 216 | 200.5 | 160.25 | 205 | 139.25 |
154 | 180.5 | 140.25 | 168 | 217 | 137.25 |
184.75 | 205.25 | 148.75 | 218.5 | 212 | 152.75 |
184.25 | 187.75 | 151.25 | 247.25 | 125.25 | 136.25 |
210.25 | 162.75 | 159.25 | 191.75 | 164.25 | 198 |
181 | 195.75 | 131.5 | 202.25 | 133.5 | 181.5 |
176 | 209.25 | 148 | 196.75 | 148.5 | 201.25 |
191 | 183.75 | 133.25 | 303.15 | 135.75 | 202.5 |
198.25 | 211.75 | 160.75 | 203 | 127.5 | 179.75 |
- Construct a stem-and-leaf display using the ten's digit as the stem unit. (only final plot is needed)
- Construct a stem-and-leaf display using the ten's digit as the leaf and a 5 leaf category per stem. (only final plot is needed)
- State the increment in part b)
- Based on your plot in part b), does your distribution seem to be skewed to the right, left or symmetric?
- What proportion of weights are between 200 and 300 lbs?
2.
The accompanying data are observations on shower flow rate for a sample of 129 houses.
4.6 | 3.8 | 7.5 | 6.4 | 13.8 | 5.0 | 18.9 | 3.5 | 10.4 | 10.5 |
12.3 | 11.2 | 7.5 | 6.0 | 6.2 | 3.3 | 7.2 | 8.2 | 9.7 | 14.6 |
7.1 | 10.5 | 6.2 | 8.3 | 5.4 | 7.6 | 5.4 | 8.4 | 5.1 | 10.8 |
7.0 | 14.3 | 5.8 | 6.5 | 4.8 | 3.9 | 5.5 | 7.3 | 6.7 | 15.5 |
4.0 | 8.0 | 2.3 | 7.6 | 7.5 | 11.9 | 4.3 | 10.3 | 10.2 | 7.5 |
9.2 | 8.8 | 3.4 | 9.3 | 6.0 | 2.2 | 9.0 | 11.9 | 6.2 | 6.4 |
6.7 | 6.4 | 10.4 | 9.2 | 6.9 | 15.0 | 12.7 | 6.0 | 8.4 | 3.4 |
6.9 | 5.1 | 9.8 | 7.3 | 10.8 | 7.2 | 11.3 | 5.6 | 7.0 | 5.5 |
11.5 | 5.6 | 6.6 | 5.0 | 7.5 | 6.1 | 7.4 | 9.5 | 4.8 | 6.6 |
5.1 | 9.6 | 3.7 | 6.3 | 6.6 | 15.3 | 5.0 | 9.3 | 5.6 | 5.9 |
8.2 | 4.9 | 6.2 | 9.1 | 9.3 | 9.3 | 5.7 | 3.6 | 7.0 | 15.0 |
6.3 | 5.0 | 8.3 | 10.6 | 6.9 | 9.6 | 6.8 | 11.9 | 6.9 | 9.6 |
7.8 | 6.0 | 3.2 | 4.5 | 9.8 | 10.4 | 11.3 | 3.7 | 4.1 |
- Construct a frequency table and display it as a histogramusing a class width of 2 starting at 2. [Recall: LCB is included in the class interval whereas UCB is not included.] Your first class should be [2,4). Show frequency chart.
2. What proportion of shower flow rates are at least 10?
3. How would you describe the shape of the histogram?(right skewed, left skewed, normal or inconclusive)
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