The following scores are from a 4 x 10 yard shuttle-run test for a group of middle school students. The scores are measured in seconds to the nearest tenth of a second.
Raw Data: 12.1 12.9 13.1 13.6 15.4 12.2 12.3 11.9 11.8 10.4 10.8 13.0 9.3 11.4 13.8 11.8 10.9 13.4 12.7 10.8 14.8 15.9 11.0 11.17 14.2 12.9 10.3 9.8 12.0 13.1 14.7 11.8 10.5 11.7 9.6 12.1 14.4 15.3 12.1 10.3 11.2 11.4 10.1 11.1 13.4 12.6 9.1 13.0 12.6 12.7 11.9 10.4 11.6 12.5 13.2 13.3 11.5 10.6 12.3 12.9 13.5 12.8 11.6 12.8 12.5 12.0 12.4 14.6 12.8 12.4 13.6 11.7
1. Determine the highest and lowest scores and calculate the range.
2. Determine an appropriate interval size (i) for grouping data.
3. Draw a frequency polygon from the data. Are the data normal or skewed?