DATA ANALYSIS

Identify a quantitative data set that includes at least 100 data points and complete the following:

1. Define the population and variable of interest.

2. Select a systematic sample of size n=30 from your population. Assign a random start and let k = 3 (since you are selecting a sample of size 30 this is why we need to have at least 100 data points in the population). Make sure to clearly illustrate how you conducted the systematic sample. For example, you could make a chart with the systematic sample number in one column and the corresponding data value in the second column. All work from this point forward on the project is done with the sample data values (the 30 data points) and not the entire population.

3. Construct and provide all necessary components of a stem and leaf plot of the sample data.

4. Use the data to calculate the mean, median, mode, range, standard deviation, and variance of the sample (non-grouped data). Calculator answers are acceptable.

5. Construct a grouped frequency distribution: a. Find the class width for 5 classes. Show your work for the class width. b. Separate the data into these 5 equal classes by creating a grouped frequency distribution for these 5 classes. List the class limits and the class boundaries.

6. For the grouped data, find the mean, standard deviation, and variance with formulas using the class midpoints and the frequencies for each group. Show your work.

7. Compare the grouped mean and grouped standard deviation found in #6 with the ungrouped mean and standard deviation calculated in #4. These answers most likely will not agree. Explain why there is a difference.

8. Using the grouped data, construct and provide all necessary components of a histogram. 9. Using the grouped data, construct and provide all necessary components of a frequency polygon.

10. Using the grouped data, construct and provide all necessary components of an ogive.

11. Determine the Five Number Summary for the ungrouped data.

12. Identify any outliers in the data set using the IQR method (upper and lower fences). Show your work.

13. Construct and provide all necessary components of a modified box and whisker plot for the ungrouped data.