CHAPTER 3 Technology Project 139 2. Frequency Distribution Using the data from Exercise 1, construct a frequency distribution using a class width of 50 mg and a first class with a lower class limit of 3500 mg. 3. Histogram Use the frequency distribution from Exercise 2 to construct a histogram. Use class midpoint values for the horizontal scale. 4. Percentile Use the weights from Exercise 1 to find the percentile for 3647 mg. 5. Descriptive Statistics Use the weights of the Domino sugar packets from Exercise 1 and find the following: (a) mean, (b) median, (c) standard deviation, (d) variance, (e) range. Include the appropriate units of measurement. 6. Histogram The accompanying histogram depicts outcomes of digits from the Florida Play 4 lottery. What is the major flaw in this histogram? 7. Normal Distribution Examine the distribution shown in the histogram from Exercise 6. Does it appear that the sample data are from a population with a normal distribution? Why or why not? 8. Correlation of Heights of Fathers and Sons Listed below are heights (in.) of fathers and their first sons (based on Data Set 10 “Family Heights” in Appendix B). Construct a scatterplot and then make a judgment to determine whether there appears to be a correlation between heights of fathers and heights of their first sons. Father 70.5 69.0 68.7 70.0 68.0 65.0 69.0 68.7 67.0 66.0 Son 74.0 68.0 67.7 68.0 67.5 66.5 71.0 71.0 69.0 66.0 Technology Project Words Spoken by Men and Women Refer to Data Set 14 “Word Counts” in Appendix B, which includes counts of words spoken by males and females. That data set includes 12 columns of data, but first stack all of the male word counts in one column and stack all of the female word counts in another column. Then proceed to generate histograms, any other suitable graphs, and find appropriate statistics that allow you to compare the two sets of data. Are there any outliers? Do both data sets have properties that are basically the same? Are there any significant differences? What would be a consequence of having significant differences? Write a brief report including your conclusions and supporting graphs.
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