Methods of Research – DescriptiveStatistics Assignment(Fill in the answers in this document andupload to D2L)1. Giventhe following set of numbers:2, 4, 4.5,6, 7.3, 7.9, 9, 10a.Calculate the mean: 6.34b.Calculate the median: 6.65c. Calculatethe variance: 6.45d.Calculate the standard deviation: 2.542. Now,add one number to the set, 30, sothat we have the following set:2, 4, 4.5,6, 7.3, 7.9, 9, 10, 30a.Calculate the mean and variance of the updated set: Mean: 8.97, Variance: 61.04b. Comparethe means and variances of the set from Questions 1 and 2; which set’sdescriptive statistics do you think represent the set of numbers best? Why?The first set, because thesubstantial size of the outlier number skewed the data to the right.3. Take alook at the following table, which presents statistics on the public’s supportfor tax cuts (higher == more support), divided between Democrats andRepublicans. The measure is a basic 7-point scale question, with 1 indicating no support for tax cuts and7 indicating complete support for tax cuts.MeanStandard DeviationDemocrats3.51.5Republicans5.30.3a.Explain, in plain English, the statistics for each party, being sure to comparethe stats from Democrats and Republicans. b. Whatdoes the standard deviation tell us about each party’s tendency to support (ornot support) tax cuts?According to the standard deviationRepublicans are more likely to support tax cuts than Democrats. c. Can webe absolutely certain that the mean of one of the parties shown here ishigher/lower than the other, given these statistics? Explain why or why not. Yes, because we are given thestandard deviation.
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