Methods of Research – Descriptive Statistics Assignment

timer Asked: Sep 17th, 2015

Question description

Methods of Research – Descriptive Statistics Assignment

(Fill in the answers in this document and upload to D2L)

1. Given the following set of numbers:

2, 4, 4.5, 6, 7.3, 7.9, 9, 10

a. Calculate the mean: 6.34

b. Calculate the median: 6.65

c. Calculate the variance: 6.45

d. Calculate the standard deviation: 2.54

2. Now, add one number to the set, 30, so that we have the following set:

2, 4, 4.5, 6, 7.3, 7.9, 9, 10, 30

a. Calculate the mean and variance of the updated set: Mean: 8.97, Variance: 61.04

b. Compare the means and variances of the set from Questions 1 and 2; which set’s descriptive statistics do you think represent the set of numbers best? Why?

The first set, because the substantial size of the outlier number skewed the data to the right.

3. Take a look at the following table, which presents statistics on the public’s support for tax cuts (higher == more support), divided between Democrats and Republicans. The measure is a basic 7-point scale question, with 1 indicating no support for tax cuts and 7 indicating complete support for tax cuts.


Standard Deviation







a. Explain, in plain English, the statistics for each party, being sure to compare the stats from Democrats and Republicans.

b. What does the standard deviation tell us about each party’s tendency to support (or not support) tax cuts?

According to the standard deviation Republicans are more likely to support tax cuts than Democrats.

c. Can we be absolutely certain that the mean of one of the parties shown here is higher/lower than the other, given these statistics? Explain why or why not.

Yes, because we are given the standard deviation.

Tutor Answer

(Top Tutor) Studypool Tutor
School: Purdue University
Studypool has helped 1,244,100 students
flag Report DMCA
Similar Questions
Hot Questions
Related Tags

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors