LC MAT135 Module 4 TEST Latest 2022 April

MAT135 Introduction to Statistics and Data Analysis

Module 4 TEST  

Test 3

Name _______________________________

1.            According to the National Bureau of Economic Research, the lengths of business cycles from 1919 to 1995, measured from trough to trough (a trough is the low point) in months, were

61           38           46           50           74           73           98           58          

65           57           44           127         62           74           38           110

a.)           Find the Mean

b.)          Find the Median

c.)           Find the Mode

d.)          Find the Midrange

e.)          Find the Standard Deviation            

2.            The densities of selected gases in kilograms per cubic meter are

Air                          1.22                                        Neon                     0.95

Carbon Dioxide 2.03                                        Nitrogen                              1.30

Carbon monoxide            1.30                                        Nitrous Oxide    2.05

Helium                  0.23                                        Oxygen                                1.48

Hydrogen            0.14                                        Propane                               2.07

Methane                             0.77                                        Sulfur Dioxide    2.98

a.)           Find the Mean

b.)          Find the Median

c.)           Find the Mode

d.)          Find the Midrange

e.)          Find the Standard Deviation            

3.            It has been claimed that for samples of size n=10 the range should be roughly three times as large as the standard deviation.  Check this claim with reference to the following test scores, which 10 students obtained on an examination: 73, 86, 68, 67, 87, 80, 60, 76, 71, and 82.      (10 points)