Example Quiz #1                Statistics - Math 340


This quiz has been retired.  It is not being used for the internet version of Math 340 anymore.
 

Directions: This is test has multiple choice, True/False, and fill in the blank answers.  Select the option that BEST represents the correct answer. Make sure that you include your name in the text of the answer.

Recommendation: Put your answers in a Word Document and INCLUDE AN EXPLANATION OF ALL YOUR CALCULATIONS.  I will give partial credit if you were doing a math problem the right way but made a silly error (we all do this - myself included!)

The bare minimum requirement is to send me an email with your answers by the date on the main web page. If there are any questions, contact me immediately!

 

(1.)  Data were collected on the ages of people in a neighborhood.  The data are as follows:

18, 10, 25, 35, 40, 50, 62, 20, 19, and 2. 

What is the range of this data?
 

                       Range = ? ________________________
 

 

(2.)  Which of the following classifies data into categories that CAN be ranked; however, precise differences between the ranks do not exist.
 

A

Ratio

B

Nominal

C

Ordinal

D

Interval

E

Qualitative

F

None: Trick Question

 


 

(3.)  If a colleague came to you and asked you to recommend a type of graph to represent the changes in mutual fund performance (value in $ per share)  for the fund that he’s been considering, you would tell him to use a(n):
 

A

ogive

B

frequency polygon

C

time series graph

D

pie chart

E

pareto chart

F

None: Trick Question

 


 

(4.)  Find the mean, median, and mode for the following data set:

 24, 47, 9, 13, 26, 11, 13, 7, 26, 11

 


MEAN:______________
 

MEDIAN:______________


MODE(S?):______________
 


 
 

(5.) The following list shows the steps in constructing a grouped frequency distribution.  These steps are listed in a random order. Select the step that is wrong (in other words, "Which of the following is NOT a correct step in the construction of a grouped frequency distribution?").

1.  Find the lowest and highest data values

2.  Tally the data, find frequencies and cumulative frequency

3.  Find the class width (Range/number of classes, then round UP)

4.  Find the range (R = highest value - lowest value)

5.  Find the upper class limits

6.  Select number of classes desired (between 5 and 20)

7.  Select a starting point (usually lowest data value), add class width to get lower limits

8.  None: Trick question

ANSWER:____________________


 


(6.)  In the data set you are studying, the data seem to be dispersed,  or spread out, over a larger interval than originally expected. Which of the following would you use to measure the 'dispersion' of this data set?
 

A

Standard Deviation

B

Variance

C

Mean

D

Median

E

A or B

F

None: Trick Question

 

 

(7.)  Read this carefully! Both must be right to get full credit!

Part (a)  The following is a sample of n=5 measurements:

6.0,  3.0,  8.0,  5.0,  3.0

Calculate the Standard Deviation for this set._______________
 



Part (b)  The following is a population of n=5 measurements:

6.0,  3.0,  8.0,  5.0,  3.0

Calculate the Standard Deviation for this set._______________
 
 

 

HINT: There's a difference between the standard deviation for  a sample and the standard deviation for  a population!



The following set of numbers are used for the next three questions:

18, 12, 25, 16, 27, 32, 25, 15, 23, 22, 37, 16, 25, 19, 16, 25, 19, 16, 29, 38, 29, 30, 21



 
 

(8.)  What is the Mode of this set? _________________

 

 

(9.) What is the Median of this set? _________________

 

 

(10.) What is the Mean of this set? _________________

 

 

Extra Credit. 
A sample has a mean of 115 and a standard deviation of 22. According to Chebyshev’s Theorem , (1-1/k2)*100%,  how much of the data will fall between three standard deviations of the mean?
 

A

50%

B

60%

C

82%

D

88.8%

E

75%

F

None: Trick question

 

END  OF QUIZ 1