SAMPLE Quiz #1:     Statistics Math 340
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Directions:

This is a sample quiz - it has multiple choice, True/False, and fill in the blank answers, just like the real quiz.  Select the option that BEST represents the correct answer.

RECOMMENDATION:  Do these problems to see how well you understand the material in this class!  Don't look at the answers until you are done.

If there are any questions, contact me.


 

(1.)  Data were collected on the number of minutes spent cooking a meal.  The data are as follows:

8, 10, 15, 25, 30, 40, 12, 20, and 19. 

What is the range of this data?

a.  24 
b.  22 
c.  32 
d.  48 

 

Your ANSWER?

 


 

(2.)  When would a student use a grouped frequency distribution to organize the data she has collected?

a.  When the data she is using is categorical. 
b.  When the range of the data is large. 
c.  When the range of the data is small. 
d.  When itís raining. 
 

Your ANSWER?

 


 

(3.)  If a colleague came to you and asked you to recommend a type of graph to represent the cumulative frequencies  for the classes in the study heís been working on, you would tell him to use a(n):

a.  ogive 
b.  frequency polygon 
c.  time series graph 
d.  pie chart 

 

Your ANSWER?

 


 

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

 4, 17, 9, 11, 26, 11, 13, 7, 22, 11

a.  Mean = 15.1, Median = 11,  Mode = 13 
b.  Mean = 14.4,  Median = 18.5, Mode = 11 
c.  Mean = 12,  Median = 12,  Mode = 11 
d.  Mean = 13.1, Median = 11,  Mode = 11 
 

Your ANSWER?

 


 

(5.)  When would there be an advantage to using the median instead of the mean when computing the measure of central tendency of a particular data set?

a.  When the data set is open-ended. 
b.  When the data set has an extremely high data value (as compared to other values in the set). 
c.  When you must determine whether a data value falls into the upper or lower half of the distribution. 
d.  All of the above. 

 

Your ANSWER?

 


 


(6.)  True or False:  The more dispersed the data values in a particular data set are, the smaller the variance and standard deviation will be. 

TRUE     FALSE 
 

Your ANSWER?

 


 

(7.)  Read this carefully!

The following is a sample of n=9 measurements:

8.0, 2.0, 2.0, 7.0, 4.0, 6.0, 5.0, 3.0, 4.0

Calculate the Standard Deviation for this set.__________________________________

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

Your ANSWER?

 



 

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

 8.0, 7.0, 9.0, 4.0, 8.0, 10.0, 9.0, 9.0, 3.0, 5.0



 
 


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

Your ANSWER?

 


 
 


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

Your ANSWER?

 


 


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

Your ANSWER?

 


 
 

Extra Credit. 

A sample has a mean of 115 and a standard deviation of 22. 
According to Chebyshevís Theorem , (1-1/k2)*100%,  at least 75% of the data will fall between what two values?
 

a.  49 - 181 
b.  93 - 137 
c.  71 - 159 
d.  105 - 125 

 

Your ANSWER?

 


 
 

OK, Now that you have completed these questions, see how well you did!

SAMPLE    QUIZ 1    ANSWERS

 

(1.)  Data were collected on the number of minutes spent cooking a meal.  The data are as follows:

8, 10, 15, 25, 30, 40, 12, 20, and 19. 

What is the range of this data?

a.  24 
b.  22 
c.  32 
d.  48 

 

ANSWER  :   40 is the high #, and 8 is the lowest #. Thus, 40-8 is 32.

C. 32 
 


 

(2.)  When would a student use a grouped frequency distribution to organize the data she has collected?

a.  When the data she is using is categorical. 
b.  When the range of the data is large. 
c.  When the range of the data is small. 
d.  When itís raining. 
 

ANSWER

B. When the range of the data is large.


 

(3.)  If a colleague came to you and asked you to recommend a type of graph to represent the cumulative frequencies  for the classes in the study heís been working on, you would tell him to use a(n):

a.  ogive 
b.  frequency polygon 
c.  time series graph 
d.  pie chart 

 

ANSWER

a.  ogive 
 


 

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

 4, 17, 9, 11, 26, 11, 13, 7, 22, 11

a.  Mean = 15.1, Median = 11,  Mode = 13 
b.  Mean = 14.4,  Median = 18.5, Mode = 11 
c.  Mean = 12,  Median = 12,  Mode = 11 
d.  Mean = 13.1, Median = 11,  Mode = 11 
 

ANSWER

d.  Mean = 13.1, Median = 11,  Mode = 11 


 

(5.)  When would there be an advantage to using the median instead of the mean when computing the measure of central tendency of a particular data set?

a.  When the data set is open-ended. 
b.  When the data set has an extremely high data value (as compared to other values in the set). 
c.  When you must determine whether a data value falls into the upper or lower half of the distribution. 
d.  All of the above. 

 

ANSWER

d.  All of the above.


 


(6.)  True or False:  The more dispersed the data values in a particular data set are, the smaller the variance and standard deviation will be. 

TRUE     FALSE 
 

ANSWER

FALSE 


 

(7.)  Read this carefully!

The following is a sample of n=9 measurements:

8.0, 2.0, 2.0, 7.0, 4.0, 6.0, 5.0, 3.0, 4.0

Calculate the Standard Deviation for this set.__________________________________

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

ANSWER:   Did you divide by n-1?

Standard Deviation is  2.1



 

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

 8.0, 7.0, 9.0, 4.0, 8.0, 10.0, 9.0, 9.0, 3.0, 5.0



 
 


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

ANSWER - There is also a secondary mode at 8.0
 

9.0 (primary)


 
 


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

ANSWER
8.0


 


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

ANSWER

7.2  (7 is also OK if you are rounding off)


 
 

Extra Credit. 

A sample has a mean of 115 and a standard deviation of 22. 
According to Chebyshevís Theorem , (1-1/k2)*100%,  at least 75% of the data will fall between what two values?
 

a.  49 - 181 
b.  93 - 137 
c.  71 - 159 
d.  105 - 125 

 

ANSWER

75% OF THE DATA FALLS WITHIN 2 STANDARD DEVIATIONS! So, 2 standard deviations is 2 x 22 = 44. 
Subtract, 44 from 115, and this gives you 71. Then, to get the upper bound, add 44 to 115, which is 159.
C -  71 - 159