Question 1

Find the mode or modes.
--20, -25, -46, -25, -49, -25, -49

Accepted Answer

A) -34.1 
B) -25 
C) -49 
D) -46 
A) -34.1 
B) -25 
C) -49 
D) -46

Question 2

Answer the question.
-The bar graph below shows the number of students by major in the College of Arts and Sciences.   Did twice as many students major in Math as in Science?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 3

Find the median for the given sample data.
-A new business had the following monthly net gains: $\begin{array} { l l l l l } \$ 8046 & \$ 2074 & \$ 3121 & \$ 6520 & \$ 6268 \ \$ 2697 & \$ 3330 & \$ 7634 & \$ 4153 & \$ 5161 \end{array}$
$\begin{array} { l l l l l } \$ 2697 & \$ 3330 & \$ 7634 & \$ 4153 & \$ 5161 \end{array}$ Find the median net gain.

Accepted Answer

A) $4900.40 
B) $4657.00 
C) $5444.89 
D) $4153.00 
A) $4900.40 
B) $4657.00 
C) $5444.89 
D) $4153.00

Question 4

Find the mode or modes.
-The table shows the country represented by the winner of the 10,000 meter run in the Summer Olympic Games in various years. 
$\begin{array} { l l } 
\text { Year } & \text { Country } \
1912 & \text { Finland } \
1920 & \text { Finland } \
1924 & \text { Finland } \
1928 & \text { Finland } \
1932 & \text { Poland } \
1936 & \text { Finland } \
1948 & \text { Czechoslovakia } \
1952 & \text { Czechoslovakia } \
1956 & \text { USSR } \
1960 & \text { USSR } \
1964 & \text { United States } \
1968 & \text { Kenya } \
1972 & \text { Finland } \
1976 & \text { Finland } \
1980 & \text { Ethiopia } \
1984 & \text { Italy } \
1988 & \text { Morocco } \
1992 & \text { Morocco }
\end{array}$
 Find the mode of the country data.

Accepted Answer

A) Morocco 
B) 1912 
C) Finland 
D) 7 
A) Morocco 
B) 1912 
C) Finland 
D) 7

Question 5

Find the mean for the given frequency distribution.
-$\begin{array}{c|c}
\text { Value } & \text { Frequency } \
\hline 166 & 2 \
174 & 7 \
239 & 6 \
280 & 3 \
340 & 1 \
389 & 1
\end{array}$

Accepted Answer

A) 239.3 
B)  $252.9$ 
C)  $79.4$ 
D)  $227.7$ 
A) 239.3 
B)  $252.9$ 
C)  $79.4$ 
D)  $227.7$

Question 6

Explain the difference between a frequency distribution and a relative frequency distribution. Comment on the differences on the vertical axis scale. Given the same data set and the same classes, will the shapes of the frequency distribution and the relative frequency distribution be the same? You may draw a diagram to support your answer.

Accepted Answer

The frequency distribution and the relat

Question 7

Provide an appropriate response.
-The two most frequently used measures of central tendency are the mean and the median.
Compare these two measures for the following characteristics: Takes every score into
account? Affected by extreme scores? Advantages.

Accepted Answer

The mean takes the numerical value of ev

Question 8

Construct a stem and leaf display for given data.
-Mr. Johnson wants to display his employees' ages in a graph. Below are their ages.
 $\begin{array}{lll}
23 & 36 & 45 \
42 & 34 & 53 \
34 & 27 & 24
\end{array}$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 9

Find the mean for the given sample data. Unless otherwise specified, round your answer to one more decimal place than that used for the observations.
-The grocery expenses for six families were $64.88, $50.87, $49.35, $59.03, $69.80, and $65.38. Compute the mean grocery bill. Round your answer to the nearest cent.

Accepted Answer

A) $59.89 
B) $89.83 
C) $59.86 
D) $71.86 
A) $59.89 
B) $89.83 
C) $59.86 
D) $71.86

Question 10

Make a bar graph to represent the data.
-The following table shows the number of inches of rainfall measured at City X during the
following days. Create a horizontal bar graph. $\begin{array} { r | r } 
\text { Day } & \begin{array} { r } 
\text { No. of Inches } \
\text { of Rainfall }
\end{array} \
\hline \text { April 8 } & 1.26 \
\text { April 23 } & 1.94 \
\text { May 8 } & 3.26 \
\text { May 23 } & 2.54 \
\text { June 8 } & 2.02 \
\text { June 23 } & 1.86
\end{array}$

Accepted Answer

Answers may vary. Th

Question 11

A medical research team studied the ages of patients who had strokes caused by stress. The ages of 34 patients who suffered stress strokes were as follows. 
$ \begin{array}{llllllllllll}29 & 30 & 36 & 41 & 45 & 50 & 57 & 61 & 28 & 50 & 36 & 58\end{array} $
$ \begin{array}{llllllllllll}60 & 38 & 36 & 47 & 40 & 32 & 58 & 46 & 61 & 40 & 55 & 32\end{array} $
$ \begin{array}{llllllllll}61 & 56 & 45 & 46 & 62 & 36 & 38 & 40 & 50 & 27\end{array} $
Construct a frequency and relative frequency distribution for these ages. Use 8 classes beginning with a lower class limit of 25 .

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

Find the median.
-$\begin{array} { l l l l l } 30 & 32 & 30 & 33 \end{array}$
$\begin{array} { l l l l } 33 & 30 & 35 & 32 \end{array}$
$\begin{array} { l l l l } 40 & 36 & 36 & 34 \end{array}$
$\begin{array} { l l l l } 29 & 36 & 30 & 25 \end{array}$

Accepted Answer

A)  32 
B)  $31.85$ 
C)  33 
D)  36 
A)  32 
B)  $31.85$ 
C)  33 
D)  36

Question 13

Find the median.
-$\begin{array} { l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 \end{array}$
$\begin{array} { l l l l l } 3.9 & 1.0 & 3.6 & 4.2 & 3.4 \end{array}$
$\begin{array} { l l l l l } 3.7 & 2.2 & 1.5 & 4.2 & 3.4 \end{array}$
$\begin{array} { l l l l l } 2.7 & 0.4 & 3.7 & 2.0 & 3.6 \end{array}$

Accepted Answer

A)  $2.94$ 
B)  $3.45$ 
C)  $3.50$ 
D)  $3.40$ 
A)  $2.94$ 
B)  $3.45$ 
C)  $3.50$ 
D)  $3.40$

Question 14

This double-bar graph shows the number of male (M)and female (F)athletes at a university over a four-year period.
Answer the question.  
-Which year had the same number of male and female athletes?

Accepted Answer

A) 1988 
B) 1986 
C) 1987 
D) 1989 
A) 1988 
B) 1986 
C) 1987 
D) 1989

Question 15

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-How many degrees are in the central angle for the "Lecture" sector?

Accepted Answer

A) 64.8° 
B) 20° 
C) 32.4° 
D) 18° 
A) 64.8° 
B) 20° 
C) 32.4° 
D) 18°

Question 16

useful for comparing the size of each category with the whole (ie the proportion of the whole population falling in each category). A bar graph is more useful for comparing the sizes of different categories with each other. Find the mean of the set of data.
-3, -4, -4, 4, 6

Accepted Answer

A) 0.8 
B) 1.25 
C) 2 
D) 1 
A) 0.8 
B) 1.25 
C) 2 
D) 1

Question 17

Answer the question.
-The bar graph below shows the number of students by major in the College of Arts and Sciences.  
About how many students are in the College of Arts and Sciences?

Accepted Answer

A)  1050 
B)  1325 
C)  1250 
D)  1225 
A)  1050 
B)  1325 
C)  1250 
D)  1225

Question 18

In a school survey, students showed these preferences for instructional materials. Answer the question.  
-About how many students would you expect to prefer written materials in a school of 400 students?

Accepted Answer

A) About 144 students 
B) About 72 students 
C) About 9 students 
D) About 36 students 
A) About 144 students 
B) About 72 students 
C) About 9 students 
D) About 36 students

Question 19

useful for comparing the size of each category with the whole (ie the proportion of the whole population falling in each category). A bar graph is more useful for comparing the sizes of different categories with each other. Find the mean of the set of data.
-7.50, 16.72, 9.41, 7.38, 19.52, 17.09, 18.20, 4.11 Round your answer to two decimal places.

Accepted Answer

A) 5.80 
B) 9.70 
C) 12.49 
D) 11.10 
A) 5.80 
B) 9.70 
C) 12.49 
D) 11.10

Question 20

Use this graph to answer the question.  
-What was the total increase in sales from 2009 to 2010?

Accepted Answer

A) $182,000 
B) $12,000 
C) $1,342,000 
D) $22,000 
A) $182,000 
B) $12,000 
C) $1,342,000 
D) $22,000

Find the mode or modes. --20, -25, -46, -25, -49, -25, -49

Answer the question. -The bar graph below shows the number of students by major in the College of Arts and Sciences. Did twice as many students major in Math as in Science?

Find the median for the given sample data. -A new business had the following monthly net gains: \ 8046 \ 2074 \ 3121 \ 6520 \ 6268 \ 2697 \ 3330 \ 7634 \ 4153 \ 5161 \ 2697 \ 3330 \ 7634 \ 4153 \ 5161 Find the median net gain.

Find the mean for the given frequency distribution. - Value Frequency 166 2 174 7 239 6 280 3 340 1 389 1

Provide an appropriate response. -The two most frequently used measures of central tendency are the mean and the median. Compare these two measures for the following characteristics: Takes every score into account? Affected by extreme scores? Advantages.

Construct a stem and leaf display for given data. -Mr. Johnson wants to display his employees' ages in a graph. Below are their ages. 23 36 45 42 34 53 34 27 24

Make a bar graph to represent the data. -The following table shows the number of inches of rainfall measured at City X during the following days. Create a horizontal bar graph. Day No. of Inches of Rainfall April 8 1.26 April 23 1.94 May 8 3.26 May 23 2.54 June 8 2.02 June 23 1.86

Find the median. - 30 32 30 33 33 30 35 32 40 36 36 34 29 36 30 25

Find the median. - 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6

This double-bar graph shows the number of male (M)and female (F)athletes at a university over a four-year period. Answer the question. -Which year had the same number of male and female athletes?

In a school survey, students showed these preferences for instructional materials. Answer the question. -How many degrees are in the central angle for the "Lecture" sector?

useful for comparing the size of each category with the whole (ie the proportion of the whole population falling in each category). A bar graph is more useful for comparing the sizes of different categories with each other. Find the mean of the set of data. -3, -4, -4, 4, 6

Answer the question. -The bar graph below shows the number of students by major in the College of Arts and Sciences. About how many students are in the College of Arts and Sciences?

In a school survey, students showed these preferences for instructional materials. Answer the question. -About how many students would you expect to prefer written materials in a school of 400 students?

Use this graph to answer the question. -What was the total increase in sales from 2009 to 2010?

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Numeration Systems

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Personal Financial Management

Trigonometry Formerly

Graph Theory

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Exam 12: Statistics