Basics
Although data will be depicted in various ways in the Mathematical Reasoning module, you will run across different displays of data in other GED modules, too.
Among the ways numerical facts can be rendered in pictorial figures are:
Line Graph
• specific, connected data
Scatter Plot
• specific, unconnected data
Bar Chart
• specific, columnar data
Histogram
• range of columnar data
Pie Chart
• slices of data
Dot Plot
• specific, dotted data
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The data in the table below is used to formulate the line graph, scatter plot, bar chart, histogram, pie chart, and dot plot that follow.
Facts and Figures Corporation  
Year  Stock Price 
2000  15 
2001  21 
2002  25 
2003  21 
2004  23 
2005  26 
2006  25 
2007  28 
2008  28 
2009  30 
2010  36 
2011  35 
2012  40 
2013  42 
2014  48 
Line Graph (specific, connected data)
Scatter Plot (specific, unconnected data)
Bar Chart (specific, columnar data)
Histogram (range of columnar data)
Pie Chart (slices of data)
Dot Plot (specific, dotted data)
Question – Science Module
Some researchers claim that the price of a stock is correlated with the number of mentions a stock receives in the financial news media.
If that research is true, between what years in the line graph above did the number of mentions of the stock of Facts and Figures Corporation decline the most in the financial news media?
A. 2005 – 2006
B. 2009 – 2010
C. 2007 – 2008
D. 2002 – 2003
Answer
D. 2002 – 2003
Answer Process
According to the line graph, the steepest decline in the price of the stock of Facts and Figures Corporation occurred between the years 2002 and 2003. If the research is true, that time period should correlate with the fewest number of mentions of the stock in the financial news media.
Question – Social Studies Module
It has long been said that the price of a stock is a function of the human frailties of fear and greed.
If that theory is true, in what price range of the stock of Facts and Figures Corporation in the histogram above were investors most likely to be paralyzed between fear and greed?
A. 10 – 20
B. 20 – 30
C. 30 – 40
D. 40 – 50
Answer
B. 20 – 30
Answer Process
According to the histogram, the price of the stock of Facts and Figures Corporation was stuck in a range between 20 and 30 for 8 years. That lengthy period of minimal price movement suggests that investors themselves were stuck between fear and greed.
Question – Reasoning Through Language Arts Module
The stock market has long been the butt of many famous jokes as follows:
“I never attempt to make money on the stock market. I buy on the assumption that they could close the market the next day and not reopen it for five years.” — Warren Buffett
“One of the funny things about the stock market is that every time one person buys, another sells, and both think they are astute.” — William Feather
“I am more concerned about the return of my money than the return on my money.” — Mark Twain and/or Will Rogers
At what price in the dot plot above would you infer that the joketellers would feel most comfortable owning stock in Facts and Figures Corporation?
A. 20
B. 30
C. 40
D. 50
Answer
A. 20
Answer Process
According to the dot plot, the price of the stock of Facts and Figures Corporation is most likely to maintain a minimum price of 20. That price would be most in keeping with the conservative stance of the joketellers.
Question – Mathematical Reasoning Module
Using the data from the the scatter plot above, which of the following represents the
slopeintercept form of the equation of a line passing through the points at the year 2000 and the year 2009?
A. y = 1.67x + 3325
B. y = 1.67x + 3325
C. y = 1.67x – 3325
D. y = 1.67x – 3325
Answer
D. y = 1.67x – 3325
Answer Process
See SlopeIntercept.
(x_{1}, y_{1}) = (2000, 15)
(x_{2}, y_{2}) = (2009, 30)
slope of a line
= = 1.666666667 after toggle = 1.67 after rounding
slopeintercept b
(x_{1}, y_{1}) or (x_{2}, y_{2}) can be used to calculate b; in this case, (x_{1}, y_{1}) = (2000, 15) will be used:
= 15 – 1.67 × 2000 = 3325
slopeintercept form of the equation of a line
y = 1.67x – 3325
Input  Display  Comment 
blinker  clears screen  
30 – 15 2009 – 2000 

1.666666667  m (before rounding)  
15 – 1.67 × 2000  151.67*2000  
3325  b  
SlopeIntercept
