Facts and Figures

linegraph


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


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)

linegraph


Scatter Plot (specific, unconnected data)

scatterplot


Bar Chart (specific, columnar data)

barchart


Histogram (range of columnar data)
histogram


Pie Chart (slices of data)

piechart

Dot Plot (specific, dotted data)
dotplot


Question – Science Module

linegraph
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

histogram
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

dotplot
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 joke-tellers 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 joke-tellers.


Question – Mathematical Reasoning Module

scatterplot
Using the data from the the scatter plot above, which of the following represents the
slope-intercept 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 Slope-Intercept.

(x1, y1) = (2000, 15)
(x2, y2) = (2009, 30)

slope of a line
\bf\displaystyle m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}

\bf\displaystyle m =\frac{30-15}{2009- 2000}\bf\displaystyle\frac{5}{3} = 1.666666667 after toggle = 1.67 after rounding

slope-intercept b
\bf\displaystyle b=y-mx
(x1, y1) or (x2, y2) can be used to calculate b; in this case, (x1, y1) = (2000, 15) will be used:
\bf\displaystyle b=y-mx = 15 – 1.67 × 2000 = -3325

slope-intercept form of the equation of a line
\bf\displaystyle y=mx+b
y = 1.67x – 3325

Calculator Click What You See Comment
clear blinker clears screen
fraction 30 – 15 down
2009 – 2000 right
\bf\displaystyle m =\frac{30-15}{2009- 2000} \bf\displaystyle m=\frac{{{y}_{2}}-{{y}_{1}}}{{{x}_{2}}-{{x}_{1}}}
enter \bf\displaystyle \frac{5}{3}
toggle 1.666666667 m (before rounding)
15 – 1.67 × 2000 15-1.67*2000 \bf\displaystyle b=y-mx
enter -3325 b
Slope-Intercept

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