Pre-Algebra : Analyzing Graphs and Figures
Study concepts, example questions & explanations for Pre-Algebra
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Example Questions
Example Question #3 : Tables
Four candidates ran for mayor of Johnston City. The results are below.
According to a city ordinance, a candidate must win more than 50% of the vote to win the election; if this does not happen, the two candidates who win the most votes will face each other in a runoff election. Based on the above table, which of the following is the outcome of the vote?
A runoff will be held between Johnson and Allen.
A runoff will be held between Allen and Carter.
Allen won outright.
Johnson won outright.
A runoff will be held between Johnson and Carter.
A runoff will be held between Johnson and Allen.
We can determine whether the highest vote-getter, Johnson, won the election outright by comparing Johnson's votes to the sum of the votes of his opponents. The votes won by his opponents sum up to:
Johnson won 5,813 votes. Since 
Example Question #1 : How To Find The Answer From A Table
Four candidates ran for mayor of Monroe City. The results are below.
According to a city ordinance, a candidate must win more than 50% of the vote to win the election; if this does not happen, the two candidates who win the most votes will face each other in a runoff election. Based on the above graph, which of the following is the outcome of the vote?
Boatwright and Van Owen will face each other in a runoff.
Boatwright won the election outright.
Boatwright and Stephens will face each other in a runoff.
Boatwright and Delmar will face each other in a runoff.
Delmar won the election outright.
Boatwright won the election outright.
We can determine whether the highest vote-getter, Boatwright, won the election outright by comparing Boatwright's votes to the sum of the votes of his opponents. The votes won by his opponents sum up to:
Boatwright won 8,542 votes. Since 
Example Question #11 : Analyzing Graphs And Figures
If a line crosses through the points 
Don't forget, when graphing points on a graph go left or right first then go up or down.
(2,8) and (3,9) has a slope of 1.
The slope is found using the formula,
where
Rise of 1 and a Run of 1.
Other coordinates are
The line will cross the y-axis at 
Example Question #12 : Analyzing Graphs And Figures
Find the mean and median of the following set of numbers.
Mean = 11
Median = 2
Mean = 6
Median = 6
Mean = 8
Median = 10
Mean = 66
Median = 3
Mean = 9
Median = 8
Mean = 6
Median = 6
Average or Mean is the total divided by the number of items.
Total equals 66, divided by the 11 numbers equals 6.
The Median is the middle number when put in order from least to greatest.
Five numbers on the left of 6 and five numbers on the right of 6. Six is in the middle when in order from least to greatest.
Answer is 6.
Mean = 6
Median = 6
Example Question #13 : Analyzing Graphs And Figures
Using the following bar graph, what is the total number of books borrowed by Jessica and Emma?
When reading a bar graph, each bar contains different information. Look at the following bar graph.
The names of each student are displayed at the bottom. The number of books borrowed is displayed at the left. Each bar represents the number of books borrowed by a specific student.
We are asked to find the total number of books borrowed by Jessica and Emma. If we locate Jessica's name on the bottom, we can see the value of the bar is 5. This means Jessica borrowed 5 books. If we locate Emma's name on the bottom, we can see the value of the bar is 4. Now, finding the total number of books borrowed by Jessica and Emma, we simply add.
So the total number of books borrowed by Jessica and Emma is 9.
Example Question #14 : Analyzing Graphs And Figures
What is the midpoint of the following sets of coordinates.
The midpoint formula is:
Given our points are 
Simplifing the we find the coordinate of the midpoint.
Example Question #15 : Analyzing Graphs And Figures
What is the slope of a line that is horizontal like the following?
Undefined Slope
Zero Slope
Zero Slope
The slope of a horizontal line is zero.
The slope of a vertical line is undefined.
Example Question #16 : Analyzing Graphs And Figures
What percentage of books are NOT science fiction?
A pie chart contains portions that total to 100%. To find the percentage of books that are NOT science fiction, we subtract the percentage of science fiction from 100%.
The percentage of books that are sicence fiction is 17%. So,
Therefore, 83% of the books are NOT science fiction.
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