GED Math : Line Graphs

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #1 : Line Graphs

Line_graph

Refer to the above line graph, which tracks the high temperature in a town over one calendar week.

Of the days shown, between which two consecutive days did the peak temperature decrease the most?

Possible Answers:

Between Tuesday and Wednesday

Between Friday and Saturday

Between Monday and Tuesday

Between Wednesday and Thursday

Correct answer:

Between Monday and Tuesday

Explanation:

The segments that represent decreases are the ones that go from upper left to lower right. There are four, and the steepest is the one between Monday and Tuesday. This is the correct response.

Example Question #2 : Line Graphs

Line_graph

Refer to the above line graph, which tracks the high temperature in a town over one calendar week.

Of the days shown, how many had a peak temperature at or above \(\displaystyle 60^{\circ }\) ?

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 7\)

\(\displaystyle 3\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

The dot representing Thursday is the only one of the seven that appears below 60 on the graph, so 6 is the correct response.

Example Question #2 : Line Graphs

Line_graph

Refer to the above line graph, which tracks the high temperature in a town over one calendar week.

How many days shown have a peak temperature higher than Friday's high temperature?

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 3\)

Explanation:

Only the three dots representing the peak temperatures of Sunday, Monday, and Tuesday are higher than the one representing that of Thursday, so the correct response is three.

Example Question #254 : Statistics

Use the following line graph to answer the question:

Linegraph

How many enrollments were there in January?

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 25\)

\(\displaystyle 21\)

\(\displaystyle 15\)

\(\displaystyle 18\)

Correct answer:

\(\displaystyle 10\)

Explanation:

Let's look at the line graph.

Linegraph

We can see the bottom axis displays the individual months. We can see the scale on the left displaying the number of enrollments.

So, to find the number of enrollments in January, we will first locate January on the bottom axis. We can see that it is the first one listed.

Now, we will see which number it corresponds with. We can see that it lines up with 10.

Therefore, the number of enrollments in January is 10.

Example Question #4 : Line Graphs

Use the following line graph to answer the question:

Linegraph2

Approximately, how many 12th grade enrollments were there in 2013?

Possible Answers:

\(\displaystyle 116\)

\(\displaystyle 136\)

\(\displaystyle 129\)

\(\displaystyle 142\)

\(\displaystyle 121\)

Correct answer:

\(\displaystyle 136\)

Explanation:

Let's look at the graph:

Linegraph2

If we look at the year 2013, we can see the data point is between 120 and 140.

We can also see that it is much closer to 140 than it is to 120. 

From looking at the location of the data point, we can approximate that there were 136 12th grade enrollments in 2013.

Example Question #1 : Line Graphs

The following graph charts the amount of rain received per month over the span of a year.

1

What is the average amount of rain, in inches, received in the first six months of the year?

Possible Answers:

\(\displaystyle 3.79\)

\(\displaystyle 3.11\)

\(\displaystyle 2.84\)

\(\displaystyle 2.46\)

Correct answer:

\(\displaystyle 3.79\)

Explanation:

Start by finding the values for the first six months of the year.

In January, there was \(\displaystyle 1.25\) inches.

In February and March, there were \(\displaystyle 2.25\) inches per month.

In April, there was \(\displaystyle 4.75\) inches.

In May, there was \(\displaystyle 5.75\) inches.

In June, there was \(\displaystyle 6.5\) inches.

Recall how to find the average for a set of numbers:

\(\displaystyle \text{Average}=\frac{\text{Sum of all Values}}{\text{Number of Values}}\)

Plug in the values for the rainfall and divide by the number of values.

\(\displaystyle \text{Average}=\frac{1.25+2.25+2.25+4.75+5.75+6.5}{6}=3.79\)

Example Question #4 : Line Graphs

The following graph charts the amount of rain received per month over the span of a year.

1

By what percent did the amount of rainfall increase between March and April?

Possible Answers:

\(\displaystyle 111.11\%\)

\(\displaystyle 52.63\%\)

\(\displaystyle 1.11\%\)

\(\displaystyle 63.97\%\)

Correct answer:

\(\displaystyle 111.11\%\)

Explanation:

Recall how to find the percent change for two values:

\(\displaystyle \text{Percent Change}=\frac{\text{New value-Old value}}{\text{Old value}}\times 100\%\)

The new value in this case would be the value from April, and the old value would be the value from March.

Plug in the correct values to find the percent change:

\(\displaystyle \text{Percent Change}=\frac{4.75-2.25}{2.25}\times 100\%=111.11\%\)

Example Question #51 : Representing Data

The following graph charts the amount of rain received per month over the span of a year.

1

What is the median amount of rainfall in the last six months of the year?

Possible Answers:

\(\displaystyle 2.125\)

\(\displaystyle 2\)

\(\displaystyle 2.25\)

\(\displaystyle 1.75\)

Correct answer:

\(\displaystyle 2.125\)

Explanation:

Start by finding the values from the last six months of the year.

July 2.25
August 1.75
September 1.5
October 3.5
November 3.75
December 2

Next, place these values in increasing order:

\(\displaystyle 1.5, 1.75, 2, 2.25, 3.5, 3.75\)

Since there is an even number of values, the median will be the number between the third and fourth terms. In this case, the median will be between \(\displaystyle 2\) and \(\displaystyle 2.25\).

The value in between those numbers is \(\displaystyle 2.125\).

Example Question #2 : Line Graphs

The following graph charts the number of attendees at a theme park over the course of a year.

1

By what percentage did attendance at the park increase from April to May?

Possible Answers:

\(\displaystyle 89.67\%\)

\(\displaystyle 48.28\%\)

\(\displaystyle 101.59\%\)

\(\displaystyle 93.33\%\)

Correct answer:

\(\displaystyle 93.33\%\)

Explanation:

Recall how to find the percent change:

\(\displaystyle \text{Percent Change}=\frac{\text{New value - Old value}}{\text{Old value}} \times 100\%\)

In this case, the new value is the number of attendees in May, and the old value is the number of attendees in April.

From the graph, you can see that there were \(\displaystyle 29000\) in May and \(\displaystyle 15000\) in April.

Plug these numbers into the equation to find the percent change.

\(\displaystyle \frac{29000-15000}{15000}\times 100\%=93.33\%\)

Example Question #5 : Line Graphs

The following graph charts the number of attendees at a theme park over the course of a year.

1

The increase in the number of attendees between April and May is how much larger than the increase in the number of attendees between June and July?

Possible Answers:

\(\displaystyle 4000\)

\(\displaystyle 14000\)

\(\displaystyle 7000\)

\(\displaystyle 10000\)

Correct answer:

\(\displaystyle 7000\)

Explanation:

Start by looking at the graph and finding out how many attendees there were for the listed months.

There were \(\displaystyle 15000\) attendees in April, \(\displaystyle 29000\) in May, \(\displaystyle 30000\) in June, and \(\displaystyle 37000\) in July.

Now, the increase in attendees between April and May is \(\displaystyle 14000\), and the increase in attendees from June to July is \(\displaystyle 7000\).

Thus, the difference in the amount of increases is \(\displaystyle 7000\).

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