﻿ Line Graph Worksheets | Problems & Solutions Line Graph Worksheets

Line Graph Worksheets
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1.
From the graph, find the average number of passengers traveling from New York to Seattle between the years 1960-1965.  a. 70000 b. 13000 c. 15000 d. 75000

Solution:

Each point on the line graph indicates the number of passengers from New York to Seattle during the particular years.

From the line graph, number of passengers traveling from New York to Seattle during the years 1960-1965 are 50000, 60000, 70000, 70000, 80000 and 90000.

Average number of passengers = Total number of passengers traveling during the years / Number of years

= (50000+60000+70000+70000+80000+90000)6

= 4200006= 70000
[Simplify.]

So, average number of passengers traveling from New York to Seattle during the years 1960 -1965 is 70000.

2.
Select a suitable line graph for the data shown in the table.
 Months June July August September October Number of Burgers Sold 300 400 100 400 600  a. Graph 1 b. Graph 2 c. Graph 3 d. Graph 4

Solution:

The height of each point on the graph corresponds to the number of burgers sold in the particular month.

From the table, the number of burgers sold is plotted along y-axis and the months along x-axis.

Observe the line graphs to match the plotted points with the values given in the table.

So, Graph 1 correctly matches the data shown in the table.

3.
The number of injuries that occurred for the Badgers during the high school football season over the last eight years is given in the table. Which of the line graphs represents the data?
 Year 1993 1994 1995 1996 1997 1998 1999 2000 Injuries 22 24 18 14 22 20 16 10  a. Graph 1 b. Graph 2 c. Graph 3 d. Graph 4

Solution:

The data can be plotted in the form of a line graph by taking the year along the x-axis and the number of injuries along the y-axis.

The height of each point in the line graph corresponds to the number of students injured in the particular year.

Observe the graphs to match the points with the values given in the table.

So, the values are plotted correctly in Graph 1.

4.
The number of women competing in the beauty contest increased steadily since the company started the contest in 1995, as shown in the table. Which of the line graphs represents the data in the table?
 1995 1996 1997 1998 1999 2000 25 50 125 250 300 400  a. Graph 4 b. Graph 3 c. Graph 2 d. Graph 1

Solution:

The height of each point in the line graphs indicates the number of women who participated in the beauty contest in the corresponding year.

Compare the vertical coordinates of each point in the graphs to match with the values in the table.

It can be observed that the values in the table match with the points in Graph 3.

So, Graph 3 is the appropriate representation of the data given in the table.

5.
The line graph represents the population of a country from the year 1989 through 1992. Find the increase in population during 1990 - 1992.  a. 70,000 millions b. 80,000 millions c. 90,000 millions d. 100,000 millions

Solution:

The height of each point plotted in the graph corresponds to the population of the country in the particular year.

So, the difference between the heights of two points is the increase in the population during the two years.

From the line graph, the population in 1990 is 170,000 millions and the population in 1992 = 250,000 millions

So, the increase in population from the year 1990 to 1992 = population in 1992 - population in 1990 = 250,000 - 170,000 = 80,000 millions

6.
The line graph shows the snowfalls(in inches) in a state during different months. What is the difference between the snowfalls (in inches) during August and October ?  a. 3 b. 4 c. 1 d. 2

Solution:

In the graph, the vertical distance of each point indicates the snowfall of the state during the particular month.

From the graph, the snowfall (in inches) of the state in August is 1 and that in October is 3.

So, the difference between the snowfall in the state during August and October = 3 - 1 = 2

7.
The line graph shows the income of the U.S. tourism department. In which of the years was the annual income the minimum?  a. 1961 b. 1960 c. 1964 d. 1963

Solution:

The vertical coordinate of each point on the graph indicates the income (in $millions) of the U.S. tourism during the particular year. From the graph, the income of the department in 1960 was$110 millions, which was the minimum.

So, the income of the U.S. tourism department was minimum in the year 1960.

8.
The line graph shows the number of students in each grade of a school. What does the first number in the ordered pair (7, 10) represent?  a. grade wise strengths b. line graph c. grade d. number of students

9.
The line graph shows the rainfall (in inches) recorded between July and December. Find the rainfall (in inches) in August.

10.
The population of a country was 2 million, 2 million, 4 million, 6 million, and 8 million in the years 1980,1985,1990,1995, 2000 respectively. Which line graph represents the data correctly?  a. Graph 3 b. Graph 4 c. Graph 1 d. Graph 2