Line graph questions and answers provided here will definitely help students to grasp the concept more quickly. As we know, line graph is one of the graphical representations that interprets the data very clearly. Several line graph questions appear on almost all board exams. These questions can be used by students to get a rapid overview of the topics and practice them in order to get awareness of the subject. You can also verify your answer with the answer provided on our page. Click here for additional information on the line graph.
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What is a Line Graph? Line graphs are a type of graph that shows the relationship between two quantitative variables by connecting them with a straight line. The most common use for line graphs is to show the change in one variable over time. Line graphs are used in a variety of fields such as science, engineering, business and finance. Line graphs can be either horizontal or vertical depending on the variables being plotted. For example, a positive sloping line would indicate an increasing trend and would be helpful for predicting the future value of the data point. Also, read: Graphical Representation. |
Practice the line graph questions and solutions provided below to understand the concept very well.
Line Graph Questions with Solutions
1. Write the advantages of the line graph.
Solution:
Line graphs are very useful for showing a trend in data over time, and they can also be used for showing changes in two variables at the same time, like weight and height.
2. Give the disadvantage of the line graph.
Solution:
Line graphs are not as visually appealing as bar graphs. They are also difficult to read and understand, especially when there is a lot of data.
3. What does the slope represent on a line graph?
Solution:
The slope of a line on a graph is the measure of the steepness or incline of the line. The slope of a line on a graph is measured by looking at the change in y-coordinates over the change in x-coordinates. It can be positive or negative depending on whether the line goes up or down as it moves from left to right.
Slope of a line, m = rise/run = Change in y-coordinates / Change in x-coordinates.
4. How can I read and interpret a line graph?
Solution:
A line graph is a type of graph that shows the relationship between two numbers. One number is plotted on the x-axis, and the other is plotted on the y-axis. The x-axis represents time, while the y-axis represents a value. The two axes are perpendicular to each other. The values on the graph are connected by a line.
There are three types of lines that can be drawn: positive slope, negative slope, and zero slope (horizontal). A positive slope indicates an increase in one variable with an increase in another variable; a negative slope indicates a decrease in one variable with an increase in another variable, and a zero slope indicates no change over time.
5. Give the comparison between a line graph and a pie chart.
Solution:
A line graph is a way to display information over time. It can be used to compare changes in different variables, or to show how one variable changes in relation to another.
A pie chart is a circular chart divided into segments that represent the proportion of the whole. Pie charts are often used to illustrate how different categories contribute to a total amount.
6. The following table gives information on the favourite colours by the group of people.
|
Colours |
Yellow |
Pink |
Blue |
Green |
Orange |
|
No.of people |
16 |
20 |
30 |
26 |
35 |
Draw the line graph for the information provided.
Solution:
To draw the line graph for the information provided, plot the colours on the x-axis and the number of people on the y-axis.
Given Data:
Yellow = 16
Pink = 20
Blue = 30
Green = 26
Orange = 35
Hence, the line graph for the given information is as follows:
7. The following graph represents the profit percentage earned by 2 companies A and B on their investment. [Hint: Revenue = Investment + Profit]
Go through the line graph and answer the following questions.
(a) In which year, the ratio of investment and profit is maximum for company A?
(b) In which year, the investment is minimum for company B?
Solution:
(a) It is known that, if the percentage profit is lesser, the ratio of investment and profit will be greater. Thus, from the line graph, it is observed that the ratio of investment and profit will be maximum in the year 2001.
(b) As the graph does not have the data regarding the investment, we cannot determine the answer.
8. Read the line graph carefully and answer the following question:
In which year, the difference between the exports from company X and company Y was minimum?
Solution:
The following are the differences between the exports from company X and company Y during different years:
In the year 1993, the difference between company X and Company Y is:
= Rs. (80 – 30) crores = Rs. 50 crores.
Similarly, in the year 1994,
= Rs. 60 crores – 40 crores
= Rs. 20 crores.
In the year 1995,
= Rs. (60 – 40) crores
= Rs. 20 crores.
In the year 1996,
= Rs. (70 – 60) crores
= Rs. 10 crores.
In the year 1997,
= Rs. (100 – 80) crores
= Rs. 20 crores.
In the year 1998,
= Rs. (100 – 50) crores
= Rs. 50 crores.
In the year 1999,
= Rs. (140 – 120) crores
= Rs. 20 crores.
Hence, it clearly shows the difference between the exports from company X and company Y was minimum in the year 1996.
9. Read the line graph carefully and answer the following questions:
(a) What was the biggest deviation between the actual and the trend?
(b) How many times has actual production increased by more than 50% compared to the previous year?
Solution:
(a) From the given line graph, it is observed that the greatest deviation between the actual and the trend was in the year 90 – 91.
In that case, the actual value was 21000 and the trend value was 30000.
Therefore, the deviation of the actual value from the trend value is:
= (- 9000/30000) × 100 = – 30%.
(b) Actual production increased by more than 50% over the previous year between the years 83-84 and 86-87, as seen in the graph. As a result, the answer is two times..
10. The below graph shows the annual profit percentage earned by the company during the years 1995 to 2000.
(a) Find the year where the expenditure is minimum.
(b) what is the average profit earned during the years 1995 to 2000?
Solution:
(a) Since the line graph only represents the comparison for the profit percentage during the different years, we cannot determine the minimum expenditure. To find the minimum expenditure, more data is required.
(b) The profit percentage gained during different years is:
= (⅙) [40 + 45 + 55 + 60 + 65 + 70]
= (⅙)[335]
= 335/6.
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Practice Questions
Answer the following questions:
- The table below shows the information on how much sleep Rahul got each night for a week. Draw the line graph based on the given information.
- The table represents Akshay’s weight in kilograms for five months. Draw the line graph for the information provided.
- The given table represents the patient’s body temperature recorded every hour in a hospital. Draw the line graph for the given information:
|
Day |
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
Sunday |
|
Sleep (hours) |
7.1 |
6.3 |
5.9 |
8.3 |
9.1 |
9 |
5.8 |
|
Month |
Akshay’s weight in kilogram |
|
January |
48 |
|
February |
53 |
|
March |
60 |
|
April |
68 |
|
May |
72 |
|
Time |
9 am |
10 am |
11 am |
12 noon |
1 pm |
2 pm |
|
Temperature |
34°C |
35°C |
38°C |
37°C |
34. 5°C |
35.5°C |
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