Solved Examples and Worksheet for Constructing Line Plots

Q1Pick the correct line plot displaying the data set 2, 4, 2, 6, 3, 5, 4, 2 and 5.

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Solutions
Share 
Step: 1
On a line plot, the number of times a data value occurs in a data set is indicated by cross marks above that value on a number line.
Step: 2
Arranging the data in the ascending order, the sequence becomes 2, 2, 2, 3, 4, 4, 5, 5, 6.
Step: 3
The line plot is obtained by labeling all unique data values on the line and representing the number of times a data value is repeated in the form of cross marks.
Step: 4
The line plot given in Figure 1, represents the data correctly.
  [The number of occurrences of each data value match with the number of cross marks.]
Correct Answer is :   Figure 1
Q2Pick the correct line plot for the data in the frequency table.
Number Frequency
12
23
33
42
54



A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Solutions
Share 
Step: 1
The line plot is a representation of the data on a number line, where each unique data value is a point on the line and the number of times it occurs in the set is indicated by crosses over its position on the number line.
Step: 2
From the frequency table, a list of the unique data values can be obtained and the frequency column gives the number of times each value occurs in the data set.
Step: 3
Plot this data with numbers 1-5 on the number line. Put the number of crosses over the values to indicate frequency / repeated occurrence.
Step: 4
Observing the choices, the number of occurrences of each data value match with the number of cross symbols in the Figure 3.
Step: 5
So, the line plot given in Figure 3 is the correct plot for this data.
Correct Answer is :   Figure 3
Q3Which line plot displays the data set 45, 49, 53, 54, 57, 49, 58, 52 accurately?


A. Plot 1
B. Plot 2
C. Plot 3
D. Plot 4

Solutions
Share 
Step: 1
On a line plot, the number of times a data value occurs in a data set is indicated by cross marks above that value on a number line.
Step: 2
Arranging the data in the ascending order, the sequence becomes 45, 49, 49, 52, 53, 54, 57, 58.
Step: 3
The line plot is obtained by labeling all unique data values on the line and representing the number of times a data value is repeated in the form of cross marks.
Step: 4
Plot 3 is the correct representation of the data.
  [The number of occurrences of each data value match with the number of cross marks.]
Correct Answer is :   Plot 3
Q4The number of children of different ages living in a complex are given in the table. Select an appropriate graph for the data.
AgeNumber of children
149
157
164



A. Graph 1
B. Graph 2
C. Graph 3
D. Graph 4

Solutions
Share 
Step: 1
To make a line plot, list the ages of the children in the table below a horizontal line.
Step: 2
Represent the number of children in same age as the number of cross marks above the corresponding age.
Step: 3
Observing all the line plots, the number of cross marks in line plot in Graph-1 match with the data given in the table.
Step: 4
So, the line plot in Graph-1 is the appropriate representation of the data given in the table.
Correct Answer is :   Graph 1
Q5The bar graph displays the number of people who like different food items. Identify the line plot that represents the data appropriately.

A. Plot 1
B. Plot 2

Solutions
Share 
Step: 1
The height of each bar in the bar graph indicates the number of people who eat the corresponding food items.
Step: 2
To make a line plot, list the names of the food items in the bar graph, below a horizontal line.
Step: 3
Represent the number of persons who eat each food item as the number of cross marks above the corresponding food item.
Step: 4
Observing all the line plots, the number of cross marks in line plot in Plot-1 match with the data shown in the bar graph
Step: 5
So, plot 1 is the correct choice.
Correct Answer is :   Plot 1
Q6Pick an appropriate line plot that represents the scores 20,20,20,21,21,22,22,23,23,23 and 24, of 10 students.


A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Solutions
Share 
Step: 1
20,20,20,21,21,22,22,23,23,23 and 24.
  [Original data set.]
Step: 2
The number of times 20 occurred in the set = 3.
Step: 3
The number of times 21 occurred in the set = 2.
Step: 4
The number of times 22 occurred in the set = 2.
Step: 5
The number of times 23 occurred in the set = 3.
Step: 6
The number of times 24 occurred in the set = 1.
Step: 7
In a line plot, the number of times a data value occurs in the data set is indicated by cross marks above the respective data value on the number line.
Step: 8
Comparing the steps above with the line plots, we notice that Figure 4 is the correct choice.
Correct Answer is :   Figure 4
Q7Pick an appropriate line plot for the scores obtained by students.
Scores obtained are 20, 20, 20, 21, 21, 22, 23, 23, 23, and 24.


A. Graph 2
B. Graph 1
C. Graph 3
D. Graph 4

Solutions
Share 
Step: 1
20, 20, 20, 21, 21, 22, 23, 23, 23, and 24.
  [Original data set.]
Step: 2
The number of times 20 occurred in the set = 3.
Step: 3
The number of times 21 occurred in the set = 2.
Step: 4
The number of times 22 occurred in the set = 1.
Step: 5
The number of times 23 occurred in the set = 3.
Step: 6
The number of times 24 occurred in the set = 1.
Step: 7
The number of times data value occurred in data is indicated by cross marks above the value on a number line.
Step: 8
By comparing the above steps by the line plots, Graph 1 is the appropriate line plot.
Correct Answer is :   Graph 1
Q8Which of the line plots displays the data set, 45, 49, 53, 57, 54, 49, 58, 52 correctly?


A. Plot 1
B. Plot 2
C. Plot 3
D. Plot 4

Solutions
Share 
Step: 1
In a line plot, the number of times a data value occurs in a data set is indicated by cross marks above that value on the number line.
Step: 2
So, Plot 3 is the correct representation of the data.
  [The number of occurrences of each data value match with the number of cross symbols.]
Correct Answer is :   Plot 3
Q9Pick an appropriate line plot that would correctly represent the scores obtained by students, given below.
30, 30, 30, 30, 35, 35, 35, 40, 40, 45, 45, 45, 45, 45, 50, 50, and 50

A. Figure 1
B. Figure 3
C. Figure 2
D. Figure 4

Solutions
Share 
Step: 1
30, 30, 30, 30, 35, 35, 35, 40, 40, 45, 45, 45, 45, 45, 50, 50, and 50.
  [Original data set.]
Step: 2
The number of times 30 occurred in the set = 4 times.
Step: 3
The number of times 35 occurred in the set = 3 times.
Step: 4
The number of times 40 occurred in the set = 2 times.
Step: 5
The number of times 45 occurred in the set = 5 times.
Step: 6
The number of times 50 occurred in the set = 3 times.
Step: 7
The number of times data value occurred in data is indicated by cross marks above the value on a number line.
Step: 8
By comparing the above steps by the line plots, Figure 2 is an appropriate line plot.
Correct Answer is :   Figure 2
Q10Pick an appropriate line plot that represents the following scores obtained by students.
66, 69, 67, 68, 66, 67, 66, 67, 67, 66, 68, 69, 67, 67, 68, 69, and 68

A. Graph 4
B. Graph 3
C. Graph 1
D. Graph 2

Solutions
Share 
Step: 1
66, 69, 67, 68, 66, 67, 66, 67, 67, 66, 68, 69, 67, 67, 68, 69 and 68.
  [Original data set.]
Step: 2
The number of times a data value occurred in data is indicated by cross marks above the value on a number line.
Step: 3
The number of times 66 occurred in the set = 4.
Step: 4
The number of times 67 occurred in the set = 6.
Step: 5
The number of times 68 occurred in the set = 4.
Step: 6
The number of times 69 occurred in the set = 3.
Step: 7
By comparing the above values with the line plots, Graph 1 is the appropriate line plot.
Correct Answer is :   Graph 1
Q11Choose the appropriate line plot that shows the number of vowels in the sentence 'There is a coat'.


A. Figure 3
B. Figure 1
C. Figure 4
D. Figure 2

Solutions
Share 
Step: 1
The vowels in the English alphabets are a, e, i, o, and u.
Step: 2
To make the line plot, represent the vowels under a horizontal line.
Step: 3
The number of a's, e's, i's, o's, and u's in the sentence are 2, 2, 1, 1, and 0 respectively.
Step: 4
Mark the occurrences of each vowel as cross marks above the corresponding vowel.
Step: 5
Observing the line plots, the plot in Figure 2 is the appropriate plot for the number of vowels in the sentence.
  [The number of cross marks exactly match the number of different vowels.]
Correct Answer is :   Figure 2
Q12Both Sam and Andy have the habbit of collecting stamps.The bar graph shows the collection of stamps of Sam and Andy for the 5 weeks. Identify the line plot that best suits the bar graph.


A. Line Plot 1
B. Line Plot 2
C. Line Plot 4
D. Line Plot 3

Solutions
Share 
Step: 1
Interpret the data shown on the bar graph in a table as shown.
Step: 2
Now, match the data on the table with each graph shown.
Step: 3
Only Line Plot 3 correctly matches the data.
Correct Answer is :   Line Plot 3
Q13The stem-and-leaf plot shows the scores of 18 students on a math test. Which of the graphs best matches the stem-and-leaf plot?

A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Solutions
Share 
Step: 1
Match the data shown on the stem-and-leaf plot with each line plot shown.
  [Compare the number of cross marks above each range of scores on the line plot with the number of entries against the respective range on the stem-and-leaf plot.]
Step: 2
Only Graph 1 correctly matches the data.
Correct Answer is :   Graph 1
Q14Which dot plot displays the data set 13, 16, 18, 11, 20, 16, 15, 20, 16, 15 accurately?

A. Plot 1
B. Plot 3
C. Plot 4
D. Plot 2

Solutions
Share 
Step: 1
Given data set in ascending order is 11, 13, 15, 15, 16, 16, 16, 18, 20, 20.
Step: 2
The number of times 11 has occurred in the data = 1
The number of times 13 has occurred in the data = 1
The number of times 15 has occurred in the data = 2
The number of times 16 has occurred in the data = 3
The number of times 18 has occurred in the data = 1
The number of times 20 has occurred in the data = 2
Step: 3
In a dot plot, the number of times the data has occurred is represented by dots above the respective data over a number line.
Step: 4
Comparing the above steps with the given dot plots, we see that Plot 2 represents the given data correctly.
Correct Answer is :   Plot 2
Q15Emily has to put 6 kg of peanuts into some small bags. She has four 12 kg bags, four 14 kg bags and four 34 kg bags. Pick an appropriate dot plot for the given data.


A. Plot 2
B. Plot 3
C. Plot 1
D. Plot 4

Solutions
Share 
Step: 1
In a dot plot, the number of times the data has occurred is represented by dots above the respective data over a number line.
Step: 2
Number of 14 kg bags = 4
Step: 3
Number of 12 kg bags = 4
Step: 4
Number of 34 kg bags = 4
Step: 5
Comparing the above steps with the given dot plots, we see that Plot 3 represents the given data correctly
Correct Answer is :   Plot 3

HighSchool Math