#### Solved Examples and Worksheet for Constructing Scatter Plots

Q1Annie measured the depth of water in a bathtub at two-minute intervals after the tap was turned on. The table shows her data. Make a scatter plot for the data.
 Time (in minutes) Depth (in cm) 2 6 4 7 6 18 8 19 10 20 12 24 14 32 16 37 18 38 20 41 22 47 A. Graph 1
B. Graph 4
C. Graph 3
D. Graph 2

Step: 1
On a graph paper, represent the time in minutes along the x-axis and the depth of water in the bathtub along the y-axis.
Step: 2
Plot the values on the graph, corresponding with those given in the table. The scatter plot should look like the one below. Step: 3
Graph 1 matches the given data.
Correct Answer is :   Graph 1
Q2Holly measured the depth of water in a bathtub at two-minute intervals after the tap was turned on. The table shows her data. Make a scatter plot for the data.
 Time (in minutes) Depth (in cm) 2 6 4 7 6 18 8 29 10 20 12 24 14 18 16 37 18 38 20 41 22 47 A. Graph 4
B. Graph 2
C. Graph 3
D. Graph 1

Step: 1
In a graph paper, represent the time in minutes along the x-axis and the depth of water in the bathtub along the y-axis.
Step: 2
Plot the values in the table. The scatter plot would look like the one below. Step: 3
Graph 2 matches the given data.
Correct Answer is :   Graph 2
Q3The heights of different peaks are shown in the table. Identify the scatter plot that represents the data in the table.
 Peak Elevation (in ft) 1 6641 2 6660 3 6641 4 6680 A. Plot 4
B. Plot 1
C. Plot 2
D. Plot 3

Step: 1
Start at the origin on a scatter plot.
Step: 2
Move 1 unit to the right on the horizontal axis.
[To represent Peak 1.]
Step: 3
Move 6,641 units up from the horizontal axis and plot a point.
[The height of the peak 1 is 6,641 ft]
Step: 4
From the origin move 2 units to the right on the horizontal axis.
[To represent Peak 2.]
Step: 5
Move 6,660 units up from the horizontal axis and plot a point.
[The height of Peak 2 is 6,660 ft.]
Step: 6
From the origin move 3 units to the right on the horizontal axis.
[To represent Peak 3.]
Step: 7
Move 6,641 units up from the horizontal axis and plot a point.
[The height of Peak 3 is 6,641 ft.]
Step: 8
From the origin move 4 units to the right on the horizontal axis.
[To represent the Peak 4.]
Step: 9
Move 6,680 units up from the horizontal axis and plot a point.
[The height of Peak 4 is 6,680 ft.]
Step: 10
Plot 4 is the scatter plot that represents the data given in the table.
Correct Answer is :   Plot 4
Q4Choose the appropriate scatter diagram for the number of hours worked and determine the relationship between the weekly pay (in \$) an employee gets for doing certain job.
 Hours worked (x) Weekly pay (y) 10 50 12 55 14 55 15 60 16 73 18 70 20 75 22 87 23 90 A. Graph 3, negative relationship
B. Graph 4, positive relationship
C. Graph 2, positive relationship
D. Graph 1, positive relationship

Step: 1
Construct a scatter plot for the data. Step: 2
From the scatter diagram, we can say that as the hours worked increases the weekly pay also increases.
Step: 3
So, the relationship is a positive relationship.
Step: 4
Therefore, Graph 1 is the correct answer since it matches the graph plotted.
Correct Answer is :   Graph 1, positive relationship
Q5Construct a scatter diagram for the data shown in a state representing the total number of rooms in a house and the total number of houses in percentages. Determine the realtionship between the number of rooms and the number of houses.
 Number of rooms (x) Percentage of number of houses (y) 1 2.2 2 4.8 3 9.7 4 16.0 5 20.9 6 18.5 7 12.1 8 8.1 9 7.7 A. Graph 1, no relationship
B. Graph 3, no relationship
C. Graph 2, no relationship
D. Graph 4, no relationship

Step: 1
Plot the scatter diagram for the data. Step: 2
From the scatter diagram, we can say that the graph does not follow any trend.
Step: 3
So, there is no relationship.
Step: 4
Therefore, Graph 2 is the correct answer since it matches the graph plotted.
Correct Answer is :   Graph 2, no relationship
Q6The table shows the data collected by a Consumer Products Group, on the relationship between the weight of a car and its average gas mileage.

 Car Type Weight (pounds) miles per gallon A 2750 29 B 3125 23 C 2100 33 D 4082 18 E 2690 20 F 3640 21 G 4380 14 H 2241 25 I 2895 31 J 3659 17

Pick the appropriate scatter plot for the data. A. Graph 2
B. Graph 2 and Graph 3
C. Graph 3
D. Graph 4
E. Graph 1

Step: 1
The values in the table match with Graph 3.
Correct Answer is :   Graph 3
Q7Which scatter plot shows positive relationship between the weight and seeds in papaya? A. Graph 1
B. Graph 4
C. Graph 3
D. Graph 1 and Graph 2
E. Graph 2

Step: 1
There exists a positive relationship between the weight and seeds in papaya if the weight increases with the number of seeds.
Step: 2
Only Graph 2 shows this relation. So, Graph 2 is the correct answer.
Correct Answer is :   Graph 2
Q8The number of boys and girls in different grades of a school are given in the table. Pick the appropriate scatter plot for the data.
 Grades Boys Girls 8th 80 25 9th 60 30 10th 40 35 11th 30 45 12th 20 65 A. Plot 3
B. Plot 1
C. Plot 2
D. Plot 4

Step: 1
The height of each point represent the number of students of a particular gender in a particular grade.
Step: 2
The yellow colored points in the scatter plots represent the number of boys and the blue colored points represent the number of girls in each grade.
Step: 3
Observe the scatter plots for the heights of the points to match with the values in the table.
Step: 4
It can be observed that the scatter plot given in Plot 3 exactly matches the values given in the table.
Step: 5
So, Plot 3 is the appropriate scatter plot graph for the data.
Correct Answer is :   Plot 3
Q9The table shows the number of oranges in bags and the weights of the bags.
Make a scatter plot for the data.
 Number of Oranges Weight (lb) 4 2 5 3 5 4 6 3 7 4 7 5 8 4 8 7 9 6 9 8 A. Graph 2
B. Graph 4
C. Graph 3
D. Graph 1

Q10The table shows the weight of a child as he ages. Choose the appropriate scatter plot which best represents the table.
 Age (in years) Weight (in pounds) 2 20 3 20 4 28 5 35 6 35 A. Figure 1
B. Figure 4
C. Figure 3
D. Figure 2

Step: 1
In the scatter plots, the age of the child is taken along the x-axis and his weight is taken along y-axis.
Step: 2
Each point indicates the weight of the child at the particular age.
Step: 3
Observe the graphs to match the heights of the points with the values given in the table.
Step: 4
It is observed that the points in Figure 3 exactly match the values in the table.
Step: 5
So, Figure 3 is the appropriate representation of the values in the table.
Correct Answer is :   Figure 3
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