# Scatter Plot Worksheet

Scatter Plot Worksheet
• Page 1
1.
What sort of trend is shown in the scatter plot?

 a. No trend b. Negative trend c. Constant trend d. Positive trend

#### Solution:

In the scatter plot, weight of a person is increasing along with his age.

Positive trend is the one in which, if one set of values increases, the other set also tends to increase.

So, the scatter plot follows a positive trend.

2.
A wholesale dealer of stationery products plots the scatter diagram of his income through the years 1985 to 2000. In which year was his income the highest?

 a. 1990 b. 1985 c. 2000 d. 1995

#### Solution:

The height of each point in the graph indicates the income (in $1000) of the dealer in the particular year. From the graph, the incomes of the dealer in 1985, 1990, 1995 and 2000 are$40000, $45000,$35000, and $50000. The income of the dealer in 2000, which is$50000 was the maximum.

3.
The 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 20 25 9th 30 28 10th 40 35 11th 60 45 12th 80 65

 a. Plot 1 b. Plot 2 c. Plot 3 d. Plot 4

#### Solution:

The height of each point represents the number of students of a particular gender in a particular grade.

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.

Observe each of the scatter plots and the heights of the points and match them with the values in the table.

It is observed that the scatter plot given in Plot 1 corresponds with the values given in the table.

So, Plot 1 is the appropriate scatter plot graph for the data.

4.
The scatter plot shown gives the relationship between the demand and price of consumer goods. What trend does the graph follow?

 a. No trend b. Negative trend c. Positive trend

#### Solution:

From the graph, as the demand of an item rises, there is a rise in the price of the item and as the demand reduces there is a decrease in the price of an item.

If one set of data tends to increase with an increase in the other set, the plot is said to have a positive trend.

So, the scatter plot shows a positive trend.

5.
The graph depicts the relation between the price and the supply of an item. What trend does the graph follow?

 a. no trend b. data is insufficient to decide the kind of trend c. positive trend d. negative trend

#### Solution:

From the graph, as the supply of an item increases, the price of the item decreases and as the supply decreases, the price of the item increases.

If one set of data values tends to decrease with an increase in the other set of data, the plot is said to follow a negative trend.

So, the scatter plot shows a negative trend.
[Price decreases as supply increases.]

6.
Rose measured the depth of water in a bathtub at two-minute intervals after the tap was turned on. The table shows the data prepared by her. Pick the appropriate scatter plot for the data.

 Time (in minutes) Depth (in cm) 2 7 4 8 6 13 8 19 10 20 12 24 14 32 16 37 18 38 20 41 22 47

 a. Graph 2 b. Graph 3 c. Graph 1 d. Graph 4

7.
The 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 4 b. Graph 1 c. Graph 3 d. Graph 2

8.
Which scatter plot shows no relationship between the test scores of Samuel and the temperature of the classroom?

 a. Graph 2 b. Graph 4 c. Graph 3 d. Graph 1

9.
The table shows the height and foot length of students in a class. Select the appropriate scatter plot for the data.
 Height (cm) Foot Length (cm) 102 15.5 103 15.6 109 16 114 16.2 118 16.5 120 16.8 122 18 124 18.5 126 18.8 130 19.3

 a. Graph 2 b. Graph 3 c. Graph 4 d. Graph 1