A scatter plot is a type of mathematical diagram that uses Cartesian coordinates to display values for two variables from a data set. Scatter plots are used to determine if there is a relationship between the two variables. Key characteristics of scatter plots include their form, direction, strength, and presence of outliers. Scatter plots are beneficial for displaying paired numerical data, or when there are multiple dependent variable values for each independent variable value. Scatter plots can show positive correlation, negative correlation, or no correlation between the two variables.

1. Mrs. K.KASTHURI,
Assistant Professor,
V.V.Vanniaperumal College for Women,
Virudhunagar

2. Definition of Scatter plot
 A scatter plot is a type of plot or mathematical diagram
using Cartesian coordinates to display values for
typically two variables for a set of data.
 It is also called as scatter graph, scatter chart,
scattergram, or scatter diagram.

3. What is a scatter plot used for?
 Scatter plot used to determine whether or not two variables
have a relationship or correlation.
 A scatter plot (aka scatter chart, scatter graph) uses dots to
represent values for two different numeric variables.
Example

4. characteristics of a scatter plot
 scatter plot has 4 characteristics. They are
 Form
 Direction
 Strength
 Outliers
1. Form - Is the association linear or nonlinear?
2. Direction - Is the association positive or negative.
3. Strength - the association appear to be strong, moderately strong, or
weak
4. Outliers - Do there appear to be any data points that are unusually far
away from the general pattern.

5. When to use scatter plot
 Scatter plots are used in either of the following
situations.
 When we have paired numerical data
 When there are multiple values of the dependent
variable for a unique value of an independent variable
 In determining the relationship between variables in
some scenarios, such as identifying potential root
causes of problems, checking whether two products
that appear to be related both occur with the exact
cause and so on.

6. Scatter Plot Uses and Examples
 Scatter plots instantly report a large volume of data. It
is beneficial in the following situations
 For a large set of data points given
 Each set comprises a pair of values
 The given data is in numeric form

7. Scatter plot Correlation
 The correlation is a statistical measure of the
relationship between the two variables’ relative
movements.
 If the variables are correlated, the points will fall
along a line or curve.
 The better the correlation, the closer the points will
touch the line.

8. Types of correlation
 The scatter plot explains the correlation between two
attributes or variables.
 It represents how closely the two variables are
connected.
 There can be three such situations to see the relation
between the two variables. They are
1. Positive Correlation
2. Negative Correlation
3. No Correlation

9. Positive Correlation
 When the points in the graph are rising, moving from left to
right, then the scatter plot shows a positive correlation.
 It means the values of one variable are increasing with respect
to another.
 Now positive correlation can further be classified into three
categories:
1. Perfect Positive – Which represents a perfectly straight line
2. High Positive – All points are nearby
3. Low Positive – When all the points are scattered

10. Negative Correlation
 When the points in the scatter graph fall while moving left to
right, then it is called a negative correlation.
 It means the values of one variable are decreasing with respect
to another.
 These are also of three types:
1. Perfect Negative – Which form almost a straight line
2. High Negative – When points are near to one another
3. Low Negative – When points are in scattered form

11. No Correlation
 When the points are scattered all over the graph and it is
difficult to conclude whether the values are increasing or
decreasing, then there is no correlation between the variables.

12. Scatter plot Example
 Construct a scatter plot with the help of the below example.
 Question:
 Draw a scatter plot for the given data that shows the number of games
played and scores obtained in each instance.
Solution:
 X-axis or horizontal axis: Number of games
 Y-axis or vertical axis: Scores
 Now, the scatter graph will be:
No. of
games
3 5 2 6 7 1 2 7 1 7
Scores 80 90 75 80 90 50 65 85 40 100

13. Thank you