We can compare dot plots visually using various characteristics, such as center, spread, and shape.

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Let us understand how dot plots can be compared visually through the following examples.

Example 1 :

When creating a figure with multiple plots, users often want one title centered over all plots instead of individual titles. A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

Plot likert scales as centered stacked bars. Note that only even numbers of categories are possible to plot, so the 'positive' and 'negative' values can be splitted into two halfs.

The dot plots show the heights of 15 high school basketball players and the heights of 15 high school softball players.

1. Visually compare the shapes of the dot plots.

Softball : All the data is 5’6” or less.

Basketball : Most of the data is 5’8” or greater.

As a group, the softball players are shorter than the basketball players.

2. Visually compare the centers of the dot plots.

Softball : The data is centered around 5’4”.

Basketball : The data is centered around 5’8”.

This means that the most common height for the softball players is 5 feet 4 inches, and for the basketball players 5 feet 8 inches.

3. Visually compare the spreads of the dot plots.

Softball : The spread is from 4’11” to 5’6”.

Basketball : The spread is from 5’2” to 6’0”.

There is a greater spread in heights for the basketball players.

4. Visually compare the dot plot of heights of field hockey players to the dot plots for softball and basketball players.

Shape :

Dot plots for field hockey players and softball players have a similar spread.

Center :

Center of the field hockey dot plot is less than the center for softball or basketball players.

Spread :

Dot plots for field hockey players and softball players have a similar spread.

Example 2 :

The dot plots show the shoe sizes of two different groups of people.

1. Visually compare the shapes of the dot plots.

Group A : clustered to the left of size 9 ;

Group B : clustered to the right of size 9

2. Visually compare the medians of the dot plots.

Group A : median at size 8 ;

Group B : median at size 9.5

3. Visually compare the ranges of the dot plots (with and without the outliers).

Group A : range with outlier = 6.5, without outlier = 2.5;

Group B : range = 3

4. Provide a possible explanation for the results of the dot plots.

Group A could be children and Group B could be adults.

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