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Types of Data Displays. Based on the 2008 AZ State Mathematics Standard. Pictograph (Grades 1 and 2). Pictograph (Grades 1 and 2) For Grade 1 : the pictures/icons in the pictograph represent a quantity of 1.

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Types of Data Displays

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Types of Data Displays

Based on the 2008

AZ State Mathematics Standard

Pictograph(Grades 1 and 2)


(Grades 1 and 2)

For Grade 1: the pictures/icons in the pictograph represent a quantity of 1.

For Grade 2: The pictures/icons in the pictograph represent more than 1 and a key is required to interpret the graph.

Pictograph Example

Pictographs Summary

Tally Chart “Favorite Pets”(Grade 1)

Frequency Table“Favorite Pets”(Grades 2 and 3)

Note: A frequency table may or may not have a column for the tally marks.

Pictograph made from the previous tally chart and frequency table

Bar Graphs(Grades 2, 3, 4, 5)

Bar Graphs(Grades 2, 3, 4, 5)

Grade 2: Single Bar Graph

Grade 3: Single Bar Graph

Grade 4: Double Bar Graph

Grade 5: Multi-Bar Graph

Bar Graph made from previous tally chart and pictograph

Bar Graphs Example

Horizontal Bar Graph Example

Vertical Bar Graph Example

Which Direction?

Vertical Bar Graph

Displays data better than horizontal bar graphs, and is preferred when possible.

Horizontal Bar Graph

Useful when category names are too long to fit at the foot of a column.

Vertical vs. Horizontal

Double Bar Graph(Grade 4)

Multi-Bar Graph(Grade 5)

Line Graph(Grades 3, 4, 5)

Line Graph(Grades 3, 4, 5)

  • Grade 3: Single Line Graph

  • Grade 4: Single Line Graph

  • Grade 5: Double Line Graph

Single Line Graph(Grades 3 and 4)

Double Line Graph(Grade 5)

Pie Chart – Circle Graph(Grade 4)

Pie Chart – Circle Graph Example

Pie (circle) charts - more info

  • A way of summarizing a set of categorical data or displaying the different values of a given variable (e.g. percentage distribution).

  • A circle is divided into a series of segments. Each segment represents a particular category.

  • The area of each segment is the same proportion of a circle’s area as the category is of the total data set.

  • Quite popular. Circle provides a visual concept of the whole (100%).

Best used for displaying statistical information when there are no more than six components – otherwise, the resulting picture will be too complex to understand.

Pie charts are not useful when the values of each component are similar because it is difficult to see the differences between slice sizes.

Stem and Leaf Plot(Grade 6)

Stem and Leaf Plot

Stem and Leaf Plot

Histograms(Grade 6)



Line Plot(Grade 4 and 5)

Line Plots (dot plot) Example

Graph paper is a good idea for it is crucial that each recorded X be uniform in size and placed exactly across from each other (one-to-one correspondence).Notice the cluster at 17 & 18 as well as the gap at 13 and 22. The mode is 18, the median is the second X from the bottom for number 18, and the mean is 17.68 or 18.

Line Plot for the Number of M&M's™ in a Package

Line plot made from a Tally Chart

There are many more types of Data DisplaysHere are a few - - -

Stacked Vertical Bar Graph Example

Histogram Example(a type of bar graph)

Frequency Polygon Salaries of Acme

Box and Whisker Plot

Box & Whisker Graph Example

Scatter Plot

Scatter Plot

Scatter Plot Example

No CorrelationIf there is absolutely no correlation present, the value given is 0.

Perfect linear correlation:A perfect positive correlation is given the value of 1. A perfect negative correlation is given the value of -1.

Strong linear correlation: The closer the number is to 1 or -1, the stronger the correlation, or the stronger the relationship between the variables.

Weak linear correlation: The closer the number is to 0, the weaker the correlation.

Map GraphCosmograph

Map ChartCosmograph

Map Graph

  • Parts of whole so similar to a pie graph

  • Less numerical and more graphic

Venn Diagram

Venn Diagram

Venn Diagram

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