#### Transcript of [MDM4U]2.1 Data Analysis with Graphs

Frequency Table

1. Bar Graph

Types of Frequency Table

**Data Analysis with Graphs**

(a) Bar graph

(a) Frequency Table

This frequency table counts the number of occurrence of each category and record it on the table.

Example of Frequency Table

Various Types of Graphs

Graphing Categorical Data

(a) Pie Chart

- Table containing 'frequency' or number of occurrences of a category from a set of data

Q: What Do We Need?

A: Frequency Table

(b) Histogram

Similarities

- used to graph with frequency table (numeric data)

- consist of series of bars with common width and heights proportional to frequency

Difference

- Bar graph used in data with categorical or discrete numeric independent variable

- Histogram used in data with continuous numeric independent variable

(a) Bar Graph

(b) Histogram

What is graph?

- Graphical representation of data

- Provides at-a-glance view of data

- Category can be description or numbers. This is called 'categorical variable' or 'numeric variable', respectively.

- Numeric variable can be continuous

or discrete and you can choose either kind depending on the needs of your analysis.

How to construct a Frequency Table from a given set of data?

Step 1 Examine the data and determine the category

Step 2 Go through the data and count the frequency of each category.

Step 3 Record the numbers in the table. DONE!

Vertical Axis

= Dependent Variable

Horizontal Axis

= Independent Variable

= Categorical Variable

Vertical Axis

=Dependent Variable

Horizontal Axis

= Independent Variable

= Continuous Numeric Variable

Notice the bars are connected (there is no gap between the bars), representing the fact the independent variable is continuous numeric values.

(b) Cumulative Frequency

This can be constructed from frequency table by adding all previous frequency numbers.

(c) Relative Frequency

This table shows the frequency of a data group as a fraction or percent of the whole data set.

Given the class' scores obtained on a test

78 81 55 60 65 86 44 90 77 71 62 39 80 72 70 64 88 73 61 70 75 96 51 73 59 68 65 81 78 67

Note: Category is grouped into 'classes' or 'intervals' to make the graph easier to construct and interpret.

(b) Pictograph

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