Frequency charts

key notes :

Definition:

A frequency chart is a way to organize and display data to show how often something occurs. It helps in summarizing large sets of data clearly and efficiently.

Columns of a Frequency Chart:

A typical frequency chart includes:

  • Data Categories: The different items or groups you are counting.
  • Tally Marks: A way to record the count visually using marks (four vertical lines and a fifth line through them for a group of five).
  • Frequency: The number of times each category appears.

Steps to Create a Frequency Chart:

  • Step 1: List all categories you want to count.
  • Step 2: Count how many times each category occurs.
  • Step 3: Record the tally marks for each category.
  • Step 4: Write the frequency (total count) for each category next to the tally marks.

Example:

If students in a class are asked about their favorite fruit, the data might look like this:

  • Apples: |||| (4)
  • Bananas: |||||| (6)
  • Oranges: |||| (4) The frequency for Bananas is 6, Apples is 4, and Oranges is 4.

Purpose: Frequency charts help in:

  • Analyzing data easily.
  • Comparing different categories.
  • Identifying trends (which category occurs most or least often).

Using Frequency Charts for Graphs:

The data from a frequency chart can be used to create bar graphs, histograms, or pictographs for a visual representation.

Learn with an example

👉 A maths textbook explains probability by showing a set of cards numbered 4 through 9 and showing the number of people who might draw each card.

How many people drew a number less than 6?

Find the rows for 4 and 5. Add the frequencies for these rows.

Add:

15 + 10 = 25

25 people drew a number less than 6.

👉 To determine whether people make fewer trips to the films when the economy is bad, a reporter asked people how many films they saw last month.

How many people went to the films more than 2 times?

Find the rows for 3, 4, 5, and 6 times. Add the frequencies for these rows.

Add:

6 + 16 + 18 + 19 = 59

59 people went to the films more than 2 times.

👉 While compiling photos for an album, Arianna noted the number of photographs taken by each of her friends and family.

How many people took at least 1 photograph?

Find the rows for 1, 2, and 3 photographs. Add the frequencies for these rows.

Add:

13 + 10 + 3 = 26

26 people took at least 1 photograph.

Let’s practice!🖊️