Frequency Table Examples in Statistics

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Frequency Table.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Statistics.

Concept Recap

A frequency table is a table that records how often each value or category occurs in a data set, organizing raw data into a clear summary with categories in one column and their counts (frequencies) in another.

A frequency table is an organized list that answers 'how many?' for each category. Instead of a messy list of responses, you get a clean summary: Pizza-12, Tacos-8, Burgers-5.

Read the full concept explanation →

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: A frequency table converts a raw list into a compact summary showing how many times each category or value appears.

Common stuck point: Students sometimes leave out categories with zero frequency, which can hide gaps and make totals incorrect.

Sense of Study hint: First, list all possible values or categories in the left column. Then go through each data point and add a tally mark next to its category. Finally, count the tally marks and write the total frequency for each category in the right column.

Worked Examples

Example 1

easy
Students were asked how many siblings they have: 0, 1, 2, 1, 3, 1, 0, 2, 1, 1, 2, 0, 1, 3, 2. Create a frequency table and find the most common number of siblings.

Solution

  1. 1
    Step 1: List distinct values: 0, 1, 2, 3.
  2. 2
    Step 2: Count frequencies: 0 → 3, 1 → 6, 2 → 4, 3 → 2.
  3. 3
    Step 3: The highest frequency is 6, for 1 sibling.

Answer

Frequency table: 0 siblings (3), 1 sibling (6), 2 siblings (4), 3 siblings (2). The most common is 1 sibling.
Frequency tables organise raw data by grouping identical values and counting them. The category with the highest frequency corresponds to the mode.

Example 2

medium
A frequency table shows test scores in intervals: 50–59 (3), 60–69 (7), 70–79 (10), 80–89 (5), 90–99 (2). Find the total number of students and identify the modal class.

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
Dice rolls: 3, 5, 2, 6, 3, 1, 4, 3, 5, 2, 6, 3, 4, 1, 5. Create a frequency table for values 1 through 6.

Example 2

easy
Favourite pets are: Cat, Dog, Dog, Fish, Cat, Dog, Bird, Cat, Fish, Dog, Cat. Create a frequency table and state how many responses were recorded.
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Background Knowledge

These ideas may be useful before you work through the harder examples.

tally chart