Mode Formula: How to Find the Mode + Examples

The mode is the value that appears most often (has the highest frequency) in a data set. A data set can have one mode, two modes (bimodal), more than two, or no mode at all. The mode is a measure of central tendency alongside the mean and median. This short guide is for middle and high school students and parents.

How to Find the Mode + Examples

Mode of Ungrouped Data

For ungrouped data, simply count which value appears most often.

Example: Test scores: 7, 8, 6, 8, 9, 8, 7. The value 8 appears 3 times (the most), while the others appear fewer times. So the mode = 8.

Mode of Grouped Data

For grouped data (a frequency table), use:

Where: L = lower boundary of the modal class (the class with the highest frequency), d₁ = difference in frequency between the modal class and the class before it, d₂ = difference between the modal class and the class after it, c = class width.

Why the Mode Matters

The mode is the only measure of central tendency that can be used for categorical data (such as favourite colour or best-selling shoe size), not just numbers. In the real world, a shoe seller uses the mode to know which size sells best. Complete your understanding with how to calculate the mean and the median.

Other Math Topics

• How to Calculate the Mean
• Median Formula
• How to Calculate Ratios
• The Pythagorean Theorem

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