Mode Calculator

A mode calculator identifies the value that appears most frequently in a set of numbers. It counts how often each number occurs and returns the one with the highest frequency, making it easy to find the most common value in the dataset.

How to calculate the mode:

The mode of a dataset is the value that occurs most frequently.

Step-by-Step Method

• List all values in the dataset.
• Count how many times each value appears.
• Identify the value with the highest frequency.
• That value is the mode.

Formula Representation

Let the dataset be:

$$x_1, x_2, x_3, ..., x_n$$

Define the frequency as:

$$f(x_i) = \text{number of times } x_i \text{ appears in the dataset}$$

Then the mode is:

$$\text{Mode} = \underset{x_i}{\arg\max} \, f(x_i)$$

Examples

Numbers: 5, 2, 5, 6, 7

Frequency:

• 2 → 1 time
• 5 → 2 times
• 6 → 1 time
• 7 → 1 time

Mode = 5 (it appears most frequently)

Numbers: 1, 2, 2, 3, 3, 4, 4, 5

Frequency:

• 1 → 1 time
• 2 → 2 times
• 3 → 2 time
• 4 → 2 time
• 5 → 1 time

Mode = 2 (it is the smallest of numbers which appears most frequently)

Key features include:

• Input fields for entering multiple numbers (up to 50 values)
• Automatic calculation of the mode
• Flexible list management - add or delete any number at any position
• Support for decimal numbers and negative values
• Dynamic recalculation as values change