Mean, Median, Mode Calculator

This calculator allows you to quickly determine the mean, median, and mode of a set of numbers. Below are explanations and formulas for each of these statistical measures, along with examples to help you understand them better.

Mean

The mean, commonly known as the average, is calculated by adding up all the numbers in a data set and then dividing by the total number of items in that set.

Formula:

Mean = (Σx) / n

Where:

• Σx is the sum of all numbers in the data set.
• n is the number of items in the data set.

Example:

For the set of numbers {4, 8, 6, 5, 9},
Mean = (4 + 8 + 6 + 5 + 9) / 5 = 32 / 5 = 6.4

Median

The median is the middle number of a data set when the numbers are arranged in ascending (or descending) order. If there's an odd number of items, the median is the middle one. If there's an even number of items, the median is the average of the two middle numbers.

Example:

For the set of numbers {4, 8, 6, 5, 9}, when arranged in ascending order {4, 5, 6, 8, 9},
Median = 6 (because 6 is the middle number).

For the set {4, 8, 6, 5, 9, 10}, when arranged in ascending order {4, 5, 6, 8, 9, 10},
Median = (6 + 8) / 2 = 7 (because there are two middle numbers, 6 and 8).

Mode

The mode is the number(s) that appear most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all.

Example:

For the set of numbers {4, 8, 6, 4, 9},
Mode = 4 (because 4 appears twice, more than any other number).

For the set {4, 8, 6, 5, 9},
There is no mode (because all numbers appear only once).