Mode = the most frequent value. In 3, 7, 3, 9, 7, 3, 12 the mode is 3.
To find the mode, count how many times each value appears and pick the one with the highest count. Unlike the mean, you never add or divide anything, which is why the mode also works for things that aren't numbers, like the most common shoe size sold or the most popular answer in a survey.
How do you find the mode?
1) Sort or tally the values. 2) Count each one. 3) The value with the biggest count is the mode. For 2, 4, 4, 5, 5, 5, 7: the 4 appears twice and the 5 three times, so the mode is 5.
What if two numbers appear the same number of times?
Then there are two modes and the data is called bimodal. For 1, 2, 2, 3, 3, 4 both 2 and 3 appear twice, so the modes are 2 and 3. Three or more modes is multimodal.
What if no number repeats?
Then there is no mode. In 4, 8, 15, 16, 23, 42 every value appears exactly once, so none is "most common". Writing "mode = 0" is a common mistake; the correct answer is that there isn't one.
Does mode mean the same as average?
Mode is one kind of average. When people say "average" without qualifying it they almost always mean the mean (add up, divide by the count). The median is the middle value. All three describe the "typical" value, but they answer slightly different questions.
| For 1, 2, 2, 9 | Value | How |
|---|---|---|
| Mean | 3.5 | (1 + 2 + 2 + 9) ÷ 4 |
| Median | 2 | middle of the sorted list |
| Mode | 2 | appears most often |
When is the mode the best average to use?
When the data is categories (colours, brands, yes/no answers), when you want the most typical single value rather than a mathematical middle (the most common shirt size to stock), or when the data has clear peaks. It is a poor choice for small sets of measurements where nothing repeats.