Mode in Math: Definition, Examples & How to Find It

Definitionnoun

What is the mode in math?

The mode is the value that appears most often in a data set. To find it, count how many times each value occurs and pick the most frequent one. A data set can have one mode, more than one mode, or no mode at all when every value appears only once. The mode works for categories, too.

In Spanish: moda
Also called: most common value, most frequent value, modal value
Grade level: 6-8

Grade 5Grade 6Grade 7Grade 8CCSS 6.SP.A.3CCSS 6.SP.B.5.cGEDSATACT

Mode in a picture

On a dot plot the mode is the tallest stack. Here size 8 appears 4 times, more than any other size. A list can also have two modes, or none at all.

Formal definition and notation

The frequency of a value is the number of times it occurs in a data set. The mode is the value, or values, with the greatest frequency. If two values tie for the greatest frequency the data are bimodal; if more than two tie, the data are multimodal. If every value occurs exactly once, there is no mode. The mode is a measure of center, and it is the only one that also works for categorical data such as favorite colors.

Symbol	Read it as	Meaning
f	f	the frequency of a value: how many times it appears
Mo	mode	a short label for the mode used in some textbooks and tables
MODE	mode	the spreadsheet function that returns the most frequent number in a list

Key facts

The mode is always one of the data values, unlike the mean or the median, which can be numbers that are not in the list.
Sort the data or make a tally first: repeated values sit next to each other, so the biggest group is easy to spot.
One mode: unimodal. Two modes: bimodal, as in 1, 1, 4, 6, 6. Every value once: no mode.
The mode is the only measure of center for words and categories: if 12 students pick soccer, 7 pick tennis and 5 pick golf, the mode is soccer.
An outlier does not change the mode unless the outlier itself is the most frequent value.

How to find the mode

mode = the value with the greatest frequency f

value: a number or category in the data set
f: the number of times that value appears (count repeats)

There is no arithmetic to do: sort the data or make a tally, then look for the biggest count. If the biggest count is 1, there is no mode. If two values share the biggest count, report both.

Try it: find the most frequent value

Interactive

Edit the numbers or drag a dot onto another stack. Make two stacks equally tall to get two modes, or make every value different to get no mode.

This interactive needs JavaScript. The worked examples below show the same ideas step by step.

Mode examples, step by step

Example 1: One mode

Warm-up

Find the mode of 5, 8, 3, 8, 6, 8, 2, 5.

Sort the values so repeats sit together: 2, 3, 5, 5, 6, 8, 8, 8.
Count each value: 2 once, 3 once, 5 twice, 6 once, 8 three times.
The greatest count is 3, and it belongs to 8.

Answer: The mode is 8, because it appears three times.

Example 2: A tie gives two modes

Core

Ten students scored 7, 9, 10, 7, 8, 9, 6, 10, 9 and 7 on a 10-point quiz. Find the mode.

Make a tally: 6 once, 7 three times, 8 once, 9 three times, 10 twice.
The greatest count is 3.
Two scores have that count: 7 and 9. Both are modes.

Answer: The modes are 7 and 9, so the scores are bimodal.

Example 3: Reading the mode from a frequency table

Test-style

A survey asked 25 households how many pets they have. 6 households have 0 pets, 9 have 1 pet, 7 have 2 pets and 3 have 3 pets. What is the mode of the number of pets?

Here the data values are the numbers of pets: 0, 1, 2 and 3.
The counts 6, 9, 7 and 3 are frequencies: how many households gave each answer.
The greatest frequency is 9, and it belongs to the value 1 pet.
Trap: 9 is not the mode. It is how often the mode appears.

Answer: The mode is 1 pet (9 of the 25 households gave that answer).

Common mistakes

✗ MistakeFor 1, 4, 6, 6, 9, 9, 9, saying the mode is 6 because 6 is in the middle.

✓ Instead9 appears three times, more than any other value, so the mode is 9. The middle value, 6, is the median.

Do not confuse mode with median. Mode is most frequent; median is middle.

✗ MistakeIn a frequency table where 1 pet has a frequency of 9, answering that the mode is 9.

✓ InsteadThe mode is the value with the biggest frequency: 1 pet.

The frequency tells how often a value appears. The mode is the value itself.

✗ MistakeFor 3, 5, 8, 10, writing that the mode is 0.

✓ InsteadEvery value appears once, so the data set has no mode.

0 is a number that could be in a data set. Writing 0 claims that 0 appears most often, which is false here.

✗ MistakeFor 2, 2, 5, 7, 7, giving only the mode 2.

✓ Instead2 and 7 both appear twice, so the modes are 2 and 7.

When values tie for the greatest count, every one of them is a mode.

Not to be confused with

Modevs.Median

The median is the middle value of the ordered data; the mode is the most frequent value. For 2, 3, 3, 8, 9, 10 the mode is 3 but the median is 5.5.

Modevs.Mean

The mean adds the values and divides by the count, so it can be a number that is not in the data. For 4, 4, 10 the mode is 4 and the mean is 6.

Modevs.Range

The range measures spread (greatest minus least), not center. For 4, 4, 10 the range is 6 and the mode is 4.

Quick check: 3 questions

Question 1 of 3

What is the mode of 4, 7, 2, 7, 9, 4, 7, 1?

Show answer and explanation

Answer: C. 7 appears three times, more than any other value, so the mode is 7. Choice A, 4, repeats but only twice; 3 is how many times 7 appears, not the mode; 5.5 is the median.

Question 2 of 3

Which data set has no mode?

Show answer and explanation

Answer: A. In 2, 4, 6, 8, 10 every value appears once, so there is no mode. 1, 1, 2, 3 has mode 1; 5, 5, 6, 6 has two modes, 5 and 6; and 0, 3, 3, 7 has mode 3 (the 0 is just a data value).

Question 3 of 3

In a class vote, 8 students chose pizza, 5 chose tacos, 8 chose burgers and 4 chose salad. What is the mode?

Show answer and explanation

Answer: C. Pizza and burgers tie with 8 votes each, the most of any food, so both are modes. Choice A misses the tie, 8 is the frequency rather than a food, and tacos is just a middle count.

Mode: frequently asked questions

Can a data set have more than one mode?

Yes. If two or more values tie for the greatest number of appearances, each one is a mode. A set with two modes, such as 1, 1, 4, 6, 6, is called bimodal, and a set with more than two is multimodal. Always list every tied value, not just the first one you find.

Is no mode the same as a mode of 0?

No. No mode means no value appears more often than the others, as in 3, 5, 8, 10, where each value appears once. A mode of 0 means the number 0 appears most often, as in 0, 0, 0, 2, 5. On a test, write no mode (or none), never 0, unless 0 is really the most frequent value.

When is the mode the best measure of center?

Use the mode for categories, such as favorite sports or shirt sizes, where you cannot add or order the answers, so the mean and median do not exist. It also helps when you want the most typical single choice, like the shoe size a store should stock most. For numbers spread out with few repeats, the median or mean is usually more informative.

Practice and tools

Mean, median, mode and range lessonPractice on Effortless Math Descriptive Statistics CalculatorMean, median, mode and range of your own data Stem-and-Leaf Plot MakerRepeated leaves make the mode easy to see

Sources

Updated November 2026·Reviewed by the Effortless Math team·Standards: CCSS 6.SP.A.3, CCSS 6.SP.B.5.c

Cite this entry

Effortless Math Team. “Mode.” Effortless Math Dictionary. Updated November 2026. https://www.effortlessmath.com/math-dictionary/mode/

Flashcard

TermModethe most frequent value

DefinitionThe value that appears most often in a data set. In 2, 3, 3, 5 the mode is 3. A set can have two modes or none.

Study the full deck

Browse all terms in the Math Dictionary · More statistics terms · Random term

NumberA number is an amount or value used to count, measure, order and compare. We write numbers with digits (7), words (seven) or other symbols, but the number itself is the amount: 7 dots, the word seven and the numeral 7 all show the same number. Numbers include whole numbers, fractions, decimals and negatives.Number System · Kindergarten, Grade 1, Grade 2DataData are facts or values collected to answer a question, such as survey answers, measurements or counts. Numerical data are numbers you measure or count, like heights; categorical data are labels or groups, like favorite colors. Data are organized in tables and shown in graphs so patterns are easy to see.Statistics · Grade 2, Grade 3, Grade 6Categorical DataCategorical data are data that sort people or things into groups, or categories, such as eye color, favorite sport or a yes/no answer. The values are labels, not measurements, so you count how many fall in each category and show the counts with a bar graph, a pie chart or a two-way table.Statistics · Grade 6, Grade 8, Algebra 1MeanThe mean is the sum of the values divided by the number of values. It is the arithmetic average: add every value and divide by how many there are. For 3, 7, 5 and 9, the mean is 24 ÷ 4 = 6. The mean is the balance point of the data, so one outlier can pull it far.Statistics · Grade 5, Grade 6, Grade 7MedianThe median is the middle value when data are listed in order. If there is an even number of values, the median is the average of the two middle values. Half the data lie at or below the median and half at or above it, and outliers barely move it.Statistics · Grade 5, Grade 6, Grade 7OutlierAn outlier is a data value that is far away from most of the other values in a set. In 4, 5, 6, 7, 50, the value 50 is an outlier. A common test flags any value more than 1.5 times the interquartile range below the first quartile or above the third. Outliers pull the mean strongly.Statistics · Grade 6, Grade 7, Grade 8RangeThe range of a data set is the difference between the greatest and least values: maximum minus minimum. For 2, 5, 9, the range is 9 − 2 = 7. Range is a simple measure of spread: it tells how far apart the extreme values are, though one outlier can make it misleading about the rest of the data.Statistics · Grade 5, Grade 6, Grade 7Line PlotA line plot shows data values along a number line, often with marks above each value. Each X or dot stands for one data value, and repeated values stack in a column, so the tallest stack is the mode. Line plots make it easy to see clusters, gaps, outliers and the spread of a small data set.Statistics · Grade 3, Grade 4, Grade 5Bar GraphA bar graph uses bars to compare amounts in different categories. The taller or longer the bar, the larger the value it represents. Each bar stands for one category, such as a favorite sport, and its length is read against a number scale. Bars can be vertical or horizontal, with gaps between them.Statistics · Grade 3, Grade 4, Grade 5HistogramA histogram uses bars to show how numerical data are grouped into intervals. The data are split into equal-width intervals, called bins, and each bar’s height is the count of values in that interval. The bars touch, because the intervals are continuous, which is what distinguishes a histogram from a bar graph.Statistics · Grade 6, Grade 7, Grade 8StatisticsStatistics is the branch of math that collects, organizes, analyzes and interprets data to answer questions. Descriptive statistics summarize data with graphs and numbers such as the mean and median. Inferential statistics use a sample to draw conclusions about a whole population, with a stated amount of uncertainty.Statistics · Grade 6, Grade 7, Grade 8

Mode

What is the mode in math?

Mode in a picture

Formal definition and notation

Key facts

How to find the mode

Try it: find the most frequent value

Mode examples, step by step

Example 1: One mode

Example 2: A tie gives two modes

Example 3: Reading the mode from a frequency table

Common mistakes

Not to be confused with

Quick check: 3 questions

Mode: frequently asked questions

Can a data set have more than one mode?

Is no mode the same as a mode of 0?

When is the mode the best measure of center?

Related terms

Practice and tools

Sources

Flashcard

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