Mode Calculator
Find the mode of any set of numbers in seconds. Enter your values to see the most frequent number, how often it appears, and a clear step-by-step solution.
Mode Calculator
Enter your numbers below and get your result instantly.
Step-by-Step Solution
What Is the Mode?
The mode is the value that appears most often in a data set. It is one of the three common measures of the center of data, along with the mean and the median.
Unlike the mean and the median, the mode does not require any arithmetic. You only need to count how many times each value appears. This also means the mode works for data that is not strictly numeric, such as the most popular shoe size or the most common test grade.
Our Mode Calculator counts every value for you, finds the highest frequency, and shows each step of the process.
How to Find the Mode
You can find the mode by hand with three simple steps.
1. Write out the values
List all the numbers in your data set. Sorting them from smallest to largest makes counting easier.
2. Count how often each value appears
Go through the list and count how many times each different number occurs. This count is called the frequency.
3. Pick the highest frequency
The value (or values) with the highest frequency is the mode. If every value appears only once, the data set has no mode.
Mode Calculator Examples
Example 1: one mode
Find the mode of these numbers:
Count each value:
The number 5 appears most often, so the mode is 5.
Example 2: two modes
Find the mode of these numbers:
Both 4 and 7 appear 2 times, and no other number appears more often. This data set is bimodal, so the modes are 4 and 7.
Example 3: no mode
Find the mode of these numbers:
Every value appears exactly once, so no value is more frequent than the others. This data set has no mode.
More Mode Calculator Examples
These extra worked examples cover a common homework question, a data set with three modes, a frequency table, and data that is not numeric. In every case, count how often each value appears, and the value with the highest count is the mode.
Example 4: What is the mode of the number set 110, 201, 123, 165, 123, 110, 139, 500?
Answer: this data set has two modes, 110 and 123. It is bimodal.
Count each value: 110 appears 2 times, 123 appears 2 times, and 201, 165, 139 and 500 each appear 1 time. The highest count is 2, and it is shared by 110 and 123, so both are modes.
For comparison, the sorted data is 110, 110, 123, 123, 139, 165, 201, 500. The median is (123 + 139) ÷ 2 = 131, and the mean is 1,471 ÷ 8 = 183.875. The large value 500 pulls the mean up, while the modes stay close to the typical values. You can check the other two measures with our Median Calculator and Average Calculator.
Example 5: A data set with three modes
Find the mode of 1, 1, 2, 2, 3, 3, 4.
Answer: the modes are 1, 2 and 3. Each of these values appears 2 times, while 4 appears only once. When three or more values share the highest frequency, the data set is called multimodal.
Example 6: Mode from a frequency table
A class test gave these results: 3 students scored 70, 7 students scored 80, and 5 students scored 90. What is the mode?
Answer: the mode is 80. In a frequency table the counts are already given, so you only look for the largest frequency. The score 80 has a frequency of 7, which is higher than 3 and 5. Do not confuse the frequency (7) with the mode (80). The mode is the value, not the count.
Example 7: Mode of data that is not numeric
Seven people name their favorite color: red, blue, blue, green, blue, red, yellow. Which color is the mode?
Answer: the mode is blue. Blue appears 3 times, red appears 2 times, and green and yellow appear once each. The mode is the only measure of center that works for categories like this. Our calculator takes numbers only, so count categories by hand, or give each category a number code first.
Common mistakes when finding the mode
A common mistake is to give the largest number instead of the most frequent one. Another is to report only one value when two values tie for the highest count. If no value repeats, the correct answer is that there is no mode. To see the mean, median and mode of the same data in one go, try our Descriptive Statistics Calculator.
Created by Sajid Ali, SmartStatCalc · Last updated: 7 November 2026
Found a mistake or have a suggestion? Contact us.
How to Use Our Mode Calculator
You can get your answer in just a few seconds:
- Type or paste your numbers into the Data Values box.
- Separate the numbers with commas, spaces, or line breaks.
- Click the Calculate Mode button.
- Read the count, the highest frequency, and the mode.
- Use the step-by-step solution to see how often each value appears.
Click Reset at any time to clear your data and start a new calculation.
Mode vs. Mean vs. Median
The mean, median, and mode each describe the center of a data set in a different way.
- Mode: the value that appears most often.
- Median: the middle value after the numbers are sorted.
- Mean: the sum of all values divided by the count.
For the data 2, 3, 3, 3, 10, the mode is 3, the median is 3, and the mean is 4.2. When the three values are close together, the data is fairly balanced. When they are far apart, a few extreme values are probably pulling the mean. You can calculate the other two with our Average Calculator and Median Calculator.
Why Use SmartStatCalc?
SmartStatCalc is built to make everyday statistics quick and easy to understand. Instead of counting values by hand, you can enter your data and see a clear result right away.
Who Can Use a Mode Calculator?
Students can use a mode calculator to check statistics homework, and teachers can use it to see which score appears most often in a class. It is also handy for finding the most common value in everyday data, such as popular sizes, repeated measurements, or frequent ratings.
Frequently Asked Questions
What is the mode in simple words?
The mode is the number that shows up most often in a list.
Can a data set have more than one mode?
Yes. If two or more values share the highest frequency, all of them are modes. Two modes is called bimodal, and more than two is called multimodal.
Can a data set have no mode?
Yes. If every value appears only once, there is no mode.
Do the numbers have to be in order?
No. You can enter the numbers in any order. The calculator counts every value for you.
Can I enter decimal or negative numbers?
Yes. The calculator works with whole numbers, decimals, and negative numbers.
Is the mode the same as the average?
No. The average (mean) comes from adding the values and dividing by the count, while the mode is simply the most frequent value.
Is this Mode Calculator free?
Yes. SmartStatCalc's Mode Calculator is free to use online.
Contact SmartStatCalc
Have a question, suggestion, or feedback about our calculators? We want to make SmartStatCalc more useful, accurate, and easier for everyone to use.
If you spot a mistake or have an idea for another statistics tool, we would be happy to hear from you.
Mode Practice Problems with Answers
Try these problems on your own first, then click a problem to see the answer. You can also check your work with the Mode Calculator above.
Problem 1: Find the mode of these numbers:6, 3, 8, 3, 9, 3, 5
Count how often each value appears: 3 appears 3 times.
3 appears the most, so it is the mode.
Mode = 3
Problem 2: Find the mode of this data set:12, 15, 12, 18, 15, 20, 12, 15
Count how often each value appears: 12 appears 3 times, 15 appears 3 times.
12 and 15 share the highest count, so the data has two modes (it is bimodal).
Modes = 12 and 15
Problem 3: Find the mode of these numbers:4, 7, 9, 11, 14
Every value appears only once.
No mode
Problem 4: Find the mode of these decimal values:2.5, 3.1, 2.5, 4, 3.1, 2.5
Count how often each value appears: 2.5 appears 3 times, 3.1 appears 2 times.
2.5 appears the most, so it is the mode.
Mode = 2.5
Problem 5: Find the mode of these larger numbers:100, 250, 175, 250, 300, 175, 250, 500
Count how often each value appears: 175 appears 2 times, 250 appears 3 times.
250 appears the most, so it is the mode.
Mode = 250
Problem 6: A shop recorded the shoe sizes it sold in one hour. Which size is the mode?7, 8, 8, 9, 7, 8, 10, 8, 9
Count how often each value appears: 7 appears 2 times, 8 appears 4 times, 9 appears 2 times.
8 appears the most, so it is the mode.
Mode = 8
Problem 7: Find the mode of these negative and positive numbers:-3, -1, -3, 0, 2, -1, -3
Count how often each value appears: -3 appears 3 times, -1 appears 2 times.
-3 appears the most, so it is the mode.
Mode = -3
Cite this calculator
If you use this calculator in your work, you can cite it like this:
SmartStatCalc. (2026). Mode Calculator. https://smartstatcalc.com/mode-calculator/