Still aren't sure what the difference is between the three? Watch the video or read the mean, median and mode definitions below for a full. Example: The median of 4, 1, and 7 is 4 because when the numbers are put in order (1, 4, 7), the number 4 is in the middle. Mode: The most frequent number—that is, the number that occurs the highest number of times. This free calculator determines the mean, median, mode, and range of a given data set. Learn more about the advantages and disadvantages of each of these.


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The statistical median is the middle number in a sequence of numbers. To find the median, organize each number in order by size; the number in the middle is the median.

BBC Bitesize - How to find the mean, median, mode and range

For the five servers in the rack, arrange the power consumption figures from lowest to highest: The median power consumption of mode mean median rack is W. If there is an even set of numbers, average the two middle numbers. Find the median by averaging the two middle numbers: Mode The mode is the number that occurs most often within a set of numbers.

For the server power consumption examples above, there is no mode because each element is different.


The mode is 98 W since that power consumption measurement occurs most often amongst the 12 servers. Mode helps identify the most common or frequent occurrence of a characteristic.

It is possible to have two modes bimodalthree modes trimodal or more modes within larger sets of numbers. Range The range is the difference between the highest mode mean median lowest values within a set of numbers.

To calculate range, subtract the smallest number from the largest number in the set. Mode mean median In statistics, the mean is the average of a set of data.

Essentially, they are the same thing.

Mean, Median, Mode, Range Calculator

To find the mean, sum all the numbers and then divide by the number of items in the set. For example, to find the mean of the following set of numbers: There are 9 numbers, so: To find the mode mean median, order the numbers lowest to highest and see which number appears mode mean median most often.

The mean is the total of the numbers divided by how many numbers there are.

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If however the store simply used an mode mean median and sold 8 bags of each, it could potentially lose 4 sales if a customer desired only XOCHiTL chips and not any other brand.

As is evident from this example, it is important to take all manners of statistical values into account when attempting to draw conclusions about any data sample.

Mean Median Mode

Range The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within mode mean median areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.

Using the same example: Similarly to the mean, range can be significantly affected by extremely large or small values. Using the same example as previously: