Mean, Median, Mode, Range Calculator
Please provide numbers separated by commas to calculate.
| Mean | |
| Median | |
| Mode | |
| Range | |
| Sum | |
| Count | |
| Ascending Order |
Mean
The word mean, in its simplest mathematical definition, is the arithmetic mean, also referred to as average. It refers to an intermediate value between a discrete set of numbers, namely, the sum of all values in the data set, divided by the total number of values. For example, for the data set 10, 2, 38, 23, 38, 23, 21, the sum is 155. Divided by the 7 values, the mean is 22.143.
Median
The statistical concept of the median is a value that divides a data sample, population, or probability distribution into two halves. To find the median, the data set must first be sorted in ascending order. If the data set contains an odd number of values, the median is the middle value. If there is an even number of values, the median is the average of the two middle values. For the same data set 2, 10, 21, 23, 23, 38, 38, the median is 23.
Mode
In statistics, the mode is the value in a data set that has the highest number of recurrences. It is possible for a data set to be multimodal, meaning it has more than one mode. For example, in the data set 2, 10, 21, 23, 23, 38, 38, both 23 and 38 appear twice, making them both modes for the data set.
Range
The range of a data set in statistics is the difference between the largest and the smallest values. For the data set 2, 10, 21, 23, 23, 38, 38, the range is 38 - 2 = 36.
FAQs
What is the difference between Mean and Median?
The mean is the average of all numbers, while the median is the middle number of a sorted list. The mean is sensitive to outliers (extremely large or small numbers), whereas the median is not, making it a better measure of central tendency for skewed data.
Can a data set have no mode?
Yes. If all values in a data set appear only once, there is no mode. For example, the data set 1, 2, 3, 4, 5 has no mode.