Math Statistics: Mode, Median, Mean and Range

In statistics, mode, median, mean and range are typical values to represent a pool of numerical observations. They are calculated from the pool of observations.

Mode is the most common value among the given observations. For example, a person who sells ice creams might want to know which flavor is the most popular.

Median is the middle value, dividing the number of data into 2 halves. In other words, 50% of the observations is below the median and 50% of the observations is above the median.

Mean is the average of all the values. For example, a teacher may want to know the average marks of a test in his class.

Range tells how far apart the greatest and least numbers in a set are. It is the difference between the largest and smallest numbers.

Range

The range of a set of numbers is the difference between the least number and the greatest number in the set.

Example:

Find the range:

a) 150, 250, 825, 400, 18, 500

b) 2.2, 1.8, 5.1, 0.3

Solution:

a) The largest value is 825. The smallest value is 18

Range = largest value − smallest value = 825 − 18 = 807

b) The largest value is 5.1. The smallest value is 0.3

Range = largest value − smallest value = 5.1 − 0.3 = 4.8

Finding the range and mid-range
The range is the difference between the largest and smallest numbers. The midrange is the average of the largest and smallest number. Practice with this problem.

Statistics - Mean, Median, Mode and Range
These are ways to measure the Central Tendency

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.