Video lessons, examples and solutions covering 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.
### Range

Statistics - Mean, Median, Mode and Range

These are ways to measure the Central Tendency

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** 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.

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.

These are ways to measure the Central Tendency

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

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