These all are important topics in statistics. Mean, mode and median are easy to find out using their formulas.

Mean

Mathematics specializes in many different types of means, especially statistics. The arithmetic mean, also called the arithmetic average, is the central value of a finite set of numbers: specifically, it is the sum of the values divided by the number of values.

Formula

Mean = Sum of the observations/Number of observations

How to Calculate the Mean?

The mean can be calculated by adding up the scores and dividing the total by the number of scores.

You can calculate mean in the following manner:

4 + 2 + 6 + 7 + 8 + 9 = 36.

36 / 6 = 6

The mean (average) is 6.

Median

According to statistics and probability, the Median is the value that separates the highest and lowest halves of a sample, population, or probability distribution. The median can be thought of as the “middle” value of a data set. These topics are explained in a detailed way in online math classes at Cuemath.

Formula

Median = {(n + 1) ÷ 2}th term

How to Calculate Median?

Example: 3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29

Solution: When we put these numbers in ascending order we have:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56

There are fifteen numbers. Our middle is the eighth number:

2, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56

The median value of this is 23.

Mode

Depending on the set of data, the Mode value may be the most frequent, the most frequent or none at all. Other common measures of central tendency include the mean, or the average, and the median, the middle value.

Formula

Mode = L+h(fm−f1)(fm−f1)−(fm−f2).

How to Calculate Mode?

Example: Find the mode of the given data set: 3, 3, 6, 9, 15, 3, 3, 27, 27, 37,37.

Solution: In the following list of numbers,

3, 3, 6, 9, 15, 3 , 3 , 27, 27, 37, 37

3 is the mode since it appears more times in the set compared to other numbers.

Difference Between Mean, Median, Mode?

Mean | Median | Mode |

It is called mean when taken as the average of a set of observations. | One definition of median is that it represents the middle number in a set of observations. | An observation’s mode can be thought of as the most often occurring number. |

The total number of terms is calculated by adding up all the numbers and dividing by the total number of terms. | In ascending or descending order, arrange all the numbers. | Numbers in a series are given a mode if they occur frequently. |

What we get at the end of the previous step is the mean. | Take the middle number out of the mix, which represents your median, after ordering everything from smallest to biggest. | Various modes are possible, and one can have more than one, and one may also have no mode at all. |

Depending on the format, mean can be computed as arithmetic median or as a simple average. | There is no median when there are even numbers in a series, or when the data set is unique, where the simple average of a middle couple of numbers is the median. | It is impossible to compute a mode when there is a single, unique set of data. |

Generally, the mean is preferred when data is normally distributed. | It is best to use the median when the distribution of data is skewed. | Ideally, it is preferred to use the mode for nominal distributions of data. |

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