Mean Median Mode Calculator

By utilizing the mean median mode calculator, you can get instant calculations for mean, median, and mode along with the minimum, maximum, quartiles, range, count, and sum.

Get to know the central tendency of any data by separating them with commas and the mean finder shows you step-by-step calculations to clarify the complete procedure of calculations.

What Are Mean, Median, and Mode?

In statistics, Mean Median and Mode are the different three measures to summarise the common data set. The mean calculator statistics with solutions solve the mean, middle, and most frequent data values, as well as range, count, sum, and minimum and maximum values.

So, learn more about the data for statistical measurement and when each should be used.

“Mean is also known as average that measures the central tendency to represent the set of numbers”.

“The median is the central value in the data set when the given values are arranged from least to greater”. 

“Mode is the value that is most repeated in the data set”.

How to Find Mean?

The mean is obtained by dividing the sum of all group values by the total number of all values.

Mean Formula:

Where, 

• Σx_i is the addition of all data values 
• n is the total number of value

Mean Example:

Data = 65, 70, 75, 80, 85, 90, 95

Sum = 65 + 70 + 75 + 80 + 85 + 90 + 95 = 560

Total number of values = 7

Mean = 560/7 = 80

How To Find the Median?

The median is the average of two numbers. Hense, the mean median and mode calculator works efficiently as the mean generator and gives you fast and accurate results. To calculate the median of a data set, follow these simple steps:

• Arrange the data set from least to greatest
• If the data set has an odd number of terms, the median is the middle value
• If the data set has an even number, the median is the average of 2 middle values.

Median Formula:

For Odd Numbers:

For Even Number:

Median Example:

The median is the middle value in a data set when the values are arranged in order from least to greatest.

• Odd data set = 1, 3, 5, 7, 9

In this case, 5 is the median 

• Even data set = 2, 4, 6, 8, 10, 12

= 6 + 8 / 2

= 14 / 2 

= 7

How to Find the Mode?

The most frequently occurring values in the set of data are known as a mode. If two or more terms appear the same number of times, the data values has multiple modes. 

To calculate the most frequent values for a given data set, follow the below steps:

• Arrange the data set from least to greatest
• Determine how often each value occurs in the data set
• Find the value that appears the most often

Mode Formula:

Mode Example:

Data = 2, 3, 4, 4, 5, 5, 5, 6, 6, 7

In the given data set, 5 is used most frequently. 

Outliers:

The values that lie outside of the overall pattern of the data set. In other words, we can say that these often lie above the upper fence or below the lower fence, and these have a significant impact on the measure of central tendency. 

• Upper Fence = Q3 + 1.5 × Interquartile Range
• Lower Fence = Q1 − 1.5 × Interquartile Range

Steps To Use This Calculator:

You can easily calculate the results by entering the data in the designated fields of the mean calculator. To get started, simply follow these steps.

Input Your Numbers:

• Put the values separated by commas or spaces

Results Summary:

The mean solver evaluates the final results in the form of the below points:

• Mean, Median, Mode, and Range 
• Minimum & maximum number
• Count & Sum of the number 
• Quartiles & Outliers of a given data set 
• Ascending & Descending Order 
• Even & odd numbers

References:

Wikipedia: Mean, Types of means, Weighted arithmetic mean.

Khan Academy: mean, median, and mode, calculating the mean, count, or sum, calculating the median, worked example.