Mean Calculator

Our math mean calculator allows you to calculate the mean, median, mode, and range for a given set of numbers. This mean median mode calculator works efficiently as the mean generator and gives you fast and accurate results.

What Is The Mean?

“Mean is the measurement of the central tendency that represents the set of numbers.”

It tells which value is common in the data set.

Mean Formula:

The mean is obtained by dividing the sum of all group values by the total number of all values. The mean is the same as the average value of the mean of numbers. The mean calculator formula used to calculate mean is:

$$ \text{Mean} = \overline{x} = \dfrac{Σx_i}{n} $$

Where, 

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

In simple term, the mean equation is also written as:

Mean = sum of all values/total number of values.

• If the distribution is perfectly symmetrical, then the mean and median will have the same value. 
• If the distribution is perfectly symmetrical and has one mode, then the mean, mode, and median values are the same.

How To Calculate The Mean?

Mean is the simplest way to summarize the mean of data or the data set's average. Take a look at the example below for a better understanding of the median finder tool.

Example:

Suppose that a teacher wants to calculate the average test score of his students. The test score is 70, 75, 80, 85, 90, 95. How to find the mean of a data set by using the mean finder maths.

Solution:

Test scores = 70, 75, 80, 85, 90, 95

The formula to use to find the mean in math is:

Mean = sum of all data points/number of all data points.

Sum of all the values = 70+75+80+85+90+95 = 495

Total number of values = 6

Mean = 425/5 = 82.5

So the geometric mean of the given values is 82.5. Our statistics mean calculator with solutions also solves the median, mode, range, and mean, so we identify the given terms from the set of numbers. 

• The median is the middle value of the given mean of data, so the median is 82.5
• Mode is the number that occurs most repeatedly in the set, so no mode is available because nothing is repeated.
• The range is the difference between the lowest and the highest value.

Range = Largest Value - Smallest Value 

Largest number = 95

Smallest number = 70

Range in the set = 95 - 70 = 25

Working of Mean Calculator:

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

Input:

• Enter the values separated by commas or spaces
• Click the “calculate” button 

Output:

Our mean of a table calculator will show you the following results.

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

FAQs:

What Do You Mean By Mean, Mode, And Range?

• Median is the central number of the group of values
• Mode is the number in the set of data that occurs most repeatedly
• Range is the difference between the highest and lowest values from the set of numbers

Is The Mean Same As The Average?

The average is the arithmetic mean of the set of the numbers. The mean is the mathematical average of the set of two or more values. The mean is the same as the average value of the set of data.

References:

From the source Wikipedia: Mean, Types of means, Weighted arithmetic mean.

From the source Khan Academy: mean, median, and mode, mean calculator, calculating the mean, calculating the median, worked example.