Mean Formula
The formula to calculate the mean is:
Mean (x̅) = Sum of Values / Number of Values
If x1, x2, x3,……, xn are the values of a data set then the mean is calculated as:
x̅ = (x1 + x2 + x3 + . . . + xn) / n
Example: Find the mean of data sets 10, 30, 40, 20, and 50.
Solution:
Mean of the data 10, 30, 40, 20, 50 is
Mean = (sum of all values) / (number of values)
Mean = (10 + 30 + 40 + 20+ 50) / 5 = 30
Mean of Grouped Data
Mean for the grouped data can be calculated by using various methods. The most common methods used are discussed in the table below:
Direct Method | Assumed Mean Method | Step Deviation Method |
---|---|---|
x̅ = ∑ fixi / ∑ fi Where, |
x̅ = a + ∑ fixi / ∑ fi Where, |
x̅ = a + h∑ fixi / ∑ fi Where, |
Read More about Mean, Median and Mode of Grouped Data.
Mean, Median and Mode
Mean, Median, and Mode are measures of the central tendency. These values are used to define the various parameters of the given data set. The measure of central tendency (Mean, Median, and Mode) gives useful insights about the data studied, these are used to study any type of data such as the average salary of employees in an organization, the median age of any class, the number of people who plays cricket in a sports club, etc.
Let’s learn more about the Mean, Median, and Mode Formulas, Examples, and FAQs in this article.
Table of Content
- Measures of Central Tendency
- What are Mean, Median, and Mode?
- What is Mean?
- What is Median?
- What is Mode?
- Symbol of Mode
- Relation between Mean Median Mode
- What is Range?
- Differences between Mean, Median and Mode
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