How to Find Mean in Statistics — A Step-by-Step Guide

By Pankaj Kumar|Last Updated: July 12, 2026|

Key Takeaways

Mean is the average of all data points in a sample or population.
Calculate mean by dividing the sum of all values by the count of values.
Grouped data uses frequency and class midpoints to estimate the mean.
Outliers can skew the mean, making median or mode more appropriate.
Excel’s AVERAGE function calculates mean quickly for large data sets.

In this article, we will learn how to find Mean in Statistics. We will also use some easy examples to show you the math. Before that let us have a look at what the Mean is. If you need hands-on support, a statistics tutor can walk you through these concepts one-on-one.

What is Mean in Statistics?

Mean is the average value of a given set of numbers. These numbers either belong to a sample data set or a population. The symbol x̅ represents the mean for a sample data set. The population Mean of a distribution is denoted by μ.

There are many kinds of mean values used as statistical measures. We would be talking about the Arithmetic Mean while referring to ‘Mean.’

Is Mean the Same as Average?

Yes! As mentioned above, the mean is the same as the average. Average has other meanings in the English language, and so does Mean. However, as far as the subject of statistics is concerned, Mean and average are the same.

Average is a term more commonly used in everyday language. It is not uncommon to hear, ‘what is the average stock price?’ On the other hand, Mean is more often used in statistical terminology. Statisticians ask, ‘what is the Mean life expectancy of a particular nation?’

Mean as a Measure of Central Tendency

Mean is one of the measures of the central tendency of a data set, and the other two popular ones are median and mode. Summary statistics and measures of central location are alternate names for measures of central tendency.

A measure of central tendency aims to describe a central position within the data set with a single number. The mean may not fall right in the middle of the data set. Still, it estimates the magnitude of the average of the data points in the sample or population.

Consequently, mean can lead us astray if there are outliers. These extreme values are far removed from a bulk of the data points and can skew the data in one direction. Students preparing for AP Statistics will encounter this concept of skew and outlier impact frequently.

Therefore, the most suitable measure of central tendency to describe the center point of the data set depends on the spread of the data points. In many cases, the median or mode represents the sample or population more accurately.

How to Find Mean in Statistics

Calculating the Mean of a Data Set

As stated above, the mean is nothing but the average of a data set. To calculate the mean of a sample or a population in Statistics, we need to add all the values in the data set and divide by the total number of data points. Understanding probability alongside mean helps build a stronger foundation in data analysis.

Mean = (sum of all the data points / total number of data points)

The data set can have ungrouped or grouped data points. Unlike ungrouped data, we don’t know the exact values of the data points in the sample or the population for grouped data. However, we know the frequency of the data points occurring in the groups or intervals.

Mean (for grouped data) = (f1 * x1 + f2 * x2 + …. + fn * xn) / (f1 + f2 + … + fn) where fi and xi represent the frequency and the mid-point of the class interval respectively.

Sample Problems on Finding the Mean

Example 1

What is the mean of ungrouped sample data set containing 2, 6, 12, 15, and 20?

Sum of all the data points = 2 + 6 + 12 + 15 + 20 = 55

Total number of data points = 5

Mean = 55/5 = 11

Example 2

The time (in minutes) taken by employees of company ABC to finish their lunch is:

Frequency distribution table of the time taken by the employees to finish their lunch:

Time taken (in minutes)	Frequency (f_i)	Midpoint (x_i)	f_i * x_i
1 ≤ t < 10	1	7.5	7.5
10 ≤ t < 15	4	12.5	50
15 ≤ t < 20	4	17.5	70
20 ≤ t < 25	6	22.5	145
25 ≤ t < 30	2	27.5	55
30 ≤ t < 35	3	32.5	97.5
Total	20		425

Mean = 425/20 = 21.25

How to Find Mean from a Histogram

A histogram represents frequency table data drawn as a bar chart. We can use the formulas for calculating the mean for ungrouped or grouped data depending on what the histogram represents. This approach connects naturally to broader topics in preparing for your first statistics exam.

How to Find Mean in Excel

We use the native ‘AVERAGE’ formula to find the mean in Excel. We select AVERAGE from the formula dropdown menu containing formulas or type AVERAGE in the formula bar. Then, we select the cells containing the data.

For example, if we want to calculate the mean for column G, rows two through 25, the formula will be ‘AVERAGE(G2:G25).’ For long data sets, Excel proves very useful to find the Mean in statistics. Students who work with data in RStudio will find similar built-in functions for computing means efficiently.

Refer to the blog posts ‘How to find median‘ and ‘How to find mode‘ in Statistics to learn how to calculate median and mode.

Understanding how means behave across sequences is also explored in this guide on sequences and series vs Calculus 1. For students working with summation-based formulas, the integration techniques and series guide offers useful context. Those studying for broader maths exams may also find the A-level maths exam triage guide helpful. Working with real analysis deepens understanding of why mean formulas are defined the way they are.

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