# Difference Between Average and Mean

To know the difference between average and mean, you must understand the main point which separates them. There are several points that you need to understand and for a detailed explanation along with examples, keep reading this blog till the end. Here you will find questions to sharpen your question-understanding and solving skills. The questions often come in banking, management, law and government exams like UPSC, CDS, NDA or AFCAT.

## Difference Between Average and Mean

The difference between these two is demonstrated in the given table.

In a nutshell, average is a broader term that can refer to various types of central tendency measures, while mean specifically targets the arithmetic average calculated by summing values and dividing by the count of values.

## Definition of Average and Mean

Average: When we talk about an “average,” we’re talking about a number that tries to show what a group of numbers is like. To find the average, you add up all the numbers in the group and then divide that total by how many numbers there are. This is also called the “arithmetic mean.” Let’s use a simple set of numbers to find the average.

Here, are the set of values i.e. 1, 2, 3, 4, 5.

Average = Sum of all the values/ Total number of values

Average = (1 + 2 + 3 + 4 +5)/5 = 15/5 = 3

Mean: A mean is like the middle number you get when you add up a bunch of numbers and divide by how many there are.

## Average and Mean: Solved Questions

1. What is the mean of 1, 1, 2, 3, 4?

Solution:
Given, 1, 1, 2, 3, 4
Mean = Sum of observation/Total number of observations
= (1 + 1 + 2 + 3 + 4)/5
= 2.2

2. What is the median and mode of 1, 1, 2, 3, 4?

Solution:
Given, 1, 1, 2, 3, 4 is the set of observations.
Median = Middle-most value = 2
Mode = Most repeated value = 1

3. Find the average of the set of numbers 3, 6, 14, 18, 20, 35, 44

Solution: The formula for finding the average is the Sum of the Numbers/Number of Units
Sum of the numbers = 3 + 6 +14 + 18 + 20 + 35 + 44 = 140
Number of units = 7
Therefore, Average = Sum of Numbers/Number of Units
= 140/7
= 20
Hence, the average of the set of numbers is 20.

4. The average of 4 terms is 20 and the 1st term is 1/3 of the remaining terms. What will be the first number?

Solution: Average of 4 terms = 20
Hence, the total sum of 4 terms = 80
Let terms be A,B,C,D
So, the sum will be A+B+C+D =80
Given, 3A = B+C+D
So, 4A = 80,
A = 20

5. For 9 innings, Boman has an average of 75 runs. In the tenth inning, he scores 100 runs, thus increasing his average. His new average is?

Solution: Total score for 9 innings is 75×9 = 675
Total score after 10th innings = 675 + 100 = 775
So, average = 775 / 10 = 77.5

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