Solved Examples on Average & Mean
Example 1. Calculate the mean of given terms: 5, 28, 30, 8, 2, 10.
Solution:
Mean = (5 + 28 + 30 + 8 + 2 + 10)/6
⇒ Mean = 63/6 = 13.83
Example 2. Calculate the average of given terms: 10, 20, 30, 40.
Solution:
Sum of all the terms = 10 + 20 + 30 + 40
Sum of all the terms = 100
Total number of terms = 4
Average = (Sum of all the terms) / ( Total number of terms )
= 100/4
=25
Example 3. Calculate the mean of given terms: 10, 20, 30, 40, 50
Solution:
Smallest number of given terms is 10 and largest number in the given terms is 50.
Note here that the terms are in Arithmetic Progression, hence we will use the following formula:
Mean = (smallest term + greatest term )/2
= ( 10 + 50 ) /2
= 30
Note: The result from the above formula and conventional formula will be same.
Example 4. Calculate the average of given terms: 5, 2, 3, 7, 9, 4
Solution:
Sum of all the terms = 5 + 2 + 3 + 7 + 9 + 3
Sum of all the terms = 29
Total number of terms = 6
Average = (Sum of all the terms) / ( Total number of terms )
= 29/6
Example 5. Calculate the mean of given terms: 5, 8, 3, 7, 2, 1.
Solution:
Mean = (5 + 8 + 3 + 7 + 2 + 1)/6
= ( 26 ) /6
= 4.33
Difference between Average and Mean
Average and Mean, both have their significance in mathematics. Average and mean are considered to be similar but they have different meanings associated with them. There are different situations in our day-to-day lives, where we use the terms ‘mean’ and ‘average’ interchangeably. We use the word “Average” for any situation where we have to give a lump sum or approximate idea of a value. However, the word “Mean” is specifically used in the context of data in statistics. Both Average and Mean can be calculated by taking the sum of the given data and then dividing it by the total number of data.
In this article, we will explain both the terms mean and average and the difference between mean and average followed by solved problems on mean and average. At the end of the article, we will have some practice problems and FAQs related to mean and average.
Table of Content
- What is Average?
- What is Mean?
- Is Average and Mean the Same?
- Average vs Mean
- Solved Examples on Average & Mean
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