LCM Calculator
What is Average?
An average is one of the statistical measures that represents the central tendency of a set of numbers. The most common form of average is the arithmetic mean. It can be calculated by adding all the values and dividing the sum by the total number of values.
Often, the average is referred to as a single number. There are actually three main types:
Types | Definition | Example |
Mean | The sum of values divided by the number of values. | (4 + 5 + 6) ÷ 3 = 5 |
Median | The middle value of the ordered numbers. | For 2, 4, 6 → Median = 4 |
Mode | The number that appears most often. | For 2, 2, 3, 4, 4, 4, 5 → Mode = 4 |
Average Formula:
The mathematical representation of the average is:
Sigma notation means the summation of all data values, n is the total number of values, and x̄ represents the average.
How to Calculate Average?
Follow the steps below to find the average of any number:
- List down all numbers.
- Find the total sum of all the numbers (sum of X).
- Count the numbers (n).
- Divide the sum by the count (n).
Example:
Find the Average of 8, 12, and 20.
Solution:
- List of numbers is: 8,12, 20
- The sum of all numbers is:
8 + 12 + 20 = 40
- Number of values: 3
- Divide the sum by the count.
Average = 40 / 3
So, the average is 13.33.
Example
Calculate the average of the given dataset:
42, 54, 65, 47, 59, 40, 53
Calculation:
Step 1: Input Data;
42,54,65,47,59,40,53
Step 2: Number count (n) is 7.
Step 3: By putting values in the above formula:
Average = 40+42+47+53+54+59+65 / 7
Average = 360 / 7
Average = 51.4286
FAQs
How to find the average of 2 numbers?
To find the average of two numbers, add both numbers together and then divide the result by 2.
For example:
If 10 and 20 are two numbers, then the average of these:
So, the average of 10 and 20 is 15.
How do you find the average of a set of numbers?
To find the average (or mean) of a set of numbers, follow these steps:
- Add all the numbers together to get the total sum.
- Find the total number (n) of the data set.
- Divide the total sum by the count of numbers.
What is the difference between average and median?
- The average (mean) is calculated by dividing the total sum of all numbers by the count of numbers.
The median, on the other hand, is the middle value when all numbers are arranged in order.
