In mathematics and statistics, finding the 'Average' (also officially known as the Mean) is a way to find a single central number that accurately represents a whole massive group of different numbers.
The universal formula for calculating the Average is: Average = (Sum of all Observations) ÷ (Total Number of Observations)
Master Formula: Average = Sum of Items / Number of Items.
Statistical Name: The mathematical average is officially called the 'Arithmetic Mean'.
Usage: Used to find the central tendency or 'typical value' of a data set.
Rule: The average will always be a number strictly between the lowest and highest values in your list.
Finding the average is a very simple two-step mathematical process: Step 1: Add up absolutely every single number in your list to get a massive Total Sum. Step 2: Count exactly how many numbers you have in your list, and divide your Total Sum by that count.
Imagine a student takes 5 different exams and scores the following marks: 70, 85, 90, 65, and 80. What is his average score?
Step 1 (Find the Sum): 70 + 85 + 90 + 65 + 80 = 390
Step 2 (Divide by the Count): There are exactly 5 exams. Therefore, divide the sum by 5. 390 ÷ 5 = 78
The student's average score across all subjects is 78 marks.
Averages are used everywhere in daily life to smooth out chaotic data. A cricket player might score 100 runs one day and 0 runs the next day. By calculating his 'Batting Average', selectors can figure out roughly how many runs they can realistically expect him to score in a normal match.
The formula is to add all the numbers together to find the Sum, and then divide that sum by the total quantity of numbers you added.
Step 1: 10+20+30 = 60. Step 2: Since there are 3 numbers, divide 60 by 3. The average is 20.
Yes. In basic mathematics, the word 'Average' and the 'Arithmetic Mean' mean the exact same thing and use the exact same formula.
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