= = =

## Formula for calculating the average

Below we have mentioned the formula for calculating an average from number or notes with weighting (coefficient).

(Sum of all subsequent calculations (number coefficient )) divided by (Total Coefficients) = Weighted Average

### Calculation example:

You have a total of four following marks: 50,60,70,80 which respectively have the following coefficients: 3,4,2,1.

### What is the result of the weighted average?

(50×3 + 60×4 + 70×2 + 80×1) / (3 + 4 + 2 + 1)
(150 + 240 + 140 + 80) / (10)
(610) / (10) = 61

In this case, the average is 61, on a total of co-efficient of 10.

Cumulative grade point average is used by its abbreviation GPA. This constitutes the calculation of the weighted average (WA) on all courses of the same level followed by the student. Unlike the quarterly weighted average is the same calculation but limited to the quarter.

All the high schools, colleges and universities use this scoring method.

Notes in letters (A, A-, B +, B, and ..), R score or other type of grades are then assigned on scales varying from one school to another.

### Scoring system

In general there are many methods of scoring in schools such as: Overall average, R score, Z score, average CRC (cote de rendement au collégial (weighted average of R-scores)).

## What is the coefficient?

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. Here, our calculator can simplify the calculation of its factors.

Also, suppose in the event where all the coefficients are equal, the calculation is simply named an average and not a “weighted average”.

It is the number multiplied by a variable.

### Examples of coefficients:

In the term 14c, the coefficient is 14.

In the term g, the coefficient is 1.

### Practice

What is the coefficient of the term 9z in the expression 8+9z?

Answer: – Here 9 is the coefficient.

Why?

Since 9 is the number multiplied by the variable Z, 9 is the coefficient.

## Coefficient of a Term

A coefficient is the numerical factor of a term containing constant and variables.

• In the term 6xy, 6 is the coefficient.
• -7 is the coefficient of the term –7xy2.
• When there is no numerical factor in a term, its coefficient is taken as +1. For example, in the term a2b3, the coefficient is +1.
• In the term –a, the coefficient is -1.