for instance
Your quiz score is 80, and your final exam score is 90. If the teacher wants to calculate the overall average score, calculate it according to the ratio of 40% of the quiz and 60% of the final grade, then your average score is:
80×40%+90×60%=86
There are χ people who eat three bowls, Y people who eat two bowls and Z people who eat one bowl in the school canteen. How much does everyone eat on average?
(3××χ+2×y+ 1×z)÷(χ+y+z)
Here, x, y and z are the weight values respectively, and "weighting" refers to considering the proportional share of different variables in the population.
Extended data:
In weighted scores, besides the frequency of a number in a set of data, weight has a broader meaning.
According to statistics, when calculating the average value and other indicators in statistics, the value that weights the values of each variable is called weight.
Example: Average the following series of numbers.
3、4、3、3、3、2、4、4、3、3、
The general solution is (3+4+3+3+2+4+4+3+3)/10 = 3.2.
The weighted solution is (6 * 3+3 * 4+2)/ 10 = 3.2.
Among them, 3 appeared 6 times, 4 appeared 3 times and 2 appeared 1 time. 6,3 and 1 are called weights. This method is called weighting method.
Generally speaking, the average is to add up all the numbers and divide them by the total. Expressed as:
(p 1+p2+p3+…..+pn)/n；
However, some data records have some of the same data. When calculating, if there are several identical numbers in that number, multiply this number by several. This number is called weight and weighting, which is multiplied by several and then added. The average is still divided by the total.
References:
Baidu encyclopedia-weighted score