When calculating the weighted average, the right of use usually reflects the importance of the corresponding data: the greater the weight, the more important the data is.
1, which means right
Weight has two meanings: ① the quantity of data; ② Data percentage.
The greater the weight, the greater the proportion of data in the population, and the greater the impact on the weighted average.
2. Definition of rights
"Weight" refers to a proportion and its fraction. Weighted average means that each value is multiplied by the corresponding weight, then added to get the total value, and then divided by the total number of units.
The weighted average depends not only on the value (variable value) of each cell in the population, but also on the frequency (frequency) of each value.
Because the number of occurrences of each value plays a role in weighing its influence on the average, it is called weight.
Because the weighted average is an average calculated according to different weights, it is also called weighted average.
Extended data
1. In daily life, people often understand "weight" as the "weight" of things.
For example, there is a first-year student, a second-year student and two third-year students, so we say that the rights of first-year students are 1/4, and the rights of third-year students are 2/4.
The weight of indicators refers to their relative importance in the overall evaluation.
Weighted average is the average value of data with different proportions, and weighted average is the calculation of reasonable proportion of original data.
If x 1 appears f 1 times, x2 appears f2 times, …, and xk appears fk times, then (x1f1x2f2+... xkfk)/(f1f2+... F 1, f2, …, fk is the weight of x 1, x2, …, xk.
2. Weighted average and arithmetic average
The weighted average is similar to the arithmetic average, but the difference is that each point in the data does not contribute equally to the average, and some points are more important than others.
The concept of weighted average is of great significance in descriptive statistics.