In statistical calculation, the numerical value used to measure the role of each unit in the population is called weight. The weight determines the structure of the index. If the weight changes, the absolute index value and average value will also change, so the weight is an important factor affecting the change of index value. Weight is generally expressed in two forms: one is absolute number (frequency) and the other is relative number (frequency). Relative number is expressed as a percentage (%) or one thousandth (‰) of absolute number, also called specific gravity. The average value depends not only on the tag value (variable value) of each unit in the population, but also on the frequency of each tag value. Because the frequency of each sign value plays a role in measuring its influence in the average, it is called weight. This shows that the weighting effect is reflected in the proportion of each group of units to the total number of units. For example, the weight in industrial production index is an index that defines the importance of a single index of products in the formation of production index. Different importance of products has different effects on development speed. The product or industry accounts for a large proportion, the weight is large, and the role in the index is great. The weight in the comprehensive index of industrial economic benefits is determined according to the importance of each index in the comprehensive economic benefits. (See Question 38) The retail price index not only uses representative specifications to calculate individual price indexes, but also uses retail sales as a weight to weigh the importance of individual commodity price indexes in the formation of the overall price index.

Correctly understand the weight in statistics

In statistics, the numerical value used to measure the role of each unit's sign value in the crowd is called weight. The sum of the weights is generally 100 or 1000. Now let's assume an example to illustrate.

Average remuneration: unweighted calculation (800+600+400)÷ 3 = 600 yuan.

By weight:

Weighted by the number of employees (800× 50+600× 250+400× 200) ÷ 500 = 540 yuan.

According to the proportion of each group of employees in the total number of employees, the weight is 800×10%+600× 50%+400× 40% = 540 yuan.

From the above example, it is not realistic to equate the influence of different salary levels on the overall average salary according to unweighted calculation. According to the weighting method, different people (or proportions) with different salary levels have different effects on the overall average. The calculation results show that 50% of 600 yuan has the greatest influence on the average salary, followed by 40% of 400 yuan and 10% of 800 yuan, so the average salary in 540 yuan is in line with the actual situation.

Theoretically, the weight determines the structure of the index. If the weight changes, the absolute index value and average value will also change, so the weight is an important factor affecting the change of index value. Generally speaking, weight is expressed in two forms, one is absolute number (frequency), and the other is relative number (frequency). Relative number is expressed as a percentage (%) of absolute number, also called specific gravity. The average value depends not only on the tag value (variable value) of each unit in the population, but also on the frequency of each tag value. Because the frequency of each sign value plays a role in measuring its influence in the average, it is called weight.

The weight function is reflected in the proportion of each group of units to the total number of units, which is widely used to calculate the average and index. For example, the weight in industrial production index is an index that defines the importance of a single index of products in the formation of production index. In addition to selecting representative specifications to calculate individual price indexes, retail sales should also be taken as the weight. The weight of consumer price index comes from the consumption expenditure of various commodities and services and the proportion of actual consumption expenditure of various commodities and services, which plays a weighing role in the formation of consumer price index.

There are four numbers in your topic, 1 5, 0 3, 2 2, 1 1. If the addend of 2 is 1/2, the weighted number is 1, that is, 2 * (1/2) = 65448.

Similarly, the average value is (5+2+2+1)10 = 2.5.