The average value is the most commonly used statistic in statistics, which is used to indicate the relatively concentrated central position of the observed values in the data. In the production practice and scientific research of animal husbandry and aquaculture.
Average value is widely used to describe or compare the effects of various technical measures, indicators of some quantitative traits of livestock and poultry, and so on.
The average value is a quantity representing the trend in a set of data, which refers to the sum of all data in a set of data divided by the number of data in the set. It is an indicator reflecting the trend of data concentration.
Extended data:
The nature of the average:
1, the sum of the differences between the observed values and the sample average is zero, that is, the sum of deviations from the average is equal to zero. That is to say, expressed by the formula:
2. The sum of squares of the differences between the observed values and the sample average is the smallest, that is, the sum of squares of deviations from the average is the smallest. That is to say, expressed by the formula:
Average, median and mode are all statistics that describe the average level of data, and each has its own characteristics. Everyone is familiar with the average, the median describes the middle level of a set of data, and the mode describes the situation with the highest frequency in a set of data.
An obvious advantage of the average value is that it can make use of the characteristics of all data and is relatively easy to calculate. In addition, in mathematics, the average value is a statistic that minimizes the sum of squares of errors, that is to say, using the average value to represent data can minimize the secondary loss.
Only when the data distribution is skewed (asymmetric) will there be differences in mean, median and mode. So, if it is normal, you can use any statistics. If the skewness is particularly serious, the median can be used.
Baidu Encyclopedia-Average