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Which is more valuable, the median monthly salary or the average salary?
1. Data distribution
Both the median and the average can reflect the degree of data concentration, but for symmetrically distributed data, the median and the average are equal. When the data distribution is left or right, the average value will be greatly affected, but the median value will not be affected by the extreme value, which can better reflect the degree of data concentration.
2. Abnormal value of data
If there are obvious abnormal values in the data set, it may be biased to use the average value as the statistical index of the data at this time. Median is not affected by outliers, so it is more robust and can better reflect the overall characteristics of all data.
3. Segmentation analysis of data
If we want to analyze the national average recruitment monthly salary in the first quarter (such as above-average and below-average data), then the median can better divide the data, because it can divide the data set into two halves, and the average may not be able to clearly divide the data. Therefore, when data need to be segmented, the median is more valuable.
4. Stability of data
If the data set is stable and evenly distributed, the difference between the median and the mean is very small, and it is feasible to adopt both. But if the data is unstable or the sample size is small, it is more valuable to use the median, because the median is more suitable to reflect the overall trend of the data.
Generally speaking, median and average have their own advantages and disadvantages, and which index to use depends on the specific data set and data analysis purpose. However, it should be noted that in practical application, not only one indicator should be used to describe the data set, but also other indicators should be combined for comprehensive evaluation to avoid losing the correct judgment result because of the defects of a single indicator.
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