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What are the characteristics of average, median and mode respectively?
1, average

It is related to every data, and the change of any data will cause the corresponding change of the average value. The main disadvantage is that it is easily influenced by extreme values. Extreme values here refer to numbers that are too big or too small. When the number is too large, the average value will be increased, and when the number is too small, the average value will be decreased.

2. Central value

It is related to the arrangement position of data, and some data changes have no effect on it; It is the representative value of the middle position of a group of data and is not affected by the extreme value of the data.

Step 3: Ways

It is related to the frequency of data, and the focus is on the frequency of each data. Its size is only related to some data in this set of data and is not affected by extreme values. Its disadvantage is not unique. There may be one pattern, multiple patterns or none in a set of data.

Extended data

1, average, median and mode;

Average is widely used. As a representative of a set of data, it is relatively stable and reliable. However, the average value is related to all the data in a set of data and is easily influenced by extreme data; Simply put, it is the average of this set of data.

Median is in the middle position in the numerical ranking of a group of data, and people can make general judgment and control on things through median. Although it is not affected by extreme data, its reliability is poor. So the median only represents the general situation of this set of data.

This mode focuses on the frequency of a set of data. As a representative of a set of data, it is not affected by extreme data, and its size is related to some data in a set of data. When the individual data in a set of data changes greatly and a certain data appears frequently, it is more appropriate to use the mode to express the concentration trend of this set of data, which reflects the concentration degree of the whole data.

2. Average, median and mode all have their own advantages and disadvantages.

Average: (1) All data of the whole group need to be calculated; (2) It is susceptible to extreme values in data.

Median value: (1) can only be determined by arranging the data in sequence; (2) Not easily influenced by extreme values in data.

Mode: (1) count; (2) Not easily influenced by extreme values in data.

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