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平均数、中位数和众数

计算一组数字的平均数(算术平均值)、中位数和众数。

In statistics, there is no single 'average' that describes every data set perfectly. Instead, we use three primary measures of central tendency: the Mean, the Median, and the Mode. Each of these provides a different perspective on where the 'center' of your data lies. The Mean is the mathematical average, the Median is the exact middle point, and the Mode is the most frequent value. Together, these three metrics help researchers, students, and business analysts understand the distribution of their data and identify potential outliers. Our calculator processes your entire list of numbers instantly to provide all three measures, along with the total count and sum.

平均值

30

Mean: 30.00, Median: 30, Mode: 无众数

Numbers10, 20, 30, 40, 50
个数5
总和150
中位数30
众数无众数

工作原理

This calculator first cleans your input to extract only valid numbers. It then sorts the list numerically to find the Median. To find the Mean, it sums all values and divides by the total count. For the Mode, it counts the frequency of every unique number in the set and identifies which one appears most often.

计算公式

Mean = Σx / n

Calculation Examples

For the set [1, 2, 2, 3, 7]: - **Mean**: (1+2+2+3+7)/5 = **3.0** - **Median**: The middle number is **2** - **Mode**: The number **2** appears most often.

Why use this tool in your daily life?

Don't let data overwhelm you. This service empowers you to find the 'signal in the noise,' providing the essential statistical foundations needed for everything from grading papers to analyzing market research.

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