数学
即时、私密且免费
统计计算器.
计算平均值、中位数、众数、极差、方差和标准差
此计算器尚未完全翻译——部分文本以英文显示。
输入数值
输入时结果会更新。
Count
6
Sum
121.0000
Mean
20.1667
Median
19.0000
Mode
18
Range
17.0000
Minimum
12.0000
Maximum
29.0000
Variance (Sample)
33.7667
Std. Deviation
5.8109
常见问题
我可以输入用逗号或空格分隔的数值吗?
可以。计算器支持逗号、空格、分号和换行符。
这使用的是样本方差还是总体方差?
此工具默认报告样本方差和样本标准差。
Cite this calculator
Canonical URL: https://mathify.one/zh/math/statistics
Cite as: Mathify. (2026). 统计计算器. https://mathify.one/zh/math/statistics
Use Cases
Analyze test scores
Enter a set of exam scores to quickly see the average, middle value, most common score, and spread, helping you understand class performance.
Example: Scores: 78, 85, 92, 85, 70 → mean=82, median=85, mode=85, range=22
Evaluate business metrics
Input monthly sales figures or customer satisfaction ratings to get a clear picture of central tendency and variability, aiding in decision-making.
Example: Monthly sales: 12000, 15000, 11000, 16000, 14000 → mean=13600, std dev≈2087
Frequently Asked Questions
- How do I use the statistics calculator?
- Enter your dataset as a list of numbers separated by commas or spaces. The calculator will compute the mean, median, mode, range, variance, and standard deviation for you.
- What is the difference between variance and standard deviation?
- Variance measures the average squared deviation from the mean, while standard deviation is the square root of variance. Standard deviation is in the same units as the data, making it easier to interpret.
- Can I use this calculator for sample data?
- Yes, the calculator computes both sample variance and standard deviation (using n-1) and population variance and standard deviation (using n), so you can choose the appropriate one for your data.
Tips & Common Mistakes
Tips
- Ensure your data is numeric and separated by commas or spaces for accurate calculation.
- If your dataset has an even number of values, the median is the average of the two middle numbers.
- Use the population variance when your data represents the entire group; use sample variance when it's a sample from a larger population.
- Check for outliers, as they can significantly affect the mean and standard deviation.
Common Mistakes to Avoid
- Including non-numeric characters like currency symbols or units in the input, which can cause errors.
- Confusing sample and population variance; using the wrong one can lead to incorrect conclusions.
- Forgetting that the mode may not exist if no number repeats, or there may be multiple modes.
Last updated: August 13, 2026