统计与概率
已验证计算器，公式透明
Categorical Data Calculator.
Calculates basic statistics for categorical data: number of categories, total observations, and mode count.
您的输入
工作原理
- 1
Enter the number of categories.
- 2
Enter the total number of observations.
- 3
Enter the frequency of the most common category.
- 4
The calculator shows the mode proportion and average per category.
max_frequency / total_observations * 100常见问题
What is the mode proportion?
It is the percentage of observations that belong to the most frequent category, calculated as highest frequency divided by total observations times 100.
How is the average per category computed?
It is the total observations divided by the number of categories, giving the mean count if all categories were equal.
Can I use this for any categorical data?
Yes, as long as you know the number of categories, total observations, and the frequency of the most common category.
工作原理
Calculates basic statistics for categorical data: number of categories, total observations, and mode count.
- Enter the number of categories.
- Enter the total number of observations.
- Enter the frequency of the most common category.
- The calculator shows the mode proportion and average per category.
公式
此计算器背后的数学公式，供您核对结果。
Mode proportion
This gives the percentage of data points in the most frequent category.
Average per category
This is the mean count per category if the data were evenly distributed.
实际应用场景
此计算在日常生活中的应用。
Survey analysis
Quickly see which response option dominates and how concentrated the answers are.
Example: A survey with 200 responses, 80 choosing 'Yes' gives a mode proportion of 40%.
Quality control
Identify the most common defect type in a production batch.
Example: Out of 500 items, 150 have the same defect, so mode proportion is 30%.
Market research
Determine the most popular product variant among customers.
Example: If 120 out of 300 customers prefer blue, mode proportion is 40%.
提示与常见错误
Tips
- Ensure the highest frequency is not greater than total observations.
- Use the average per category to check if the distribution is balanced.
- Compare mode proportions across different groups to spot differences.
- For large datasets, round frequencies to whole numbers.
Common Mistakes to Avoid
- Entering the highest frequency as a percentage instead of a count.
- Forgetting that total observations must be at least as large as the highest frequency.
- Using the mode proportion as a measure of spread; it only indicates concentration.
假设与限制
- Use the stated inputs and units.
- Results are estimates for planning and education.
- Check measurements and source data before making an important decision.