统计与概率
已验证计算器，公式透明
Cumulative Frequency Calculator.
Calculates the cumulative frequency for a given class in a frequency distribution, along with the total frequency and relative cumulative frequency.
您的输入
工作原理
- 1
Enter the frequency of the current class.
- 2
Enter the cumulative frequency of all previous classes.
- 3
Enter the total frequency of all classes.
- 4
The calculator adds the current frequency to the previous cumulative to get the new cumulative frequency.
class_frequency + previous_cumulative常见问题
What is cumulative frequency?
Cumulative frequency is the running total of frequencies up to a certain class in a frequency distribution.
How is relative cumulative frequency calculated?
It is the cumulative frequency divided by the total frequency, expressed as a percentage.
Can I use this for grouped data?
Yes, just enter the frequency of the class interval and the cumulative frequency from the previous interval.
工作原理
Calculates the cumulative frequency for a given class in a frequency distribution, along with the total frequency and relative cumulative frequency.
- Enter the frequency of the current class.
- Enter the cumulative frequency of all previous classes.
- Enter the total frequency of all classes.
- The calculator adds the current frequency to the previous cumulative to get the new cumulative frequency.
公式
此计算器背后的数学公式，供您核对结果。
Cumulative Frequency
Add the frequency of the current class to the cumulative frequency of all previous classes.
Example:
Input: f = 15, CF_prev = 35
Calculation: 15 + 35
Result: 50
Relative Cumulative Frequency
Divide the cumulative frequency by the total frequency and multiply by 100 to get a percentage.
Example:
Input: CF = 50, Total = 100
Calculation: (50 / 100) × 100
Result: 50%
实际应用场景
此计算在日常生活中的应用。
Analyzing test scores
Determine how many students scored below a certain threshold.
Example: Cumulative frequency up to a score of 70 shows number of students with 70 or less.
Quality control
Track cumulative defects to see if production is improving.
Example: Cumulative frequency of defects per day.
Income distribution
Find the number of households earning below a certain income level.
Example: Cumulative frequency of income brackets.
提示与常见错误
Tips
- Ensure the previous cumulative frequency is correct before adding.
- Use the total frequency to verify that the final cumulative frequency equals the total.
- Relative cumulative frequency helps compare distributions with different totals.
- Round results appropriately for your context.
Common Mistakes to Avoid
- Forgetting to add the current frequency to the previous cumulative.
- Using the class frequency instead of the cumulative frequency in the relative calculation.
- Not including all previous classes in the previous cumulative value.
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.