Cumulative Frequency Calculator

Frequency Distribution

f(x) = count of observations in class x

• Data organization
• Class intervals
• Frequency counts
• Distribution shape
• Data clustering
• Modal classes
• Data spread

Cumulative Frequency

CF(x) = Σf(i) for all i ≤ x

• Running totals
• Accumulation
• Progressive sums
• Distribution tracking
• Percentile basis
• Threshold analysis
• Boundary points

Relative Frequency

RF(x) = f(x)/N × 100%

• Percentage distribution
• Proportion analysis
• Normalized data
• Comparative analysis
• Distribution ratios
• Probability basis
• Sample proportions

Quartiles

• First quartile (Q1)
• Median (Q2)
• Third quartile (Q3)
• Interquartile range
• Quartile deviation
• Position measures
• Data division

Percentiles

• Percentile ranks
• Score interpretation
• Distribution position
• Relative standing
• Benchmark points
• Performance metrics
• Reference points

Distribution Shape

• Symmetry analysis
• Skewness measures
• Tail behavior
• Central tendency
• Spread patterns
• Modal characteristics
• Distribution type

Educational Assessment

• Grade distribution
• Performance ranking
• Score analysis
• Achievement levels
• Standardized testing
• Progress monitoring
• Comparative evaluation

Quality Control

• Process monitoring
• Defect analysis
• Tolerance limits
• Control charts
• Specification compliance
• Performance standards
• Process capability

Market Research

• Consumer behavior
• Price distribution
• Market segments
• Preference analysis
• Response patterns
• Demographic studies
• Trend analysis