โ Commas ยท spaces ยท line breaks ยท decimals ยท large datasets supportedn = 0
โ๏ธ Grouping Options
โ Custom Class Intervals
Define your own class boundaries. Each class is [Lower, Upper) โ open on the right โ except the last which is [Lower, Upper] closed.
Classes must be added in ascending order (each class starts where the previous one ends).
โ Add a Class
Enter the lower and upper boundary for your first class, then keep adding classes in ascending order.
๐ Defined Classes
No classes defined yet.
Ungrouped Results
๐ค Export & Copy:
๐ Distribution Shape & Character
Frequency Histogram
Bars = observed; red dashed = fitted normal curve; teal line = mean
Vertical Boxplot
Five-number summary + outliers (red dots) + mean (amber dot)
๐ Full Descriptive Statistics โ Raw Data
Statistic
Value
Economic & Statistical Interpretation
Grouped Results
๐ Grouping Summary
๐ Frequency Distribution Table
Class Interval
Lower (L)
Upper (U)
Midpoint (mแตข)
Freq (fแตข)
Rel Freq
Rel %
Cum Freq
Cum %
fแตขยทmแตข
fแตขยทmแตขยฒ
โ Modal class (highest frequency) highlighted in teal. Last class uses closed bracket [L, U].
Frequency Histogram
โ Grouped Descriptive Statistics
Statistic
Value
Economic & Statistical Interpretation
โ Ungrouped vs Grouped Comparison
Statistic
Ungrouped (exact)
Grouped (approx.)
|Difference|
Grouped statistics use class midpoints as value proxies โ information is lost in the grouping process. Smaller class width (larger k) reduces approximation error. Use ungrouped statistics for precise analysis; grouped for frequency pattern identification.
