🎓 Graphing & Visualization • Statistical Charts
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Continuous Frequency Distribution Histogram Generator
Builds continuous frequency distribution histograms with customizable bin counts and class intervals.
Continuous Dataset (comma-separated):20 samples
Number of Bins:
Presets:
Mean x̄78.05Median: 78.5
Std Deviation s10.99Variance: 120.68
Skewness-0.16Symmetric
Sample Range43[55, 98]
Frequency Distribution & Bin Intervals
| Bin Range | Midpoint (x) | Frequency (f) | Rel. Freq % | Cumulative f | Expected Normal |
|---|---|---|---|---|---|
| [55, 63.6) | 59.3 | 2 | 10% | 2 | 1.5 |
| [63.6, 72.2) | 67.9 | 4 | 20% | 6 | 4.1 |
| [72.2, 80.8) | 76.5 | 6 | 30% | 12 | 6.2 |
| [80.8, 89.4) | 85.1 | 5 | 25% | 17 | 5.1 |
| [89.4, 98) | 93.7 | 3 | 15% | 20 | 2.3 |
What is a Histogram?
A histogram is a graphical representation of the distribution of numerical data, grouping continuous numbers into discrete bins (intervals).
Formula & Step-by-Step Calculation
Bin Width = (Max - Min) / Number of Bins (k)
Class interval partitioning.
Worked Step-by-Step Examples
Example 1
Histogram for dataset with range 10 to 60 into 5 bins
Solution: Bin width = 10 (10-20, 20-30, 30-40, 40-50, 50-60)
• Counts data points falling within each continuous bin
Common Real-World & Academic Use Cases
- ✓ Analyzing demographic age distributions
- ✓ Student grade distribution bell-curve grading
- ✓ Manufacturing tolerance deviation tracking
How to Use the Continuous Frequency Distribution Histogram Generator
1
Paste Numbers
Enter comma-separated values.
2
Select Bins
Choose 3, 5, 7, or 10 bins.
3
Inspect Frequencies
View bar heights representing counts in each interval.
Frequently Asked Questions
Q: How does a histogram differ from a bar chart?
Histograms represent continuous quantitative data with no gaps between bars; bar charts represent discrete categorical data.