Distribution
Frequency polygon
Connects bin frequencies at their midpoints to describe a distribution.
- Plot
- Distribution
- Comparison
What it answers
How does frequency vary across numeric ranges?
- Shape
- Line through bin midpoints
- What it shows
- Shape and changes in binned frequency.
Example
The question
How do delivery times compare between our two warehouses?
Deliveries by days taken, two warehouses (frequency polygons)
Illustrative data. It belongs to no company.
When to use it
Use it when
Comparing binned distributions with less filled overlap.
Avoid it when
When connections could be mistaken for observed values between bins.
How to read it
Read frequencies at bin midpoints and follow the connecting line.
Note
Can also use pre-binned midpoint and frequency columns.
The data you need
- Layout
- Long table
- Fields
- Value: number
- One row is
- One raw numeric observation. What is the grain?
- Rules
- Use raw observations unless the chosen renderer explicitly accepts summaries or bins. Define missing-value treatment.
- Optional
- Optional frequency Weight. Pre-binned alternative: BinStart,BinEnd,Count; do not treat counts as raw values.
- Preparation
- Keep raw numeric observations, group them if needed and handle missingness explicitly. Choose bins, bandwidth or summary conventions as appropriate to this specific plot.
- Units
- The measurement axis retains its original unit. Frequency uses observations; normalised frequency divides by group sample size; density also depends on interval width.
Worked example
Bins[10,15),[15,20),[20,25) have counts 3,1,1. Plot midpoints 12.5,17.5,22.5; the peak is the first bin.
| Value |
|---|
| 10 |
| 12 |
| 12 |
| 18 |
| 23 |
