Distribution

Frequency curve

Shows a smoothed representation of an observed frequency distribution.

  • Plot
  • Distribution
  • Frequency

What it answers

What is the broad shape of the frequency distribution?

Shape
Smooth frequency curve
What it shows
Approximate modes, skew and spread.

Example

The question

What is the overall shape of basket sizes?

Number of baskets by items per basket (frequency curve)

Number of baskets by items per basket (frequency curve)A smooth curve over basket counts. Most baskets hold 3 to 7 items, peaking at 5; the right tail is long.Baskets020406005101520Items per basket
Number of baskets by items per basket (frequency curve)A smooth curve over basket counts. Most baskets hold 3 to 7 items, peaking at 5; the right tail is long.Baskets020406005101520Items per basket
A smooth curve over basket counts. Most baskets hold 3 to 7 items, peaking at 5; the right tail is long.

Illustrative data. It belongs to no company.

When to use it

Use it when

A smooth overview of a sufficiently populated distribution.

Avoid it when

Small samples or a need to preserve exact bin frequencies.

How to read it

Read curve height and peaks under the stated smoothing method.

Note

State smoothing and normalisation.

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.
Example of the input layout: Long tableA long table: one row per observation, few columns. New data adds rows.ValueAABBC
A long table: one row per observation, few columns. New data adds rows.

Worked example

Example bin frequencies 3,1,1 at midpoints 12.5,17.5,22.5. Smooth the frequency profile; report that the precise curve depends on the method.

Value
10
12
12
18
23