Histogram & Frequency Polygon Builder

Grade 12 Mathematics · Data Handling

Fill in your name, build your graph, then press Print / Save as PDF to hand it in.

Who is handing this in?

These appear at the top of your printed page.

Learner name

Group

Class

Date

1 · Choose a scenario

Five real situations, each with two data sets you can compare.

2 · Set up the classes

Equal class widths, the way CAPS wants them.

First class starts at

Class width

Horizontal axis label

Vertical axis label

3 · Compare two data sets?

Both sets share the same class intervals — otherwise the comparison is not fair.

Name of set A

Name of set B

4 · Enter the frequencies

One row per class interval.

Class interval	f	f (B)	Mid

5 · What to show

Histogram bars Frequency polygon — closed on the axis Midpoint markers Show the open polygon too — the common mistake Mark the estimated mean Frequency labels on the bars

Concrete → Pictorial → Abstract

The Singapore approach. Do not skip straight to the symbols — the graph only means something to a learner who has first handled the actual data.

The numbers behind the picture

All calculated from the grouped data — exactly as you would by hand.

Build this in GeoGebra Classic

Type these lines into the Input Bar, pressing Enter after each one.

Copied.

Why the extra 0 at each end? A frequency polygon must come down and touch the horizontal axis. Adding one empty class on each side gives it somewhere to land — at the midpoint of a class that contains nobody.

See it live in GeoGebra

The commands above, run for you. Drag the axes, zoom, and watch the polygon close on the horizontal axis.

This one panel loads GeoGebra from geogebra.org, so it needs an internet connection. Everything else on the page works offline.