Stem-and-Leaf Diagrams

Stem-and-Leaf Diagrams

GCSE(F),

A Stem-and-Leaf Diagram is a way of organising a list of numerical data. The stem consists of the first part of the number. The leaves consist of the last digit of the number. The diagram always has a Key, which normally uses the first entry in the table and describes what the entry means.

Creating a Stem-and-Leaf diagram is a two-stage process - the first step is to create an unsorted list where the data is allocated to stems; with the second step used to place all the leaves in order.

Examples

1. The results of a Maths test are as follows:

51, 45, 62, 67, 63, 47, 48, 59, 68, 57, 52, 54, 65, 67, 66, 47, 56, 57, 49, 58, 57, 66

Create a Stem-and-Leaf diagram to show this information.

Answer: Unsorted Stem-and-Leaf diagram:

5197246787
45789
627385766

Sorted Stem-and-Leaf diagram:

457789
5124677789
623566778

Key 45 = 45 marks

2. From the Stem-and-Leaf diagram, above, what is the range of marks from the maths test?

Answer: 23

First entry is 45; last entry is 68

68 - 45 = 23