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.

 5 1 9 7 2 4 6 7 8 7 4 5 7 8 9 6 2 7 3 8 5 7 6 6

Sorted Stem-and-Leaf diagram:

 4 5 7 7 8 9 5 1 2 4 6 7 7 7 8 9 6 2 3 5 6 6 7 7 8

 Key 4 5 = 45 marks

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