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.

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:

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?

Answer: 23

First entry is 45; last entry is 68

68 - 45 = 23

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