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Stem and Leaf Diagrams

Practise your ability to read and construct stem-and-leaf diagrams for statistical data.
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This is level 3: Creating basic stem-and-leaf diagrams. You will be awarded a trophy if you get at least 4 answers correct and you do this activity online.

1

Create a stem-and-leaf diagram by typing the following numbers into the grid below:

11,19,21,28,37

✓ ✗
2

Create a stem-and-leaf diagram by typing the following numbers into the grid below:

23,26,32,32,33,43,45,57,59

✓ ✗
3

Create a stem-and-leaf diagram by typing the following numbers into the grid below. Don't forget that the leaves should be in ascending order.

67, 57, 56, 70, 50, 47, 67, 56, 56, 80, 58, 57, 63, 41, 77

✓ ✗
4

Create a stem-and-leaf diagram by typing the following numbers into the grid below. Don't forget that the leaves should be in ascending order and, for this diagram, the numbers in the stem are two digit numbers.

117, 121, 121, 111, 158, 136, 162, 132, 146, 146, 147, 122, 142, 152, 140, 128, 126, 148, 154, 151


Key 14|7 represents 147

✓ ✗
5

Construct a stem-and-leaf diagram to show the distances, in metres, thrown by the 20 students in the foam javelin competition at the school sports day.

4.9 m1.6 m7.3 m3.1 m8.0 m
2.8 m6.5 m1.2 m5.8 m4.0 m
7.7 m2.3 m6.1 m8.8 m3.7 m
5.2 m1.9 m8.4 m4.4 m6.9 m

Key 3|7 represents 3.7 metres

✓ ✗
Check

Can you correct your mistakes in order to get full marks?

This is Stem and Leaf Diagrams level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 Level 6 Level 7

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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Description of Levels

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Level 1 - Reading basic stem-and-leaf diagrams

Level 2 - Reading a railway timetable in the stem-and-leaf format

Level 3 - Creating basic stem-and-leaf diagrams

Level 4 - Creating stem-and-leaf diagrams from data provided in different formats

Level 5 - Finding measures of central tendency and spread from stem-and-leaf diagrams

Level 6 - Stem-and-leaf diagram puzzles!

Level 7 - Comparing two sets of data provided in stem-and-leaf diagram format

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

This video was created by 1st Class Maths and made available on YouTube.

Some questions have a hint that can help you find a way to solve the problem. If you see a  button, click it to reveal the hint.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Method for Finding the Quartiles

For discrete distributions, there is no universal agreement on selecting the quartile values, but for the purpose of this exercise, we'll use the most popular method:

  1. The median is the value in the middle of the data set when it is arranged in order of size.
  2. Use the median to divide the ordered data set into two halves. The median becomes the second quartile.
  3. If there are an odd number of data points in the original ordered data set, do not include the median (the central value in the ordered list) in either half.
  4. If there are an even number of data points in the original ordered data set, split this data set exactly in half.
  5. The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

Read more about the methods for finding quartiles of discrete data in the December 2024 Transum Newsletter.

The interquartile range is the difference between the upper and lower quartiles.

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