Year 10 - Maths
Constructing stem and leaf diagrams
Comparisons of numerical summaries of data
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will compare two different data sets and compare different measures of central tendancy when interpreting the data. Pupils will learn to interrogate frequency tables and stem and leaf diagrams both with and without technology.
Lesson Summary
You will learn to construct a stem and leaf diagram.
Key Notes
- The stem is made of all but the last digit of each value.
- The leaves are made from the last digit of each value.
- It is important that place value is preserved in the diagram through use of a key.
- A stem and leaf diagram can display data in strata.
Vocabulary To Learn
- Stem and leaf diagram: A stem and leaf diagram is a systematic way to visually organise and represent numerical data.
Common Mistakes To Avoid
- That the stem always has to have the same number of digits.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The stem is made of all but the last digit of each value. The leaves are made from the last digit of each value.
2. Use this key word in a maths sentence and explain it clearly. 'Stem and leaf diagram'
A stem and leaf diagram is a systematic way to visually organise and represent numerical data. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: That the stem always has to have the same number of digits. Correction: Data with a range between 93 cm and 147 cm, draw the stem-and-leaf diagram but how do they write a key for it? Stress the leaf is the final single digit (all truncated so final digits have same place value), and all other digits form the stem.
More Lessons In This Unit
- Calculating summary statistics from a grouped frequency table Study Guide
- Calculating summary statistics from stem and leaf diagrams Study Guide
- Calculating the mean from a grouped frequency table Study Guide
- Checking understanding composite and bar-line charts Study Guide
- Checking understanding of bar charts and pictograms Study Guide
- Checking understanding of measures of central tendency Study Guide
- Checking understanding of pie charts Study Guide
- Checking understanding of summary statistics from a frequency table Study Guide
- Checking understanding of summary statistics from a list Study Guide
- Comparing data sets in context Study Guide
- Comparing various representations of data sets Study Guide
- Problem solving with comparisons of numerical data Study Guide
- Statistical summaries using technology Study Guide
- Weighted means Study Guide
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