Year 10 - Maths
Calculating summary statistics from a grouped frequency table
Comparisons of numerical summaries of data
Study Hub
Study Guides
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 calculate the median, mode and range from a grouped frequency table.
Key Notes
- The median and mode are measures of central tendency.
- The range is a measure of the spread of the data.
- Calculating these from a grouped frequency table may be easier when the data set is very large.
Vocabulary To Learn
- Interval: An interval is all the values between two points.
- Modal class: The modal class is the interval, or group of values, with the highest frequency in a data set.
- Median class: The median class is the class which contains the central (middle) datum when the data are in numerical order.
Common Mistakes To Avoid
- That the interval widths need to be constant, or conversely that they can be anything.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The median and mode are measures of central tendency. The range is a measure of the spread of the data.
2. Use this key word in a maths sentence and explain it clearly. 'Interval'
An interval is all the values between two points. 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 interval widths need to be constant, or conversely that they can be anything. Correction: If interested in people's ages it may be that decades makes sense once over 30 but that significant ages such as 16, 18 and 21 should form boundaries, depending on context. Encourage critical thinking for data with unequal intervals.
More Lessons In This Unit
- 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
- Constructing stem and leaf diagrams Study Guide
- Problem solving with comparisons of numerical data Study Guide
- Statistical summaries using technology Study Guide
- Weighted means Study Guide
Browse all guides in the Year 10 Maths guide library.