Myths about teaching can hold you back
- Year 10•
- Foundation
Checking understanding of summary statistics from a frequency table
I can calculate the mean, median, mode and range from a frequency table.
- Year 10•
- Foundation
Checking understanding of summary statistics from a frequency table
I can calculate the mean, median, mode and range from a frequency table.
Lesson details
Key learning points
- The mean, median and mode are measures of central tendency.
- The range is a measure of the spread of the data.
- Calculating these from a frequency table may be easier when there is a larger set of data.
Keywords
A statistical summary - sums up the features of a data set. It may contain the average (mean, median and/or mode) which measure the central tendency. It may also contain the range which measures the spread.
Common misconception
Pupils may divide the total by the number of rows in the frequency table when finding the mean.
On most occasions, the pupils calculated mean will be a value outside of the data set, so a sense-check should highlight that something is not quite right. Encourage pupils to always consider if their answer is reasonable.
To help you plan your year 10 maths lesson on: Checking understanding of summary statistics from a frequency table, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Checking understanding of summary statistics from a frequency table, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Comparisons of numerical summaries of data unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.How many sevens are there in this set of data?

Q2.What is the modal value of this set of data?

Q3.There are 325 pieces of data in an ordered data set. The median is the data value in position in the data set.
Q4.The (arithmetic) mean for a set of numerical data is the of the values divided by the number of values. It is a measure of central tendency representing the average of the values.
Q5.A data set contains 125 pieces of data and has a sum of 2500. The mean of the data set is .
Q6.Match each summary statistic to its value for this set of data: 3, 9, 5, 8, 3, 4, 10.
Mean -
6
Median -
5
Mode -
3
Range -
7
Assessment exit quiz
6 Questions
Q1.The table shows the number of tries scored in some rugby matches by a team. This frequency table shows that in matches the rugby team scored 3 tries.

Q2.The table shows the number of tries scored in some rugby matches by a team. How many tries did the rugby team score most frequently?

Q3.The table shows the number of tries scored in some rugby matches. Which of these tables corresponds with this one?




Q4.The table shows the number of tries scored in some rugby matches. There were 53 matches, so the median is in the $$27^{\text{th}}$$ position. What is the median number of tries?

Q5.The table shows the number of tries scored in 53 rugby matches. Over the 53 matches the total number of tries is .

Q6.The table shows the number of tries scored in 50 rugby matches. The mean number of tries scored per match for the data in this frequency table is tries.
