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Year 10
Higher

Checking understanding of summary statistics from a frequency table

I can calculate the mean, median, mode and range from a frequency table.

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New
New
Year 10
Higher

Checking understanding of summary statistics from a frequency table

I can calculate the mean, median, mode and range from a frequency table.

Download all resources
Share activities with pupils

Lesson details

Key learning points

  1. The mean, median and mode are measures of central tendency.
  2. The range is a measure of the spread of the data.
  3. Calculating these from a frequency table may be easier when there is a larger set of data.

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.

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.

Questions where the mean is given and there are missing parts of the frequency table can lead to simultaneous equations, if further extension is needed.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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Starter quiz

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6 Questions

Q1.
How many sevens are there in this set of data?
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Correct Answer: 6, six
Q2.
What is the modal value of this set of data?
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2
3
5
Correct answer: 7
8
Q3.
There are 325 pieces of data in an ordered data set. The median is the data value in position in the data set.
Correct Answer: 163, 163rd, 163 rd
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.
Correct Answer: sum, total
Q5.
A data set contains 125 pieces of data and has a sum of 2500. The mean of the data set is .
Correct Answer: 20, twenty
Q6.
Match each summary statistic to its value for this set of data: 3, 9, 5, 8, 3, 4, 10.
Correct Answer:Mean,6

6

Correct Answer:Median,5

5

Correct Answer:Mode,3

3

Correct Answer:Range,7

7

Exit quiz

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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.
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Correct Answer: 6, six
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?
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0
Correct answer: 1
2
3
4
Q3.
The table shows the number of tries scored in some rugby matches. Which of these tables corresponds with this one?
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Correct Answer: An image in a quiz
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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?
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0
Correct answer: 1
2
3
4
Q5.
The table shows the number of tries scored in 53 rugby matches. Over the 53 matches the total number of tries is .
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Correct Answer: 72, seventy two
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.
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Correct Answer: 1.4, 1.4 tries