New
New
Year 8
Problem solving with numerical summaries of data
I can use my understanding of various data summaries to solve problems.
New
New
Year 8
Problem solving with numerical summaries of data
I can use my understanding of various data summaries to solve problems.
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Lesson details
Key learning points
- Stated conclusions should be critically evaluated to ensure validity.
- Certain statistical summaries may be omitted in the real world.
- In order to make more accurate conclusions, you need the data set and the conditions it was collected in.
Keywords
Statistical summary - A statistical summary sums up the features of a data set.
Central tendency - A summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution
Range - The range is a measure of spread. It is found by finding the difference between the highest and lowest values
Common misconception
Reporting two averages when asked to make two comparisons between sets of data.
Mean, media and mode essentially measure the same thing: central tendency. So use one of the comparisons to comment on the spread of data.
Ask pupils to sketch possible dotplots for a dataset when they are given an average and the range. E.g. 10 people throw darts at a target; the mean score was 30 points and the range was 8 points.
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).Lesson video
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Starter quiz
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6 Questions
Q1.
The dot plot represents a set of data. The mode for this data is .
Q2.
The dot plot represents a set of data. The median for this data is .
Q3.
The dot plot represents a set of data. The mean for this data is
Q4.
The dot plot represents a set of data. The range for this data is
Q5.
Select all of the measures that are types of averages.
range
total
Q6.
Two classes of pupils sit a test. The range of scores in Class A is 22; the range in scores for Class B is 35. Which conclusion is valid for this statistical summary?
The scores in Class A tended to be higher than the scores in Class B.
The scores in Class A tended to be lower than the scores in Class B.
The scores in Class A tended to be less consistent than the scores in Class B.
Exit quiz
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6 Questions
Q1.
The central tendency of a dataset can be described by using an , such as the mean, median or mode.
Q2.
The spread of a dataset can be described by using the .
mean
median
mode
Q3.
The table shows summary statistics about how many points each person scored during a series of hockey games. The mode suggests that tended to score the highest each game.
Q4.
The table shows summary statistics about how many points each person scored during a series of hockey games. Which measure suggests that Jun tended to score the highest in each game?
median
mode
range
Q5.
The table shows summary statistics about how many points each person scored during a series of hockey games. Which measure suggests that Aisha tends to score the highest in each game?
mean
mode
range
Q6.
The table shows summary statistics about how many points each person scored during a series of hockey games. Whose scores tend to be the most consistent?
Aisha
Sofia