Statistical problems - statistical summaries | Maths | Quizalize & Oak National Academy

Starter quiz

Match each type of average with its description.
- mean
  
  ⇔
  
  the sum of the data divided by the number of data points ✓
- median
  
  ⇔
  
  the most central (middle) piece of data ✓
- mode
  
  ⇔
  
  the data value with the highest frequency ✓
The spread of a data set can be measured using the ______, by subtracting the lowest value from the highest value.
- 'range' ✓
What is the mode for the data represented in the dot plot? The mode is ______
- '3' ✓
What is the median for the data represented in the dot plot? The median is ______
- '4' ✓
Find the mean for following numbers: 1, 4, 7, 8. The mean is ______
- '5' ✓
Which set of numbers has the greatest range?
- 20, 24, 25, 27, 29 ✓
- 23, 24, 25, 29, 29
- 33, 34, 35, 37, 39
- 134, 135, 137, 140

Which statistical summary is not a type of average?
- mean
- median
- mode
- range ✓
Select the type of average that could be used for the following data: dog, cat, dog, dog, fish, cat, cat, hamster, cat
- mean
- median
- mode ✓
- range
Each data set has a mean of 50. For which data set is this average the least representative of numbers in the set?
- 45, 49, 49, 51, 52, 54
- 49, 49, 50, 50, 50, 52
- -337, 109, 120, 131, 138, 139 ✓
Select the type of average which would least represent the central tendency of the following data: 1, 2, 5, 6, 7, 10, 10
- mean
- median
- mode ✓
The table provide a statistical summary of data about monthly rainfall in four regions. Which region tends to get the most rainfall?
- Armagh
- Bradford
- Cardiff
- Dundee ✓
The table provide a statistical summary of data about monthly rainfall in four regions. In which region is the amount of rainfall most consistent?
- Armagh ✓
- Bradford
- Cardiff
- Dundee

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The type of data may mean that certain statistical measures are not appropriate.
The nature of the data may mean that certain statistical measures are not appropriate.
Certain statistical measures may not make sense within the context of the data.

Either the mean, median or mode could be used as an average in any situation.

The choice of average can depend on the type of data. For example, in a list of colours, you can find the mode but not the mean.

Statistical summary - A statistical summary sums up the features of a data set.
Spread - The spread/dispersion of data values describes how far apart the pieces of data are.
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