Summarising data | Maths | Quizalize & Oak National Academy

Starter quiz

Match the summary statistic to its definition.

mean

⇔

is the sum of the values divided by the number of values ✓

median

⇔

is the middle piece of data when the data are in order ✓

mode

⇔

is the most frequent value ✓

range

⇔

is a measure of spread ✓
Find the mode of this list of numbers: 4, 7, 16, 16, 22, 23, 24, 28

7

16 ✓

17.5

19

24
Find the median of this list of numbers. 4, 7, 16, 16, 22, 23, 24, 28

7

16

17.5

19 ✓

24
Find the modal value of this dataset from its dot plot.

9

11

28

29 ✓

30
Work out the mean of this dataset: (-6), (-5), (-3), (-3), 1, 4, 5, 7

'0' ✓
Dataset A and dataset B both show the minimum temperatures in two different locations. How much bigger is the range of dataset A than the range of dataset B?

'11' ✓

Which of these most closely describe a "measure of central tendency"?

A single value that summarises how spread out or varied a dataset is

Always a single value that calculates the middle number in an ordered dataset

Usually a single value that calculates the middle number in an ordered dataset

Always a single value representing a central property of a distribution

Usually a single value representing a central property of a distribution ✓
Describe the modal properties of this dataset: 2, 2, 6, 5, 6, 6, 3, 4, 0, 9, 2

mode at 2

mode at 6

bimodal at 2 and 5

bimodal at 2 and 6 ✓

trimodal at 2, 5, and 6
For the following dataset, match the summary statistic to its value: 10, 14, 14, 18, 19, 21, 23

mean

⇔

17 ✓

median

⇔

18 ✓

mode

⇔

14 ✓

range

⇔

13 ✓
Which of these is the most likely value of the mean for this dataset, represented by a dot plot?

10

76

80 ✓

86

90
In which of these dot plots would the mode be a representative summary of the dataset?

a

b ✓

c

d ✓
Which of the following statements are true for this dot plot when evaluating whether the median is a representative summary of the data?

The median is approximately 21. ✓

The median is approximately 17 and 26.

The median may not be the most representative summary. ✓

The median will never be a useful summary for this dataset.

The median can still be a useful summary for this dataset. ✓

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The mean is the most meaningful average.

Looking at bimodal data, trimodal data or data with extreme outliers. Context may be relevant.

Data - Data are a collection of information.
Mean - The (arithmetic) mean for a set of numerical data is the sum of the values divided by the number of values.
Median - The median is the central (middle) piece of data when the data are in numerical order.
Mode - Mode is the most frequent value. It is a measure of central tendency representing the average of the values.
Measure of central tendency - A summary that attempts to describe a whole set of data with a single value that represents the middle of the distribution.