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Descriptive Statistics · Paper 2 — Free Maths AI HL Practice Questions

1MasterySAQ-SMeasures of central tendency (mean, median, mode)6 marksPaper 2~9 min
A fitness trainer records the number of minutes spent on a treadmill by 12 clients during a session. The data, in minutes, are: 12, 15, 18, 20, 22, 25, 28, 30, 33, 36, 40, x12,\ 15,\ 18,\ 20,\ 22,\ 25,\ 28,\ 30,\ 33,\ 36,\ 40,\ x where xx is the time for the 12th client.
(a)
Given that the mean time is 2525 minutes, calculate the value of xx. [2 marks]
(b)
Hence, determine the median time for these 12 clients. [2 marks]
(c)
State whether the mode exists for this dataset and give a reason. [1 mark]
(d)
The trainer wishes to report a single average to best represent the typical session time. Determine which measure of central tendency — mean, median, or mode — is most appropriate, and justify your answer. [1 mark]
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