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

What this topic covers

This is the topic examiners lean on hardest, because it's the one place they can test whether you actually understand what a number means, not just whether you can press the right calculator button. A GDC will hand you $r$ , a $p$ -value, or a confidence interval in seconds — the marks live in knowing which tool to reach for, reading the question for the tail direction, and finishing with a sentence back in context. Four threads run through it: describing data you already have, inferring about a population you don't, modelling chance for single events, and modelling chance across a whole range of outcomes. They constantly borrow from each other, so treat this as one connected chapter, not four separate ones.

Read the full Statistics and Probability lesson notes →

1MasterySAQ-SMeasures of central tendency (mean, median, mode)8 marksPaper 2~12 min

The weekly screen time (in hours) for a random sample of 12 students from a large international school is recorded below:

18,\; 22,\; 15,\; 30,\; 25,\; 20,\; 22,\; 28,\; 16,\; 22,\; 35,\; 19

(a)

State the mode. - [1 mark]

(b)

Calculate the mean and the median. - [3 marks]

(c)

A new student joins the school and their weekly screen time is

x

hours. When this value is added to the sample, the new mean becomes

22.4

hours. Calculate the value of

x

. - [2 marks]

(d)

The school counsellor claims the mean is the most appropriate measure of central tendency to represent the original sample of 12 students. Evaluate this claim. [2 marks]

Solutions

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