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2.2 L: Data presentation and interpretation

2.2 L: Data presentation and interpretation

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Question 28

The CO emissions, in g/km, of a random sample of 11 cars are listed below in order.

0.09, 0.12, 0.14, 0.15, 0.18, 0.19, 0.21, 0.22, 0.25, 0.28, 0.52 0.09,\ 0.12,\ 0.14,\ 0.15,\ 0.18,\ 0.19,\ 0.21,\ 0.22,\ 0.25,\ 0.28,\ 0.52\,0.09, 0.12, 0.14, 0.15, 0.18, 0.19, 0.21, 0.22, 0.25, 0.28, 0.52

For this question, a value is defined to be an outlier if it is greater than Q3+1.5(Q3−Q1)Q_3 + 1.5(Q_3 - Q_1)Q3​+1.5(Q3​−Q1​) or smaller than Q1−1.5(Q3−Q1)Q_1 - 1.5(Q_3 - Q_1)Q1​−1.5(Q3​−Q1​).

a.

Write down the median and the quartiles of these data.

[2]
b.

Show that 0.52 g/km is the only outlier.

[2]
Markscheme

2.2 L: Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 L: Data presentation and interpretation

244 exam-style questions on AQA A Level Maths 2.2 L: Data presentation and interpretation, covering 2.2.1 Single-variable data diagrams, 2.2.2 Scatter diagrams and correlation, 2.2.3 Central tendency, variation and standard deviation, 2.2.4 Outliers and cleaning data, and 2.2 L: Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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