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2.2 L: Data presentation and interpretation

2.2 L: Data presentation and interpretation

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Question 82

During an inspection, the number of faults found on each of 80 cars was recorded. The results are summarised in the table below.

Number of faults0123456
Frequency18221612732

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.

Find Q1Q_1Q1​, Q3 Q_3\,Q3​ and the interquartile range of the number of faults.

[3]
b.

Determine whether any of the 80 cars has a number of faults that is an 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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