The CO emissions, in g/km, of 11 cars are
0.10, 0.12, 0.13, 0.15, 0.17, 0.19, 0.22, 0.25, 0.28, 0.34, c 0.10,\ 0.12,\ 0.13,\ 0.15,\ 0.17,\ 0.19,\ 0.22,\ 0.25,\ 0.28,\ 0.34,\ c\,0.10, 0.12, 0.13, 0.15, 0.17, 0.19, 0.22, 0.25, 0.28, 0.34, c
where c>0.34c > 0.34c>0.34.
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).
Explain why Q1 Q_1\,Q1 and Q3 Q_3\,Q3 do not depend on the value of ccc.
Write down Q1 Q_1\,Q1 and Q3Q_3Q3.
Find the set of values of c c\,c for which c c\,c is an outlier.
The car with CO emission c c\,c g/km is removed from the sample. Find the median of the remaining 10 values.
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.