The CO2 _2\,2 emissions, x x\,x g/km, of 250 cars are summarised in the table below.
| CO2 _2\,2 emission (g/km) | Frequency |
|---|---|
| 100≤x<140100 \le x < 140100≤x<140 | 30 |
| 140≤x<180140 \le x < 180140≤x<180 | 70 |
| 180≤x<220180 \le x < 220180≤x<220 | 90 |
| 220≤x<260220 \le x < 260220≤x<260 | 45 |
| 260≤x<300260 \le x < 300260≤x<300 | 15 |
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).
Use linear interpolation to estimate Q1 Q_1\,Q1 and Q3Q_3Q3.
Hence estimate the interquartile range, and determine whether a car with a CO2 _2\,2 emission of 320 g/km would be classed as an outlier.
105 exam-style questions on WJEC A Level Maths 2.2 Data presentation and interpretation, covering 2.2.1 Data presentation and interpretation, 2.2.2 Data presentation and interpretation, 2.2.3 Data presentation and interpretation, 2.2.4 Data presentation and interpretation, 2.2.5 Data presentation and interpretation, 2.2.6 Data presentation and interpretation, 2.2.7 Data presentation and interpretation, 2.2.8 Data presentation and interpretation, and 2.2 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.