The CO2 _2\,2 emissions, x x\,x g/km, of 200 cars are summarised in the table below, where p p\,p and q q\,q are positive integers.
| CO2 _2\,2 emission (g/km) | Frequency |
|---|---|
| 100≤x<140100 \le x < 140100≤x<140 | 24 |
| 140≤x<180140 \le x < 180140≤x<180 | 60 |
| 180≤x<220180 \le x < 220180≤x<220 | ppp |
| 220≤x<260220 \le x < 260220≤x<260 | qqq |
| 260≤x<300260 \le x < 300260≤x<300 | 16 |
Using the class midpoints, the estimated mean CO2 _2\,2 emission is exactly 190 g/km.
Find the value of p p\,p and the value of qqq.
Use linear interpolation to estimate the median CO2 _2\,2 emission.
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.