6 exam-style questions with full mark schemes and model answers. Write your own answer and the AI examiner marks it against the mark scheme.
The table below shows the total monthly rainfall recorded at a UK weather station over six months.
| Month | Rainfall (mm) |
|---|---|
| April | 62 |
| May | 48 |
| June | 55 |
| July | 39 |
| August | 71 |
| September | 65 |
Calculate the mean monthly rainfall for these six months. (2 marks)
The table below shows the magnitudes of the eight largest earthquakes recorded in a tectonically active region during one year.
| Earthquake | Magnitude |
|---|---|
| A | 4.2 |
| B | 5.8 |
| C | 6.1 |
| D | 4.9 |
| E | 5.3 |
| F | 6.7 |
| G | 5.0 |
| H | 4.5 |
Calculate the median magnitude. (2 marks)
As part of a fieldwork enquiry, students counted the number of visitors entering a National Park honeypot site on each of nine days.
| Day | Visitors |
|---|---|
| 1 | 320 |
| 2 | 415 |
| 3 | 380 |
| 4 | 415 |
| 5 | 350 |
| 6 | 415 |
| 7 | 290 |
| 8 | 380 |
| 9 | 460 |
Calculate the modal number of visitors. (1 mark)
The table below shows the mean monthly temperature recorded at a hot-desert weather station over seven months.
| Month | Temperature (°C) |
|---|---|
| March | 24 |
| April | 29 |
| May | 35 |
| June | 41 |
| July | 39 |
| August | 38 |
| September | 33 |
Calculate the range of these temperatures. (1 mark)
The table below shows the discharge of a river, measured in cumecs (cubic metres per second), on nine separate days.
| Day | Discharge (cumecs) |
|---|---|
| 1 | 27 |
| 2 | 12 |
| 3 | 40 |
| 4 | 18 |
| 5 | 31 |
| 6 | 15 |
| 7 | 45 |
| 8 | 22 |
| 9 | 36 |
Calculate the interquartile range (IQR) of the discharge. (3 marks)
The table below shows the population of a rapidly growing NEE city at two census dates.
| Year | Population |
|---|---|
| 2011 | 2,500,000 |
| 2021 | 3,200,000 |
Calculate the percentage change in the city's population between 2011 and 2021. (3 marks)