The daily total rainfall, in mm, at a UK weather station was recorded for 10 consecutive days:
0.0 tr 2.4 11.2 tr 0.3 n/a 5.8 0.0 1.6
- State what tr means. [1]
- Explain how you will deal with tr and n/a, then calculate the mean daily rainfall. [3]
- The median of these data is 0.3 mm. Give a reason why the median may be a better average than the mean here. [1]
Worked solution and mark scheme
- tr means a trace of rain: less than 0.05 mm fell. B1
- Treat each tr as 0 mm. n/a means no reading, so leave that day out: 9 values remain. B1
Total $= 0 + 0 + 2.4 + 11.2 + 0 + 0.3 + 5.8 + 0 + 1.6 = 21.3$ mm. M1
Mean $= 21.3 \div 9 = 2.37$ mm (3 s.f.). A1 - The data are skewed: one very wet day (11.2 mm) pulls the mean up, while most days had little or no rain. The median is not affected by that extreme value. B1