The following table shows the amount of rainfall (in mm) recorded on 50 rainy days in a particular year.
Rainfall (mm) : 0–10 | 10–20 | 20–30 | 30–40 | 40–50 | 50–60
Number of days : 2 | 5 | 12 | 14 | 10 | 7
(i) Convert the data into a ‘less than’ cumulative frequency distribution.
(ii) Draw the cumulative frequency curve (ogive) on graph paper.
(iii) Using the ogive, determine the median, first quartile (Q₁), and third quartile (Q₃) rainfall values.
(iv) Comment on the nature of the rainfall distribution on the basis of the quartiles obtained.