- AYes, the median is 24 — the open-ended classes are never the median class, so their widths are not needed
- BNo — the widths of the open-ended classes are unknown, so the median cannot be computed
- CYes, the median is 25, the class mark of the median class
- DYes, the median is 14, taking cf = 50
Step-by-Step Solution
Cumulative frequencies 8, 25, 50, 64, 70 give and . The first cf to reach 35 is 50, so the median class is 20-30 — an ordinary closed class. Every ingredient is known: Median = . Open-ended classes contribute only their frequencies to the cumulative column, so they can never block a median; contrast the MEAN, which does need a class mark for every class and therefore cannot be computed here without assuming widths. 25 is the class mark of 20-30, not the median, and 14 comes from using cf = 50, the median class's own cumulative frequency.
Answer: A) Yes, the median is 24 — the open-ended classes are never the median class, so their widths are not needed