The results of the annual health inspection of 100 school children are given…
2026
The results of the annual health inspection of 100 school children are given in the following table. It was found that 55% of the children were malnourished while 60% were underweight.
Among students who are not vaccinated and underweight, what proportion are malnourished?
- A.
1/3
- B.
1/4
- C.
4/9
- D.
5/9
Attempted by 13 students.
Show answer & explanation
Correct answer: D
A conditional proportion restricts attention to one named subgroup and asks what fraction of that subgroup satisfies a further condition; it is read directly from the joint-frequency table by combining the row(s)/column that match both named conditions, not by re-deriving totals from the overall percentages.
Restrict attention to the "Underweight, Not Vaccinated" column of the table.
That column shows 25 Malnourished students and 20 Adequately Nourished students.
Total students in this subgroup = 25 + 20 = 45.
Required proportion = 25 / 45 = 5/9.
Cross-check: summing the two Underweight columns (Vaccinated: 5 + 10 = 15; Not Vaccinated: 25 + 20 = 45) gives 15 + 45 = 60, matching the table's Underweight total of 60 — confirming the extracted counts are consistent.