Question 9
A selection interview was conducted for 110 students into various subjects in a Science
department. 25 were selected for Physics, 45for Biology and 48 for Mathematics. 10 were
selected for Physics and Mathematics, 8 for Biology and Mathematics and 6 for Physics
and Biology while 5 were selected for all the three subjects.
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- llustrate the information on a Venn diagram
- How many students were selected for Biology but neither Physics nor Mathematics?
- How many students were not selected for any of the three subjects?
- The mean of 22, 18, (2x + 1), 10 and 20 is 15. Find the median.
Observation
The Chief Examiner reported that the performance by those who attempted this question was poor as they could not draw the Venn diagram correctly. However, their response was better in part (b) than in part (a).
In part (a) (i), if we let M = Mathematics, P = Physics and B = Biology, then, the expected Venn diagram is
