| Height (in cm) | Number of students |
| 160 | 12 |
| 165 | 4 |
| 170 | 6 |
| 175 | 8 |
| 180 | 10 |
A) 165
B) 170
C) 160
D) 180
Correct Answer: B
Solution :
(b): Mind of a Mathematician It is easy to mentally solve this problem by arranging 40 students \[\left( \sum{f=40} \right)\] in terms of their heights Median will represent average height of 20th & 21st student. First 12 students are of 160 cm, another 4 students are of 165 cm and next 6 students are of 170 cm. Within this, comes both 20th & 21st students. \[\therefore \] Median height =170 cm.
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