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The average height of 50 students was calculated as 170 cm. Later, it was found that the height of one student was misread as 178 cm instead of 158 cm. Find the correct average height.

1. 169.2 cm
2. 170.4 cm
3. 169.6 cm
4. 171.2 cm

Correct answer: 169.6 cm

Solution

The गलत total based on the wrong average is 50 × 170 = 8500 cm. Since 178 cm was read instead of 158 cm, the total was overstated by 20 cm, so the correct total is 8480 cm. Dividing by 50 gives the correct average as 169.6 cm.

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