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The average h...

Question

The average height of a class of 40 is 156 cm. If one person leaves and the class and the average height decreases by 0.2 cm, what is the height of the person who left?

A

163.8 cm

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B

164.2 cm

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C

166 cm

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D

164 cm

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Solution

The correct option is A 163.8 cm
Sum of heights of 40 students $= 40 \times 156 = 6240$ cm
Sum of heights after the person left $= 39 \times 155.8 = 6076.2$ cm
Height of the person who left = 6240-6076.2 = 163.8 cm

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