Question 52

The average height of a group of 12 students is 170 cm. Four students of heights 154 cm, 157 cm, 165 cm, and 172 cm left the group. what is the new average height (in cm) of the group?

Solution

The average height of a group of 12 students is 170 cm.

total height of a group of 12 students = $$12\times170$$

= 2040

Four students of heights 154 cm, 157 cm, 165 cm, and 172 cm left the group.

Sum of the height of remaining (12-4) students = 2040-(154+157+165+172)

= 2040-648

= 1392

New average height (in cm) of the group = $$\frac{1392}{8}$$

= 174 cm

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