The average height of 35 girls in a class was calculated as 160 cm. It was later found that the height of one of the girls in the class was wrongly written as 144 cm, whereas her actual height was 104 cm. What is the actual average height of the girls in the class? ( rounded off to 2 digits after decimal).

A. 158.54 cm

B. 158.74 cm

C. 159.56 cm

D. None of these

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Solution(By Apex Team)

$\begin{array}{l}\text{Correct sum}\\ \text{= (160 × 35 + 104 – 144) cm}\\ \text{= 5560 cm}\\ \text{∴ Actual average height}\\ =\left(\Large\frac{5560}{35}\right)\ \text{cm}\\ =158.857\ \text{cm}\\ \approx158.86\ \text{cm}\end{array}$

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