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    Question

    The average height of a group of 30 players was recorded as

    168 cm. Later it was discovered that 172 was wrongly written as 182 and 160 was written as 150. What is the correct average height?
    A 168 cm Correct Answer Incorrect Answer
    B 185 cm Correct Answer Incorrect Answer
    C 165 cm Correct Answer Incorrect Answer
    D 190 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Correct average

    = {(30 × 168) – 182 + 172 – 150 + 160} / 30

    = {5040 – 182 + 172 – 150 + 160} / 30

    = {5040 – 182 + 172 – 150 + 160} / 30

    = (5040 – 182 + 172 – 150 + 160) / 30

    = 5040 – 182 + 172 = 5030 → 5030 – 150 + 160 = 5040

    Correct average = 5040 / 30 = 168 cm

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