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?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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