Multiple choice

The average height of 32 girls of a class was calculated 165 cm. It was later found that the height of one of the girls in the class was wrongly written as 135 cm, whereas her actual height was 103 cm. What was the actual average height of the class?

  1. $164 cm.$
  2. $166 cm.$
  3. $134 cm.$
  4. $136 cm.$
  5. $Cannot be determined$
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A Correct answer
Explanation

The sum was overstated by 135 - 103 = 32 cm. The actual average decreases by 32/32 = 1 cm from the calculated average. Actual average = 165 - 1 = 164 cm. This is a direct application of the average correction formula.

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