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A student calculated the mean of 5 numbers as 45.3. While rechecking his working, he...

Mathematics
JAMB 1999

A student calculated the mean of 5 numbers as 45.3. While rechecking his working, he discovered that his total was short by 20.5. What is the correct mean of the 5 numbers?

  • A. 49.4
  • A. 25.8
  • C. 41.2
  • D. 65.8
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Correct Answer: Option A
Explanation

The student calculated the mean as 45.3 for 5 numbers.

Therefore, the **wrong total (sum) he used was:  
   45.3 × 5 = 226.5

He discovered that his total was short by 20.5.  
   This means the actual (correct) sum is:  
   226.5 + 20.5 = 247

Correct mean = Correct sum ÷ Number of numbers  
   247 ÷ 5 = 49.4


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