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If the standard deviation of the set of numbers 3, 6, x, 7, 5 is...

Mathematics
JAMB 1999

If the standard deviation of the set of numbers 3, 6, x, 7, 5 is 2, find the least possible value of x.

  • A. 2
  • B. 3
  • C. 4
  • D. 6
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Correct Answer: Option A
Explanation

Numbers: 3, 6, x, 7, 5  
Mean = \(\frac{(21 + x)}{5}\)  

Standard deviation = 2, so the sum of squared deviations = 20.

Solving:  
2x² - 21x + 27 = 0  

x = 9 or x = 1.5 ≈ 2

The **least possible value of x is 1.5


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