Question:

The arithmetic mean of \( a, b, c, \) and \( d \) is 14. \[ \text{Quantity A: } 32, \quad \text{Quantity B: } 39. \]

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When dealing with the arithmetic mean, make sure you have all the values needed to compare quantities.
Updated On: Sep 30, 2025
  • The two quantities are equal
  • Quantity B is greater
  • Quantity A is greater
  • The relationship between Quantity A and Quantity B cannot be determined.
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The Correct Option is D

Solution and Explanation

Step 1: Use the formula for the arithmetic mean.
The formula for the arithmetic mean of four numbers \( a, b, c, d \) is: \[ \frac{a + b + c + d}{4} = 14. \]
Multiplying both sides by 4: \[ a + b + c + d = 56. \]

Step 2: Conclusion. We only know the sum of \( a, b, c, d \), but we do not have enough information to determine how the values compare to 32 or 39. Therefore, we cannot determine the relationship between Quantity A and Quantity B.
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