Compute the arithmetic mean: Find the average of the five numbers 308, 142, 160, 245, and 25.

Difficulty: Easy

Correct Answer: 176

Explanation:


Introduction / Context:
Simple average computation requires adding all values and dividing by the count. This tests care with multi-digit addition and division by a small integer.


Given Data / Assumptions:

  • Numbers: 308, 142, 160, 245, 25
  • Count = 5


Concept / Approach:
Average = sum of values / number of values. Keep arithmetic neat and double-check totals.


Step-by-Step Solution:

Sum = 308 + 142 + 160 + 245 + 25Sum = 880Average = 880 / 5 = 176


Verification / Alternative check:
Group numbers for easy addition: (308 + 142) = 450, (160 + 245) = 405, plus 25 gives 450 + 405 + 25 = 880. Divide by 5 gives 176.


Why Other Options Are Wrong:

  • 178, 175, 174, 172: all differ from the exact division of 880 by 5.


Common Pitfalls:
Mistakes typically occur in addition. Verifying with regrouping helps avoid carry errors.


Final Answer:
176

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