Find the arithmetic mean of the six numbers: 13, 17, 25, 11, 26, and 10.

Difficulty: Easy

Correct Answer: 17

Explanation:


Introduction / Context:
The arithmetic mean is a fundamental measure of central tendency. Correctly summing values and dividing by the count provides the exact average.


Given Data / Assumptions:

  • Values: 13, 17, 25, 11, 26, 10
  • Number of terms = 6


Concept / Approach:
Average = total sum / number of terms. Keep addition accurate to avoid minor slips that can change the result.


Step-by-Step Solution:

Sum = 13 + 17 + 25 + 11 + 26 + 10 Compute pairs: (13 + 17) = 30; (25 + 11) = 36; (26 + 10) = 36 Total sum = 30 + 36 + 36 = 102 Average = 102 / 6 = 17


Verification / Alternative check:
Add linearly: 13 + 17 = 30; +25 = 55; +11 = 66; +26 = 92; +10 = 102; 102 / 6 = 17. Matches paired-sums method.


Why Other Options Are Wrong:

  • 20 and 25: Both exceed the maximum-limited mean for these values.
  • 15: Below the computed mean; indicates an addition or division slip.
  • None of these: An exact correct option exists (17).


Common Pitfalls:
Dropping a term or mis-adding one pair, which shifts the total and leads to a wrong average.


Final Answer:
17

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