Question:

The mean for the data 6, 7, 10, 12, 13, 4, 8, 12 is:

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Pair numbers smartly (small + large) to speed up addition and reduce mistakes.
Updated On: May 1, 2026
  • 9
  • 8
  • 7
  • 6
  • 5
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The Correct Option is A

Solution and Explanation


Concept: The arithmetic mean is: \[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} \]

Step 1:
Find the sum of all values.
\[ 6 + 7 + 10 + 12 + 13 + 4 + 8 + 12 \] Group for easy calculation: \[ (6+4) + (7+13) + (10+12+12) + 8 \] \[ = 10 + 20 + 34 + 8 = 72 \]

Step 2:
Count total observations.
\[ n = 8 \]

Step 3:
Calculate the mean.
\[ \text{Mean} = \frac{72}{8} \] \[ = 9 \]

Step 4:
Final answer.
\[ \boxed{9} \]
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