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the mean for the data 6 7 10 12 13 4 8 12 is
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.
KEAM - 2017
KEAM
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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