Statistics

Question

The arithmetic mean of data set 2, 4, 6, 8, 10 is

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1. **Definition of Mean**: The arithmetic mean (average) is the sum of all observations divided by the total number of observations.
2. **Identify Data**: $X = \{2, 4, 6, 8, 10\}$, so $n = 5$.
3. **Summation**:
   - $\sum X = 2 + 4 + 6 + 8 + 10 = 30$.
4. **Calculation**:
   - $Mean (\bar{x}) = \frac{30}{5} = 6$.
5. **Observation**: In a symmetric AP, the mean is always the middle term.

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