Step-by-Step Solution
Key Concept: Variance measures the average squared deviation from the mean. Calculate the mean first, find squared deviations for each data point, then average them.
<p><strong>Step 1:</strong> Find the mean of the data set {2, 4, 6, 8, 10}</p><p>Mean = (2 + 4 + 6 + 8 + 10)/5 = 30/5 = 6</p><p><strong>Step 2:</strong> Calculate squared deviations from the mean</p><p>(2-6)² = 16</p><p>(4-6)² = 4</p><p>(6-6)² = 0</p><p>(8-6)² = 4</p><p>(10-6)² = 16</p><p><strong>Step 3:</strong> Find the average of squared deviations</p><p>Variance = (16 + 4 + 0 + 4 + 16)/5 = 40/5 = 8</p><p>∴ Answer: C (Variance = 8)</p>
Correct Answer: C