<p>The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is</p>
Step-by-Step Solution
Key Concept: Mean deviation is calculated as the average of absolute deviations from the mean. First find the mean, then compute |xi - mean| for each value, sum them, and divide by the number of observations.
<p><strong>Step 1: Find the Mean</strong></p><p>Data: 3, 10, 10, 4, 7, 10, 5</p><p>Sum = 3 + 10 + 10 + 4 + 7 + 10 + 5 = 49</p><p>Mean = 49/7 = 7</p><p><strong>Step 2: Calculate Absolute Deviations from Mean</strong></p><p>|3 - 7| = 4</p><p>|10 - 7| = 3</p><p>|10 - 7| = 3</p><p>|4 - 7| = 3</p><p>|7 - 7| = 0</p><p>|10 - 7| = 3</p><p>|5 - 7| = 2</p><p><strong>Step 3: Calculate Mean Deviation</strong></p><p>Sum of absolute deviations = 4 + 3 + 3 + 3 + 0 + 3 + 2 = 18</p><p>Mean Deviation = 18/7 ≈ 2.57</p><p>∴ Answer: B (Mean Deviation = 18/7 or approximately 2.57)</p>
Correct Answer: B