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Find the mean deviation about the median for the following data set:

3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21.

Solution

✅ Correct Option: 1

Arranged: 3,3,4,5,7,9,10,12,18,19,213, 3, 4, 5, 7, 9, 10, 12, 18, 19, 21. With n=11n = 11, the median is the 6th value, M=9M = 9.

Absolute deviations: 6,6,5,4,2,0,1,3,9,10,126, 6, 5, 4, 2, 0, 1, 3, 9, 10, 12, whose sum is 5858.

Mean deviation =5811≈5.27= \frac{58}{11} \approx 5.27.

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