Multiple choice

The given sample is: 140, 120, 160, 200, 110, 180, 220, 130 Find mean deviation about median.

  1. 36.5

  2. 35.2

  3. 33.6

  4. 32.5

  5. None of these
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D Correct answer
Explanation

The data sorted: 110, 120, 130, 140, 160, 180, 200, 220. Median is (140+160)/2 = 150. Deviations from 150: 40, 30, 20, 10, 10, 30, 50, 70. Sum = 260. Mean deviation = 260 / 8 = 32.5.

AI explanation

Arrange the data in ascending order: 110, 120, 130, 140, 160, 180, 200, 220. The median is the average of the 4th and 5th values, which is (140 plus 160) divided by 2, equaling 150. The absolute deviations from 150 are 40, 30, 20, 10, 10, 30, 50, 70, and their sum is 260. The mean deviation about the median is 260 divided by 8, which is 32.5.

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