Multiple choice

Mean deviation from median of the data $90, 100, 125, 115, 110$ is?

  1. $10$
  2. $20$
  3. $30$

  4. None of these
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A Correct answer
Explanation

Data: 90, 100, 110, 115, 125. Median = 110. Deviations: |90-110|=20, |100-110|=10, |110-110|=0, |115-110|=5, |125-110|=15. Sum = 20+10+0+5+15 = 50. Mean deviation = 50/5 = 10.

AI explanation

Arrange the data in ascending order as 90, 100, 110, 115, and 125 to find the middle value, which is a median of 110. The absolute deviations of the observations from this median are 20, 10, 0, 5, and 15. Add these deviations to get a sum of 50, and divide by the total count of 5 to get a mean deviation of 10.

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