Multiple choice

Mean deviation of $6, 8, 12, 15, 10, 9$ through mean is:

  1. $10$
  2. $2.33$
  3. $2$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Mean = (6+8+12+15+10+9)/6 = 60/6 = 10. Mean deviation = (|6-10| + |8-10| + |12-10| + |15-10| + |10-10| + |9-10|) / 6 = (4 + 2 + 2 + 5 + 0 + 1) / 6 = 14/6 = 2.33.

AI explanation

First, calculate the arithmetic mean of the six numbers by dividing their sum of 60 by 6, yielding a mean of 10. The absolute deviations of the values from this mean are 4, 2, 2, 5, 0, and 1. Find the sum of these absolute deviations, which is 14, and divide by the number of observations 6 to get a mean deviation of 2.33.

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