Multiple choice

Find, to the nearest tenth , the mean absolute deviation for the set ${2, 5, 7, 9, 1, 3, 4, 2, 6, 7, 11, 5, 8, 2, 4}$.

  1. $2.3$
  2. $1.3$
  3. $2.4$
  4. $1.4$
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A Correct answer
AI explanation

The mean of the 15 values is 84 divided by 15, which equals 5.6. The absolute deviations of each value from this mean are 3.6, 0.6, 1.4, 3.4, 4.6, 2.6, 1.6, 3.6, 0.4, 1.4, 5.4, 0.6, 2.4, 3.6 and 1.6, which sum to 35.2. Dividing this sum by 15 gives a mean absolute deviation of 2.346..., which rounds to the nearest tenth as 2.3.

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