Multiple choice

Find the mean deviation about mean of the following data: 22, 18, 16, 32, 30, 24, 26

  1. 4.57

  2. 4.78

  3. 5.02

  4. 5.36

  5. None of these
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A Correct answer
Explanation

Mean = (22+18+16+32+30+24+26) / 7 = 168 / 7 = 24. Mean deviation = sum(|x - mean|) / n = (|22-24| + |18-24| + |16-24| + |32-24| + |30-24| + |24-24| + |26-24|) / 7 = (2 + 6 + 8 + 8 + 6 + 0 + 2) / 7 = 32 / 7 = 4.57.

AI explanation

The mean of the 7 numbers is the sum divided by 7, which is 168 divided by 7, giving 24. The absolute deviations from this mean are 2, 6, 8, 8, 6, 0 and 2. The sum of these absolute deviations is 32, so the mean deviation about the mean is 32 divided by 7, which is 4.57.

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