Multiple choice

The mean deviation of the following data from mean is : Class interval 0-5 5-10 10-15 15-20 20-25 Frequency 3 4 8 10 5

  1. $5$
  2. $4$
  3. $6$
  4. $3$
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A Correct answer
Explanation

Midpoints (x): 2.5, 7.5, 12.5, 17.5, 22.5. Frequencies (f): 3, 4, 8, 10, 5. Sum(fx) = 7.5 + 30 + 100 + 175 + 112.5 = 425. Total f = 30. Mean = 425/30 = 14.16. Mean deviation = Sum(f|x - mean|) / Sum(f). Calculations: 3|2.5-14.16| + 4|7.5-14.16| + 8|12.5-14.16| + 10|17.5-14.16| + 5|22.5-14.16| = 35 + 26.6 + 13.3 + 33.4 + 41.7 = 150. 150 / 30 = 5.

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