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Statistics

Measures of Dispersion

jee_main_2026_april_5_shift_1

Grade 12

Question:

The mean deviation about the mean for 3, 5, 7, 9, 11, 13, 15, 17 is:

A. 3.5

B. 4

C. 4.5

D. 5

Step-by-Step Solution

Key Concept: Find mean, then sum of absolute deviations divided by n.

Step 1: Mean = (3+5+7+9+11+13+15+17)/8 = 80/8 = 10. Step 2: Absolute deviations: 7,5,3,1,1,3,5,7. Sum = 32. Step 3: Mean deviation = 32/8 = 4.

Correct Answer: B

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