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Statistics
Measures of Dispersion
jee_main_2026_jan_22_shift_1
Grade None

Question:

The mean deviation about the mean for the data 2, 4, 6, 8, 10, 12, 14, 16 is:
A. 3
B. 4
C. 5
D. 6

Step-by-Step Solution

Key Concept: Mean = sum/n, mean deviation = (Σ|x_i - mean|)/n.
Step 1: Mean = (2+4+6+8+10+12+14+16)/8 = 72/8 = 9. 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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