Marks obtained by 6 students are 6, 8, 10, 12, 4, 20. Find the co-efficient of dispersion?
- 0.1
- 0.4
- 0.2
- None of these
Explanation
Step 1: Calculate the mean of the marks.
Mean = (6 + 8 + 10 + 12 + 4 + 20) / 6
= 60 / 6
= 10
Step 2: Calculate the mean deviation.
Mean Deviation = (|6-10| + |8-10| + |10-10| + |12-10| + |4-10| + |20-10|) / 6
= (4 + 2 + 0 + 2 + 6 + 10) / 6
= 24 / 6
= 4
Step 3: Calculate the coefficient of dispersion.
Coefficient of Dispersion = Mean Deviation / Mean
= 4 / 10
= 0.4
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