Marks obtained by 6 students are 6, 8, 10, 12, 4, 20. Find the co-efficient of dispersion?

Marks obtained by 6 students are 6, 8, 10, 12, 4, 20. Find the co-efficient of dispersion?

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