Find the coefficient of the given data sets 7,2,8,11,6,13,16

Solution (population standard deviation assumed):

1. Compute the mean: mean = (7 + 2 + 8 + 11 + 6 + 13 + 16) / 7 = 63 / 7 = 9.

2. Compute squared deviations and their sum: (7-9)^2 = 4, (2-9)^2 = 49, (8-9)^2 = 1, (11-9)^2 = 4, (6-9)^2 = 9, (13-9)^2 = 16, (16-9)^2 = 49; sum = 132.

3. Variance (population) = sum of squared deviations / n = 132 / 7 ≈ 18.857142857.

4. Standard deviation = sqrt(variance) = sqrt(18.857142857) ≈ 4.343064.

5. Coefficient of variation (%) = (standard deviation / mean) × 100 = (4.343064 / 9) × 100 ≈ 48.2563%.

Final answer: approximately 48.26% (rounded to two decimal places). Note: the value 48.22% in the original solution differs only by a small rounding of intermediate values (for example rounding the standard deviation to 4.34 gives 48.22%).