Answer: -0.0002774

The skewness is calculated using the formula: $$ \frac{\hat{\mu}^3}{\hat{\sigma}^3} = \frac{\frac{1}{n} \sum_{i=1}^{n} (x_i - \hat{\mu})^3}{\left[ \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \hat{\mu})^2 \right]^{3/2}} = \frac{\frac{1}{200}(-13,476.784)}{\left[ \frac{1}{200-1} \times 774,759.90 \right]^{3/2}} = -0.000274 $$ Given: - n = 200 - Sum of squared deviations = 774,759.90 - Sum of cubed deviations = -13,476.784 The calculation shows the skewness is approximately -0.000274, which matches option A (-0.0002774) most closely. The slight negative value indicates the data is nearly symmetrical with a very small left skew.

Author: Tanishq Prabhu