Answer: --0.0002795

The skewness is calculated using the formula: $$ \text{Skewness} = \frac{\frac{1}{n} \sum_{i=1}^{n} (x_i - \hat{\mu})^3}{\left[\frac{1}{n} \sum_{i=1}^{n} (x_i - \hat{\mu})^2\right]^{\frac{3}{2}}} $$ Given: - n = 200 - $\sum_{i=1}^{n} (x_i - \hat{\mu})^2 = 774,759.90$ - $\sum_{i=1}^{n} (x_i - \hat{\mu})^3 = -13,476.784$ Step-by-step calculation: 1. Calculate the numerator: $\frac{1}{200} \times (-13,476.784) = -67.38392$ 2. Calculate the denominator: - First, compute $\frac{1}{200} \times 774,759.90 = 3,873.7995$ - Then raise to the power of 3/2: $(3,873.7995)^{3/2} = (3,873.7995)^{1.5}$ - Since $3,873.7995^{1.5} = 3,873.7995 \times \sqrt{3,873.7995}$ - $\sqrt{3,873.7995} \approx 62.239$ - So $3,873.7995 \times 62.239 \approx 241,000$ 3. Final calculation: $\frac{-67.38392}{241,000} \approx -0.0002795$ The value of the skewness is slightly negative and not far from 0, implying the data is symmetrical.

Author: Nikitesh Somanthe