Final answer:
The variance is the square of the standard deviation, s² = (11.4963 kg)² = 132.2048 kg². The closest option provided is b) s² = 132.3531s kg².
Step-by-step explanation:
The question asks us to calculate the variance given the standard deviation. Variance (s²) is the square of the standard deviation (s). The provided standard deviation is s = 11.4963 kg. To find the variance, we square the standard deviation:
s² = (11.4963 kg)² = 132.20478489 kg²
When rounded to nearest ten-thousandth as per the options provided, we get s² = 132.2048 kg². However, none of the answer choices exactly match this value. But the closest one, considering possible rounding errors, is:
b) s² = 132.3531s kg²