Final answer:
To calculate the variance of the subjects' weights, square the standard deviation of 11.3377 kg, which results in a variance of 128.5418 kg^2, rounded to four decimal places.
Step-by-step explanation:
The student is asking to find the variance of the weights of a random sample of 10 subjects given that the standard deviation is 11.3377 kg. The variance is calculated by squaring the standard deviation. Therefore, the variance σ2 is (11.3377 kg)2.
Step-by-step calculation:
- Identify the standard deviation (S): 11.3377 kg.
- Square the standard deviation to find the variance (S2): (11.3377 kg)2 = 128.5418 kg2 (rounded to four decimal places).
The variance of the sample data is 128.5418 kg2 when rounded to four decimal places.