Final answer:
The calculation of standard deviation for a sample requires information on the variability of individual data points, which is missing from the provided details. Consequently, it is not possible to calculate the standard deviation or confirm any of the provided answer options as correct without additional information.
Step-by-step explanation:
Standard Deviation Calculation of a Sample
Given the information that the sample size is 350 and the population size is 3,906 with a sum of 4,491,179, we can follow the necessary steps to determine the standard deviation of the sample. However, the crucial piece of information required to calculate the standard deviation is missing - we need the individual data points of the sample or the sum of squares of the sample. Without this, it is not possible to calculate the standard deviation accurately.
To calculate the standard deviation of a sample, you would typically use the formula:
- Calculate the sample mean by dividing the sum of the sample by the sample size.
- Subtract the sample mean from each data point and square the result to find the squares of the differences.
- Sum up all the squares of the differences.
- Divide by the sample size minus one to get the sample variance.
- Take the square root of the sample variance to obtain the standard deviation.
Importantly, the correct calculation of standard deviation requires information on the variability of individual data points within the sample, which is not provided in the given details. Unfortunately, with the given data, we cannot proceed to calculate the standard deviation, and none of the answer options can be confirmed as correct without additional information.