Final answer:
The standard deviation of a sample with a variance of 676 is the square root of 676, which results in a standard deviation of 26.
Step-by-step explanation:
The variance of a sample is the square of the standard deviation. To find the standard deviation, we take the square root of the variance.
Given that the variance of a sample of 196 observations equals 676, the standard deviation (σ) is the square root of 676, which is:
σ = √676 = 26
Therefore, the standard deviation of the sample is 26.