What is the method to calculate the standard deviation?

• A. The mean of the data set
• B. The variance of the data set
• C. The square root of the variance
• D. The average absolute deviation

Answer: (C)

To calculate the standard deviation, the method involves taking the square root of the variance. The variance is a measure of how data points differ from the mean. It provides insight into the spread of the data. By squaring the differences between each data point and the mean, and then averaging those squared differences, you arrive at the variance.

Taking the square root of this value transforms the variance back to the original units of the data, giving you the standard deviation. This is critical because it allows you to interpret the measure of dispersion in relation to the data itself.

Thus, the calculation of standard deviation emphasizes the relationship between variance and the actual spread of the dataset, making it a vital step in understanding the variability within that set.