public static double StandardDeviation(IEnumerable‹double› sequence)
{
    // Step 1: Compute the Mean:
    var mean = sequence.Average();

    // Step 2: Compute the square of the differences between each number 
    // and the mean:
    var squaredMeanDifferences = from n in sequence
                                 select (n - mean) * (n - mean);
    // Step 3: Find the mean of those squared differences:
    var meanOfSquaredDifferences = squaredMeanDifferences.Average();

    // Step 4: Standard Deviation is the square root of that mean:
    var standardDeviation = Math.Sqrt(meanOfSquaredDifferences);
    return standardDeviation;
}