public static double StandardDeviation(IEnumerable‹double› sequence)
{
    var computation = ComputeSumAndSumOfSquares(sequence);

    var variance = computation.SumOfSquares - computation.Sum * computation.Sum / computation.Count;
    return Math.Sqrt(variance / computation.Count);
}

private static (int Count, double Sum, double SumOfSquares) ComputeSumAndSumOfSquares(IEnumerable‹double› sequence)
{
    double sum = 0;
    double sumOfSquares = 0;
    int count = 0;

    foreach (var item in sequence)
    {
        count++;
        sum += item;
        sumOfSquares += item * item;
    }

    return (count, sum, sumOfSquares);
}