you should be consistent in your use of brackets on your loops,  the first two don't use brackets for one-liners but the others do?  **I suggest that you always use brackets**

    for (int i = 0; i < SIZE_OF_GENERIC_ARRAY; i++)
        Array[i] = i + 1;

And 

    for (int i = 2; i < SIZE_OF_FIBONACCI_ARRAY; i++)
        Array[i] = Array[i - 1] + Array[i - 2];


Versus

    for (i = 0; i < SIZE_OF_GENERIC_ARRAY; i++)
    {
        sumOfElements += Array[i];
    }

And 

    for (int i = 0; i < SIZE_OF_GENERIC_ARRAY; i++)
    {
        tempSum += pow((Array[i] - mean(Array, SIZE_OF_GENERIC_ARRAY)), 2);
    }

---

there are other fluke formatting issues which I am sure have something to do with typos or copy paste issues as well...

        if (sequenceType == 'G' || sequenceType == 'g')
       {
           fillGenericArray(SIZE_OF_GENERIC_ARRAY);
           outputMean();
           outputStandardDeviation();
    }

       else if (sequenceType == 'F' || sequenceType == 'f')
       {
           fillFibonacciArray(SIZE_OF_FIBONACCI_ARRAY);
           outputMean();
           outputStandardDeviation();
       }

       else
           cout << "\n"
                << "Invalid input. Please type 'F' or 'G'. Thank you.";


- Carriage returns in between elements of the if statement
- No brackets on the else statement
- Bad indentation on the if statement

this is what it should look like

        if (sequenceType == 'G' || sequenceType == 'g')
        {
            fillGenericArray(SIZE_OF_GENERIC_ARRAY);
            outputMean();
            outputStandardDeviation();
        }
        else if (sequenceType == 'F' || sequenceType == 'f')
        {
            fillFibonacciArray(SIZE_OF_FIBONACCI_ARRAY);
            outputMean();
            outputStandardDeviation();
        }
        else
        {
           cout << "\n"
                << "Invalid input. Please type 'F' or 'G'. Thank you.";
        }


---

I don't know how to code it, but I think it can be done,  you should convert the input to uppercase and then just check for `'G'` or `'F'` it would eliminate an extra check, but at what cost I do not know.

so I would convert the input to upper case and then eliminate the check for a lowercase letter.

    sequenceType = ToUpper[sequenceType];
    if (sequenceType == 'G')
    {
        fillGenericArray(SIZE_OF_GENERIC_ARRAY);
        outputMean();
        outputStandardDeviation();
    }
    else if (sequenceType == 'F')
    {
        fillFibonacciArray(SIZE_OF_FIBONACCI_ARRAY);
        outputMean();
        outputStandardDeviation();
    }
    else
    {
       cout << "\n"
            << "Invalid input. Please type 'F' or 'G'. Thank you.";
    }