Standard deviation on average weighted price

I created a new table. You would probably not actually need to create this table in the model, but it would be used in the measures since you need to pass a column to the standard deviation function. 

Test Table = 
    ADDCOLUMNS(
        ADDCOLUMNS(
            SUMMARIZE( Table5, Table5[Market], Table5[Date]),

            /* Returns the total quantity of the specific market */
            "Total Quanitity for Specific Market", CALCULATE(SUM( Table5[Quantity]), ALLEXCEPT(Table5, Table5[Market])),

            /* Returns the total quantity, regardless of the market */
            "Total Qty for All Markets", SUM( Table5[Quantity]),

            /* Price * Quanitity Measure */
            "Total Sold (Price * Quantity)", CALCULATE( SUMX( Table5, Table5[Price] *Table5[Quantity]))
        ),
        /* Using the Price * Quantity measure, the denonminator is either the total sold for the specific market, or the grand total of quantity*/
        "Weighted Price Based on Total of All Qty",DIVIDE([Total Sold (Price * Quantity)] , [Total Qty for All Markets]),
        "Weighted Price Based on Qty of Market",DIVIDE([Total Sold (Price * Quantity)] , [Total Quanitity for Specific Market])
        )

Here's an explanation on what is happening in that function. Maybe a little closer to what you had in mind?