Assuming the month names are in column A and the times in B, then
=SUMIF('Hourly Conversion'!$A:$A,"April", 'Hourly Conversion'!$B:$B)
will SUM all the times for B cells whose corresponding A cell has April
If your Calculations worksheet has the word April in cell A1 then
=SUMIF('Hourly Conversion'!$A:$A, A1, 'Hourly Conversion'!$B:$B)
will do the same
Likewise
=COUNTIF('Hourly Conversion'!$A:$A,"April", 'Hourly Conversion'!$B:$B) or
=COUNTIF('Hourly Conversion'!$A:$A, A1, 'Hourly Conversion'!$B:$B)
will COUNT these cells.
And SUMIF()/COUNTIF() will give the average
best wishes