SQL command to select list attended people particular month!

Question

I am working in sql server management studio 2008 I applied following query:

 

select * from AllInOneTable2 where Date>='1-03-2016' AND Date<='31-03-2016'

 

This giving me the list of rows but this query also including the 05 month and other month details which I don't want I want only 03 month details. So I stuck here I don't know what is my mistake. Please help and advice experts!