Querying data using partition function

Hi All,
I wrote a query to get data in a particular order but there is some issue because of which i am not 
getting desired result.
create table Cat

(
Product varchar(10),
Loc varchar(10),
DDate  varchar(40),
Price  int
)

insert into Cat values('A','BN','2015-12-02 00:00:00.000',95)
insert into Cat values('A','BN','2015-12-20 00:00:00.000',95)
insert into Cat values('A','BN','2016-03-09 00:00:00.000',93)
insert into Cat values('A','BN','2016-03-18 00:00:00.000',96)


insert into Cat values('A','KL','2015-12-02 00:00:00.000',214)
insert into Cat values('A','KL','2015-12-20 00:00:00.000',184)
insert into Cat values('A','KL','2016-03-09 00:00:00.000',167)
insert into Cat values('A','KL','2016-03-18 00:00:00.000',157)
Please find the images of current output and expected output.
CURRENT O/P:
EXPECTED O/P:
In row number 3 and 4, Rnk should be 1 and 2 instead of 2 and 3.
I wrote the below query to get the desired output but i am not getting the expected output.
select a.Product,a.Loc,b.DDate,a.Mean,b.Price,
case
when b.Price>a.Mean then 'Above'
when b.Price<a.Mean then 'Below'
End,
rank() over(partition by a.Product,a.Loc,

case
when b.Price>a.Mean then 'Above'
when b.Price<a.Mean then 'Below'
End
 order by b.DDate desc) as Rnk


 from Cat b inner join (
select Product,Loc,Avg(Price) as Mean from Cat
group by Product,Loc) a
on a.Product=b.Product and a.Loc=b.Loc

order by a.Product,a.Loc,b.DDate desc
Thanks
Syed