Average after fixed interval and Group By in SQL - group-by

Question

Is it possible to Average after every fixed interval and group by one column in MSSQL ?
Suppose I have a table A as under:
NAME Interval Data1 Data2
1 0.01 1 4
1 0.05 4 2
1 0.09 7 6
1 0.11 1 2
1 0.15 7 6
1 0.18 3 1
1 0.19 2 5
2 0.209 9 0
I want the Output to group by Name and run average every 10 counts.
So for expamle
Name - 1
Interval Start - 0
Interval End - 10
Data 1 Avg - 4 [(1 + 4 + 7) / 3]
Data 3 Avg - 4 [(4 + 2 + 6) / 3]
AND
Name - 1
Interval Start - 10
Interval End - 20
Data 1 Avg - 3.25 [(1 + 7 + 3 + 2) / 4]
Data 3 Avg - 3.50 [(2 + 6 + 1 + 5) / 4]
So I want the Ouput as below. The interval per "Name" column is different.
Name Interval-Start Interval-End DataAvg1 DataAvg2
1 0 10 4 4
1 10 20 3.25 3.50
2 0 10 0 0
2 10 20 0 0
2 20 30 9 0
I used the below query, but cant figure out logic per interval.
SELECT Name, Interval, AVG(Data1) AS Data1Avg, AVG(Data2) AS Data2Avg
FROM TableA
GROUP BY Name;
Can someone please help me with it.

Answer 1

using cursor and temp table
--drop table dbo.#result
--drop table dbo.#steps
CREATE TABLE dbo.#result
(
[Name] varchar(50),
[Interval-Start] float,
[Interval-End] float,
[DataAvg1] float,
[DataAvg2] float
)
CREATE TABLE dbo.#steps
(
[IntervalStart] float,
[IntervalEnd] float
)
declare #min int, #max int, #step float
DECLARE #Name varchar(50), #IntervalStart float, #IntervalEnd float;
set #min = 0
set #max = 1
set #step = 0.1
insert into #steps
select #min + Number * #step IntervalStart, #min + Number * #step + #step IntervalEnd
from master..spt_values
where type = 'P' and number between 0 and (#max - #min) / #step
DECLARE _cursor CURSOR FOR
SELECT [Name], [IntervalStart], [IntervalEnd] FROM
(select [Name] from [TableA] Group by [Name]) t
INNER JOIN #steps on 1=1
OPEN _cursor;
FETCH NEXT FROM _cursor
INTO #Name, #IntervalStart, #IntervalEnd;
WHILE ##FETCH_STATUS = 0
BEGIN
insert into dbo.#result
select #Name, #IntervalStart, #IntervalEnd, AVG(CAST(Data1 as FLOAT)), AVG(CAST(Data2 as FLOAT))
FROM [TableA]
where [NAME] = #Name and Interval between #IntervalStart and #IntervalEnd
FETCH NEXT FROM _cursor
INTO #Name, #IntervalStart, #IntervalEnd;
END
CLOSE _cursor;
DEALLOCATE _cursor;
select * from dbo.#result