You can do this in SQL Server using the update/ syntax join:
UPDATE s
SET [Number_Of_Marks] = c.cnt
FROM Results S INNER JOIN
(SELECT ModuleID, count(ModuleID) as cnt
FROM Results
GROUP BY ModuleID
) C
ON S.ModuleID = C.ModuleID;
I assume that you want the count from a subquery, not from an uninitialized variable.
EDIT:
, , . , , . :
UPDATE s
SET [Number_Of_Marks] = c.cnt,
Marks = avgmarks
FROM Results S INNER JOIN
(SELECT ModuleID, count(ModuleID) as cnt, avg(marks * 1.0) as avgmarks
FROM Results
GROUP BY ModuleID
) C
ON S.ModuleID = C.ModuleID;
, marks 1.0. . SQL Server . - .