You make a limit after you make an average. The correct subquery form will be:
(select avg(Positive)
from (SELECT t2.`Positive`
FROM `tbl_DATA_KeywordResults` as t2
WHERE t2.`DateTime` <= t1.`DateTime`
ORDER BY t2.`DateTime` DESC
LIMIT 96
) t
) AS `DailyAverage`
100%, . , MySQL ( where) .
MySQL :
select t1.DateTime, t1.RawData,
avg(case when t2.DateTime between avg_96_dt and t1.DateTime then t2.Positive end) as avg96,
avg(case when t2.DateTime between avg_674_dt and t1.DateTime then t2.Positive end) as avg674
from (SELECT t1.`DateTime`, t1.`Positive` AS `RawData`,
(SELECT t2.DateTime
FROM `tbl_DATA_KeywordResults` t2
WHERE t2.`DateTime` <= t1.`DateTime`
ORDER BY t2.`DateTime` DESC
LIMIT 95, 1
) as avg_96_dt,
(SELECT t2.DateTime
FROM `tbl_DATA_KeywordResults` t2
WHERE t2.`DateTime` <= t1.`DateTime`
ORDER BY t2.`DateTime` DESC
LIMIT 673, 1
) as avg_674_dt
FROM `tbl_DATA_KeywordResults` t1
) t1 join
tbl_DATA_KeywordResults t2
group by t1.DateTime, t1.RawData
ORDER BY t1.`DateTime`;
, .