My daughters temperature is 96.8 and she is only 5. is that considered too low and should i be worried?

Varies: Everyone's body temperature is different .96.8 is low but if you feel good and have no other signs and symptoms , you need not worry but if you are intolerant to cold , heat, tired all the time , feel down etc , you need to get check for thyroid problems.

Accurate temprature : This temprature is most likely not accurate. The most accurate temprature historically has been via the rectal method. But now they can be obtained via the ear, mouth , axilla or forehead. If by ear, wax or wrong angle can result in low temprature. By mouth, recent cold drink or wrong position in mouth will result in a low temprature. Forehead scanners are now commonly used and are accurate.

Probably Normal: Temperatures are often below normal, vary with time of day, body part measured, food consumption, mouth breathing: lower temps more common on tongue and armpit, higher in the ear. Rectal temps are more accurate with core temps . Older people usually have more fixity in their body temperature. Consistent low temperature may suggest under-active thyroid, lower than 95 can suggest illness.