Hi Leif,
For the best noise performance, it is recommended to select the lowest possible ODR, set the ±2g range and use both Low Noise (LNOISE bit = 1) and High Resolution (MODS [1:0] = 0b10) modes. For more information please refer to our AN4075.
Hope it helps.
Regards,
Tomas
PS: If my answer helps to solve your question, please mark it as "Correct". Thank you.