I haven't seen where the type of Acurite "instrument" is discussed. It could be a plain old thermometer, a wired sensing element, or a wireless sensor.
Can you provide a model #?
Can you provide a model #?
It's a wireless sensor. I looked on the back and it said "00611 Made in China." Given the source, perhaps some inaccuracy should be expected.

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On the assumption that it is a tower sensor, my gut feel is that the enclosure is too small to permit proper airflow. The tower sensor should be mounted exposed to the outdoors, yet shielded from the sun and rain.
You might try leaving the enclosure door open, or if the louvers are adjustable, open them up as much as possible.
You might try leaving the enclosure door open, or if the louvers are adjustable, open them up as much as possible.
The louvers aren't adjustable, but leaving the door open might help. Anyway, I think you and the other posters have the right idea that the instrument shelter may be the biggest cause of the skewed readings.
Thanks for all the replies.