I have sent an enquiry one week ago about why a digital
thermometer seems to have bigger temperature difference,
as comparing to the other more accurate thermometer than
before.

However one of their support staffs replied as below.

"We have an overall 4 degree tolerance so that is considered
accurate."

I then replied by giving an example of forecast.

"If the forecast says the highest temperature will be 20°C
tomorrow but it turns out to be 24°C, then would that be
considered as accurate?"

(I did not mention anything about back yard or if the forecast
must be very accurate close to where I live.)

Then the staff replied as below.

"If the temperature reading is within 4 degrees of one of our
products, or a mercury thermometer, it would be considered
accurate. Please keep in mind, your local forecast is not
always going to be what the temperature is in your back yard.
That could be taken miles from your house. For example, I live
a mile away from the air port and my temperature is always
about 7-10 degrees different than what they have."

If that is the case, I am wondering if anyone would want to
watch such a forecast that has 7-10 degree difference than
where they live.

Please provide some opinions about how many degrees Celsius
of inaccuracy should a thermometer have, and also about
the example of forecast. Thank you.