That is strange. Daily Plate estimated mine at 1550 which is exactly where I should be for 5'4" and 204 lbs at 26 yrs old to lose 1-2 lbs a week. Fit Day could never quite get my calorie range right. I just popped over there to double check and they have me at 2200 cals a day to lose 1.2 lbs a week. YIKES!
When deciding my calorie intake, double check all over the web for recommended calorie intake, and then choose an estimate/average. Here is what I found from several sites, given your stats:
Maintenance: 2246 Calories/day
Fat Loss Range: 2128 Calories/day
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To lose 1 lb per week: 2104.30 calories/day
http://www.hpathy.com/healthtools/calories-need.asp
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CalorieControl.com says eat 2440 to maintain your current weight, so if you subtracted 500 from that, you'd be around 1900.
http://www.caloriecontrol.org/calcalcs.html
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Ahealthyme.com says "To lose about one pound per week, you'll need to cut back to 1,925 calories per day. "
http://www.ahealthyme.com/topic/calneed
Given that information, I think anywhere between 1900 and 2000 cals a day is a good range.