(Corrections requested)
With convenience stores (7-11, etc.) trying to be gas stations, and gas
stations trying to be convenience stores, whatever pump you pull up to, the
business draws power and people.

24 hour stations are the normal here and are located just off a highway (101
or 280). Customers range from those with less cash on hand that only buy
enough to get home (5 minutes at the pump), to those with large (puffy)
trucks or SUVs that swallow 30+ gallons (15 minutes at the pump). 
(Average: 10 minutes at the pump for each customer). 
Midnight to 6 the customer count is less.

Using a station I see when going to my local VA hospital as an example
http://www.sanfrangasprices.com/map_gas_prices.aspx?z=11&lat=37.462992015873&long=-122.224724292755&sid=15611&tl=All

 it has two pumps at each of two islands, each pump can handle a customer on
each side for a total of 8 customers at a time (they are usually always in
use)
https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcRsYDkH1F85Z2d7raR2yj45ADCgKmbnAkN6RDGgzrvxv-CFeJaj8w

Plus there is power drawn for the mini convenience store as well as two
fully functional ice repair-smog bays, each with their own car lifts
http://www.kings76.com/var/m_8/89/891/216858/CACHED_288910-990-500.jpg

I would guesstimate that the station has a 208VAC 100A circuit and in a 24
hour period is on average only using 50% of its capacity:
 208VAC *  100A * .8 * .5 * 24hours = 199.680kWh per day.

8 customers every 10 minutes figuring they have half as many customers from
midnight to 6am:
 8 * 6 * 24hours * .75 = 864

So 200kWh used, serving 864 customers in a 24 hour period.

200kWh / 864 = 0.23kwh per customer in a 24 hour period.




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