MSSQL Running IN OUT count Record - sql-server-2008-r2

Question

I'm trying to create a report that counts how many people are signed into a section or signed out of a section each day.
select inout.name_id, nametable.name, inout.datetime, inout.status, inout.section
from inout
join nametable on inout.name_id = nametable.name_id
where inout.date between '1/1/2016' and '1/3/2016'
order by inout.date
Sample Data:
Datetime Name Section Status
1/1/2016 1:34:56 John A IN
1/1/2016 4:11:11 Steve A OUT
1/1/2016 18:20:20 Bill A IN
1/2/2016 13:13:13 John A OUT
1/2/2016 12:12:12 Ben A IN
1/3/2016 1:01:01 JIM A IN
Then final result:
Date # of people in section
1/1/2016 2
1/2/2016 2
1/3/2016 3
EDIT: Was thinking IN status would give +1 to a running count and OUT would give -1, so if a person came into work or left work for the day i could see how many people are working in a specific section each day, I'm not quite sure how to show for the people that were there before that date range either though.

Answer 1

This is not an answer, but may help others to visualize and may inspire you (but i think you did try it):
Use the query you have posted.
In Crystal designer, create a group by the column 'Datetime'.
Create a formula: if {inout.status} = "IN" then 1 else -1. Let's say it's name is #Quantifier.
Create a running total field: field to summarize = #Quantifier, type of summary = sum, evaluate for each record, reset never. Let's call it #NumberOfPeopleInSection_CloseButNoCigar.
Put the running total field in the group footer.
The result, as you said you expected, is not really what you want, because there is this "Steve out" without a previous "Steve in". So it still needs a trick.
To turn it in a solution, you may try another query to get the initial count. Try something to:
select sum(case when status='IN' then 1 else -1 end)
from inout
join nametable on inout.name_id = nametable.name_id
where inout.datetime < '2016-1-1'
Then consider this initial value in the final result.