Calculating air density from a barometer?

[toroid]

Homework Statement

Working on a lab report, where we are asked to calculate the density of air.

Ambient Temperature: 19°C
Barometer (mm Hg abs): 765
There were two correction factors: 2.35 and 2.41

How do I use the above information to find the Air Density (kg/m3) ?
What are the correction factors? And, why did we take two correction factors?

Homework Equations

I know that: 1mm Hg = 133 Pa; and μ=1.8*10^-5 Nsm^-2

σ=δ/θ where δ=p_ambient/p_sls and θ=T_ambient/T_sls
We know that:
ρ_sls=1.225 kgm^(-3)
p_sls=760 mm Hg abs
T_sls=288 K (15°C)

Hence:
δ=p_ambient/(1.225 kgm^(-3) )= and θ=T_ambient/(288 K) =
Thus:
σ=δ/θ= δ/θ=

The Attempt at a Solution

Using ρ=p/(RT)

where T=292.15 K, R=0.287, p=101,745 Pa

But I just don't know how to use the correction factors. Should I take an average of both of them? Should I have two air densities?
Any help you make have would be much appreciated.
Thanks

 

[Spinnor]

I think there might be correction factors for humidity and altitude which might be in mm of Hg?