The phrase "some discrepancy between" is correct and usable in written English.
You can use it to indicate that there is a difference or divergence between two things. For example: "While we conducted our research, we noticed some discrepancy between the data from our interviews and the results of the survey."
There seemed some discrepancy between the gangster myth - "the most dangerous criminal the world has ever seen" - and the reality.
"We try to open up some discrepancy between the ironclad story they're telling about their life and have them consider the possibility of something different," explains Ramniceanu.
Most high-rise apartment buildings, it seems, have some discrepancy between the numbers on the elevator buttons and the number of flights one would climb if unlucky enough to have to take the stairs.
Some discrepancy between a public figure's professional persona and private self is normal, but James turns out to be even more like Clive James than the one we have known for nearly 40 years - humorist, critic, poet, presenter, polyglot and prolific polymath.
There is some discrepancy between observer hue and physical measurement hue for shallow oloroso.
Some discrepancy between measured and calculated energies (see Figure 3) is due to violation of axial approximation.
But since output doodles are limited to the data set, there can be some discrepancy between what the camera "sees" and what it generates for the photo.
Although there is some discrepancy between the experimental and theoretical results at tight nominal bend radii, the overall correlation is surprisingly good.
Research across a number of disease-states has shown there is some discrepancy between how clinicians and "patients" rate their life situation.
Some discrepancy between the results from infrared and AFM data is explained in terms of optical absorption of the crystal, which is neglected in the transmittance model.
