We model the observed vertical distribution of the neutral hydrogen ( H i ) in the faint ( M _ { B } \sim - 13.7 mag ) edge-on dwarf irregular galaxy KK250 . Our model assumes that the galaxy consists of axi-symmetric , co-planar gas and stellar discs in the external force-field of a spherical dark matter halo , and in vertical hydrostatic equilibrium . The velocity dispersion of the gas is left as a free parameter in the model . Our best fit model is able to reproduce the observed vertical distribution of the H i gas , as well as the observed velocity profiles . The best fit model has a large velocity dispersion ( \sim 22 kms ^ { -1 } ) at the centre of the galaxy , which falls to a value of \sim 8 kms ^ { -1 } by a galacto-centric radius of 1 kpc , which is similar to both the scale-length of the stellar disc , as well as the angular resolution of the data along the radial direction . Similarly we find that the thickness of the H i disc is also minimum at \sim 1 kpc , and increases by about a factor of \sim 2 as one goes to the centre of the galaxy or out to \sim 3 kpc . The minimum intrinsic HWHM of the H i vertical distribution in KK250 is \sim 350 pc . For comparison the HWHM of the vertical distribution of the H i in the solar neighbourhood is \sim 70 - 140 pc . Our results are hence consistent with other observations which indicate that dwarf galaxies have significantly puffier gas discs than spirals .