This study sought to gain an understanding of the current statistical training and support needs for Australian Higher Degree by Research (HDR) students and their supervisors. The data reported herein are based on the survey responses of 191 (18.7%) eligible supervisors from a single Australian institution. The survey was composed of both forced-choice and open-ended items relating to supervisors' background and experience, supervisors' perceptions of their own statistical knowledge, the capabilities of their HDR students and supervisors' attitudes towards the provision of statistical support for HDR students. Most supervisors described themselves as being at either an intermediate or advanced level of statistical experience (74.4%) and were moderately to very confident (72.3%) supervising students in relation to statistical matters. In contrast, supervisors identified a substantial discordance, or gap, between HDR students' statistical knowledge, which they rated at an overall introductory or lower level (76.6%), and a requirement to have at least an intermediate level of statistical knowledge to complete their degree (74.5%). The findings suggest that supervisors perceive HDR students' statistical knowledge to be underdeveloped, that both students and supervisors are likely to benefit from the provision of formal statistics training and that supervisors value access to statistical consultancy services.