  In this paper, we introduce the flexible interpretable gamma (FIG)
distribution which has been derived by Weibullisation of the body-tail
generalised normal distribution. The parameters of the FIG have been verified
graphically and mathematically as having interpretable roles in controlling the
left-tail, body, and right-tail shape. The generalised gamma (GG) distribution
has become a staple model for positive data in statistics due to its
interpretable parameters and tractable equations. Although there are many
generalised forms of the GG which can provide better fit to data, none of them
extend the GG so that the parameters are interpretable. Additionally, we
present some mathematical characteristics and prove the identifiability of the
FIG parameters. Finally, we apply the FIG model to hand grip strength and
insurance loss data to assess its flexibility relative to existing models.
