Nine populations of sixty-eight individuals representing the distribution of Petrophytum caespitosum (Nutt.) Rydb. (Rosaceae) in the Intermountain Region were investigated for taxonomically significant variation using numerical techniques. On the basis of 19 morphological characters 3 subspecific taxa are recognized. Two taxa are existing subspecies: P. caespitosum (Nutt.) Rydb. var. caespitosum and P. caespitosum (Nutt.) Rydb. var. elatius (S. Wats.) Tides. One new subspecies is described: P. caespitosum (Nutt.) Rydb. var. latifolium. The ecology of the species is discussed. The floral and vegetative anatomy are described. Chromosome counts of 3 populations have given n = 9. A list of herbarium material is given. The numerical analyses were run on an IBM S/360 computer using standardized data to find the coefficients of correlation between individuals of the same population and the coefficients of correlation between pairs of populations. The results of the numerical analyses agree with more traditional methods.