A k-point mutant of a given RNA sequence s = s(1), ..., s(n) is an RNA sequence s = s(1),..., s(n) obtained by mutating exactly k-positions in s, i.e. Hamming distance between s and s equals k. To understand the effect of pointwise mutation in RNA, we consider the distribution of energies of all secondary structures of k-point mutants of a given RNA sequence.