Temperature-height profiles T (Z) computed from density-height profiles p (Z) usually have much smaller uncertainties than those computed from pressure-height profiles p (Z), when p (Z) and p (Z) are measured with equal relative uncertainties Δp/p or Δp/p, respectively. For a fixed value of Δp/p the value of ΔT/T, the relative uncertainty in the derived temperature, is inversely proportional to the sampling-height interval Δh, the height between successive pressure or density observations. Since Δh may vary over many orders of magnitude, the value of ΔT/T derived from pressure data may vary over a range which also extends over many orders of magnitude. For temperatures computed from p (Z), however, the inverse dependence of ΔT/T upon Δh essentially vanishes for Δh smaller than about 1.5 km, so that for this regime of Δh, ΔT/T?Δp/p. A complex graph relates ΔT/T to Δh and to T for each of nine values of Δp/p, i.e., 100%, 30%, 10%, 3%,⋅⋅⋅, 0.03% and 0.01%. Another complex graph relates ΔT/T to Δh and to T for a similar set of nine values of Δp/p. A comparison of these two graphs demonstrates the advantages of deriving temperature-height profiles from p (Z) rather than from p (Z).