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We analyse the charged${\text -}$particle multiplicity distributions measuredby the ALICE experiment, over a wide pseudorapidity range, for $pp$ collisionsat $\sqrt{s}$=8,\,7\,and\, 2.76~TeV at the LHC.~The analysis offers anunderstanding of particle production in high energy collisions in the purviewof a new distribution, the shifted Gompertz distribution.~Data are comparedwith the distribution and moments of the distributions are calculated.~Amodified version of the distribution is also proposed and used to improve thedescription of the data consisting of two different event classes; theinelastic and the non${\text -}$single${\text -}$diffractive and their subsetsin different windows of pseudorapidity, $\eta$.~The distribution used toanalyse the data has a wide range of applicability to processes in differentfields and complements the analysis done by the ALICE collaboration in terms ofvarious LHC event generators and IP-Glasma calculations.

Charged particle production in $pp$ collisions at $\sqrt{s}$=8, 7 and 2.76 TeV at the LHC -- a case study