For most high power laser with pulse width longer than nano second, the plasma it produced is almost in thermal equilibrium if the wavelength is not too large. The long wavelength lasers allow electrons accelerate to very high energy, so the energy of electrons is much higher than ions. Another case is ultra short pulse, such as femtosecond laser, only electrons can  obtain energy from laser field in common gas or weak ionized initial plasma. 

 For thermal equilibrium plasma, we have classical theory, each particle(molecules, atoms, ions and electrons) has an energy of kT/2 at one freedom degree. For electrons and single atom/ ion, only translation in 3 directions, its energy is  3kT/2. For molecules, they have more freedom degree, hence more energy. rotational energy and viberational  energy. you can read book of Zel'dovech. 

 It depends on the way atoms are ionized. 

so let me assume that a high power laser produced that . and another interesting thing if it is collisional excitation.

Highly ionized plasma is usually a thermal or "hot" plasma, where the high kinetic energies of particles sustain the high degree of ionization. The electrons and ions in a "hot" plasma should be in thermal equilibrium, i.e. the average kinetic energies (temperature) of electrons and ions should be the same.

For non-thermal ("cold") plasma, the electron average kinetic energies (temperature) are close to the ionization energy of given atoms and greater than the ion average kinetic energies.

The ionization energies are different for the different atoms and the ionization state of elements vs temperature (and pressure) is described by the Saha equation (see wiki).