By taking the information of high impact weather events of Xi'an city from 2004 January to 2007 October as background, the Fuzzy Mathematics and Polyn omial Fit methods are applied to quantitatively analyze meteorological attention degrees on potential meteorological risks resources and responding people numbe rs of general public. Five potential meteorological risk resources closely relat ed to local general public, i.e. heat wave，thunderstorm，heavy shower，moderate shower and scattered precipitation, and dialing numbers of weather service phon e (named 12121) and other weather information as well are chosen to calculate th e exceedingprobabilities of meteorological risk resources. Then, the three att ention degrees, i.e. ordinary, moderate and high degree, and people numbers are c alculated through 4th degree polynomial fit. It's useful for quantitative judgme nt of policy decisionmaker and general public response to these meteorological risks.