I have to use temperature and precipitation data from Meteorological Department. I am wondering that how can we know that data which I use is correct or not?
A difficult question! One problem is calibration of instrument, another one is possible change is the time series (due to change of position of the instrument, or change of instrument...). Several options: compare your time series with (various) numerical prediction models, reanalyses or reconstruction of time series (for instance http://berkeleyearth.lbl.gov/); perform statistical tests to detect any autocorrelation of the data or the presence of break points in yours series (by using for instance the Mann-Whitney-Wilcoxon's test or the Student's test...); analyze of diurnal, annual, cycles....
You could contact climate data centers of your country or other countries to obtain the quality-controlled data or even the homogenized data. You could also make a check of the data quality yourself by using some methods as recommended by Tufan or as published in previous works, and could then make a homogenization of the data by using the methods developed in a few groups. Urbanization effect on surface air temperature series or urban bias could be examined and assessed after you have got the homogenized data, but it is not easy to make any adjustment at present.
Not all data are accurate because most of the devicesite used in calculate and detecting climate change are still mechanical and this are prone error analogue pulses are meant to be converted to digital signal which the weather station will used to gather data. Thus some of the data will be missing from the process..
In general, temperature data is easier to work than precipitation, and it depend for what you wil use them. I think as Guoyu Ren that you must contact with the meteorological service of your country home.