Measurement of quality of service (QoS) parameters and its statistical analysis becomes a key issue for Mobile WiMAX service providers to manage the network efficiently and to support end-to-end quality of experience (QoE). On the other hand, for the measurement of QoS parameters, economy (memory space), timelines and accuracy are the primary concerns. Therefore, it is necessary for the service provider to have a confidence level about the parameter with small size of samples. This paper proposes the analysis for minimum number of samples to have a certain confidence level for the QoS parameter of the Mobile WiMAX Network. The sampled data is analyzed with "Chi-Square Goodness-of-Fit Test, Kolmogorov-Smirnov and Anderson-Darling test " to test the distribution of parent population and then confidence level with minimum number of samples is discussed.