Prem Narain (1991) developed composite index using Z-Score and device methodology to compute composite index. Narain et al (2007) modified the earlier index by weighing the deviations inversely proportional to coefficient of variation and evaluated the disparities in the level of development amongst various districts. In this paper modification is suggested: weights of coefficient of variation is taken and weighing the deviations inversely proportional to weights of coefficient of variation.