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In this paper we give an elementary approach to several results of Chatterjeein arXiv:0907.3381 and arXiv:1404.7178, as well as some generalizations. First,we prove quenched disorder chaos for the bond overlap in the Edwards-Andersontype models with Gaussian disorder. The proof extends to systems at differenttemperatures and covers a number of other models, such as the mixed $p$-spinmodel, Sherrington-Kirkpatrick model with multi-dimensional spins and diluted$p$-spin model. Next, we adapt the same idea to prove quenched self-averagingof the bond magnetization for one system and use it to show quenchedself-averaging of the site overlap for random field models with positivelycorrelated spins. Finally, we show self-averaging for certain modifications ofthe random field itself.

Some examples of quenched self-averaging in models with Gaussian disorder