Since software influences nearly every aspect of everyday life, the security of software systems is more important than ever before. The evaluation of the security of a software system still poses a significant challenge in practice, mostly due to the lack of metrics, which can map the security properties of source code onto numeric values. It is a common assumption, that the occurrence of security vulnerabilities and the quality of the software design stand in direct correlation, but there is currently no clear evidence to support this. A proof of an existing correlation could help to optimize the measurements of program security, making it possible to apply quality measurements to evaluate it. For this purpose, this work evaluates fifty open-source android applications, using three security and seven quality metrics. It also considers the correlations between the metrics. The quality metrics range from simple code metrics to high-level metrics such as object-oriented anti-patterns, which together provide a comprehensive picture of the quality. Two visibility metrics, along with a metric that computes the minimal permission request for mobile applications, were selected to illustrate the security. Using the evaluation projects, it was found that there is a clear correlation between most quality metrics. By contrast, no significant correlations were found using the security metrics. This work discusses the correlations and their causes as well as further recommendations based on the findings.