In line with the concept of Smart cities and Smart World, there have been bewildering developments in the field of Internet of Things (IoT) and Big Data Analytics where one most noteworthy territory is that of Smart Health. Private Health data are required to be transmitted over wireless communication systems where the main problem arising is that of data security and privacy. Various algorithms have been implemented to achieve data privacy. In this work, k-anonymity, differential privacy, k-map,-diversity and a hybrid of the three algorithms combined with ℓ-diversity have been analyzed using algorithms running on a raspberry pi (edge) for a breast cancer dataset. The results demonstrated a difference in using stand-alone algorithms in terms of output anonymized dataset, execution time, information loss, risk analysis, and statistical analysis. If solely based on its execution time, the hybrids took less than 20 s in comparison to the stand-alone taking nearly 90 s, leading to conclusion that hybrid algorithms are much more suitable in terms of efficiency. Having the option to share anonymized information quicker will reduce financial and admin costs indicating that hybrids should be the main focus even if all algorithms fulfilled their objective of achieving data privacy.