The popularity of apps based on categories is more or less the same between Apple and Android mobile phone users. However, news apps are extremely popular among Android users than among iPhone users. Here are the other categories and their relative popularity among iPhone and Android phone users:

Entertainment
Apple : 38%
Android : 37%

Finance
Apple : 0% (approx.)
Android : 1%

Lifestyle
Apple : 6%
Android : 8%

Navigation and Travel
Apple : 8%
Android : 4%

News and Weather
Apple : 2%
Android : 7%

Productivity
Apple : 2%
Android : 2%

Reference
Apple : 6%
Android : 4%

Social Networking
Apple : 6%
Android : 2%

Utilities and Tools
Apple : 20%
Android : 17%

Games and Miscellaneous
Apple : 14%
Android : 18%

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