Instead of choosing one over other, I compared the career options for both masters in statistics and masters in Data Science. Masters in Data Science degree course outline will be having Data Analysis, Machine Learning, Deep learning, Statistical Theory, programming languages, Data Visualization.
Data Science offers career options like data analyst, management analyst, financial analyst, operations analyst, and data scientist.
Masters in Statistics degree course outline will be having Calculus, Mathematics, Statistics, and Statistical Modelling.
Statistics degree offers careers in government-related jobs, Research and Development in the private sector, teaching in educational institutions. You can get jobs like a mathematical statistician, biostatistician, and research assistant.
I suggest watching this video on Statistics for Data Science to learn the fundamentals of Statistics using R: