The best replacement for statistics is calculus.

The best alternatives to statistics are rated as following:
★★★★★  calculus
★★★★★  parameter
★★★★  probability
★★  college algebra
★★  inferential statistics
★★  parameters
★  biostatistics
★  computer science
★  algebra
★  precalculus
★  descriptive statistics
★  calculus harder
★  mathematics
★  pre calc
★  applied math
★  statistics
★  machine learning
★  economics
★  misleading use of statistics
  calculus first
  ci
  trigonometry
  econometrics
  ap calculus
  mathematics major
  inferential
  data
  data mining
  pre calculus
  gut reaction
  metrics
  indexes
  parametric statistics
  automobile
  nonparametric
  probability distribution statistics
  mechanics
  trigonometry harder
  public school
  business research
  breast cancer
  applied statistics
  research design
  applied mathematics
  statistical inference
  analytics
  measurement
  correlation statistics
  facts
  finite math

Your alternative for statistics is not listed? Suggest!
Speaking about statistics, one probably shouldn't forget about replacement.

Other search terms related to statistics and their ratings are:
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Google Trends

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statistics
calculus
parameter