Major decision guide
Statistics vs Applied Mathematics
Statistics is built around inference under uncertainty: how to design a study, estimate from a sample, and say honestly how wrong the estimate might be. Applied mathematics is built around modelling systems, and reaches for differential equations, numerical analysis and optimisation to do it. Put crudely, statistics starts with data and asks what can be concluded; applied mathematics starts with a system and asks how to describe it.
How each major is officially classified
Both definitions below are the official U.S. Department of Education (NCES) CIP 2020 descriptions — not CampusPin summaries.
CIP 27.0501
Statistics
Official title: Statistics, General · Family: mathematics and statistics
A general program that focuses on the relationships between groups of measurements, and similarities and differences, using probability theory and techniques derived from it. Includes instruction in the principles in probability theory, binomial distribution, regression analysis, standard deviation, stochastic processes, Monte Carlo method, Bayesian statistics, non-parametric statistics, sampling theory, and statistical techniques.
CIP 27.0301
Applied Mathematics
Official title: Applied Mathematics, General · Family: mathematics and statistics
A program that focuses on the application of mathematics to the solution of functional problems in fields such as engineering and the applied sciences. Includes instruction in natural phenomena modeling continuum mechanics, reaction-diffusion, wave propagation, dynamic systems, numerical analysis, controlled theory, asymptotic methods, variation, optimization theory, inverse problems, and applications to specific scientific and industrial topics.
What you actually study
Statistics
- Probability theory and random variables
- Statistical inference: estimation, hypothesis testing, and confidence intervals
- Linear and logistic regression and generalized linear models
- Experimental design and analysis of variance (ANOVA)
- Sampling methods and survey design
- Bayesian methods and computational statistics
- Statistical programming in R, Python, and SAS
Applied Mathematics
- Calculus sequence, real analysis, and linear algebra
- Ordinary and partial differential equations
- Numerical analysis and error control
- Scientific programming in languages such as Python, MATLAB, or C++
- Optimization and variational methods
- Mathematical modeling of physical and engineered systems
- Probability and applied statistics
Where each major leads
The federal CIP–SOC crosswalk maps each academic program to the occupations it is designed to feed. Comparing the two lists shows where Statistics and Applied Mathematics converge and where they part. Every wage below is the BLS 2024 national median for that occupation — not an outcome for the major, and not a starting salary.
Mapped to both (5)
Occupations the federal crosswalk associates with both programs.
$161,180 annual median (2024)
Typically enters with: Bachelor's degree. Employment is projected to grow 3.7% 2024–2034.
$125,770 annual median (2024)
Typically enters with: Bachelor's degree. Employment is projected to grow 21.8% 2024–2034.
$103,300 annual median (2024)
Typically enters with: Master's degree. Employment is projected to grow 8.5% 2024–2034.
$112,590 annual median (2024)
Typically enters with: Bachelor's degree. Employment is projected to grow 33.5% 2024–2034.
Mathematical Science Teachers, Postsecondary
$79,350 annual median (2024)
Typically enters with: Doctoral or professional degree. Employment is projected to grow 2.3% 2024–2034.
Mapped to Statistics only (1)
The crosswalk associates these with Statistics but not with Applied Mathematics. Graduates of either major are still hired into many of them.
$63,380 annual median (2024)
Typically enters with: Master's degree. Employment is projected to decline 5.2% 2024–2034.
Mapped to Applied Mathematics only (2)
The crosswalk associates these with Applied Mathematics but not with Statistics. Graduates of either major are still hired into many of them.
$121,680 annual median (2024)
Typically enters with: Master's degree. Employment is projected to decline 0.7% 2024–2034.
Mathematical Science Occupations, All Other
$71,490 annual median (2024)
Typically enters with: Bachelor's degree. Employment is projected to grow 4.0% 2024–2034.
A major does not restrict you to these occupations, and plenty of graduates work outside them. The mapping describes what each program is built to prepare you for.
Which one tends to suit which student
This part is CampusPin’s judgement, not a measurement. Neither major is better; they suit different temperaments.
Statistics may fit if…
You are drawn to data, experiments and the question of what the evidence actually supports, and you want training that transfers directly into analysis and data-facing work.
Applied Mathematics may fit if…
You like the mathematics itself — proofs, structure, and the machinery of modelling — and you want the flexibility to apply it to physical, biological or financial systems rather than committing to data analysis.
Commonly misunderstood
The two overlap enough that the federal crosswalk associates them with a broadly shared set of occupations, and job titles rarely distinguish them. What differs is the emphasis inside the degree, so compare the required course lists directly rather than the department names.
What to ask each department
Curricula vary far more between institutions than between these two majors. These questions surface the differences that actually matter for this choice.
- 1How much probability theory does each degree require, and is it taught at a measure-theoretic level or an applied one?
- 2Which department teaches the computing and data courses, and how much programming is actually built into the degree?
- 3Does the applied mathematics degree require a full statistics sequence, or is it an elective here?
- 4If I want a data science or statistics master's later, which of the two does this department say its admits come from?
How this comparison was built
The occupation lists come from the official NCES CIP 2020 → SOC 2018 crosswalk, which maps each academic program to the occupations it prepares students for. CampusPin intersects the two programs’ lists to show the shared and distinct destinations; the grouping is arithmetic on a federal dataset, not an editorial ranking.
Wages, projected employment change, and typical entry-level education come from the U.S. Bureau of Labor Statistics and are attached to the occupation, not to the major. A median is the midpoint for everyone in that occupation nationally, including people with decades of experience, so it is not a starting salary and not a promise.
The “which one tends to suit which student” and “what to ask” sections are editorial judgement, labelled as such. CampusPin does not rank majors and takes no position on which is worth more.
Frequently asked questions
- What is the difference between a Statistics and a Applied Mathematics major?
- Statistics is built around inference under uncertainty: how to design a study, estimate from a sample, and say honestly how wrong the estimate might be. Applied mathematics is built around modelling systems, and reaches for differential equations, numerical analysis and optimisation to do it. Put crudely, statistics starts with data and asks what can be concluded; applied mathematics starts with a system and asks how to describe it.
- Do Statistics and Applied Mathematics lead to the same jobs?
- Partly. The federal CIP–SOC crosswalk maps both programs to 5 of the same occupations — including Natural Sciences Managers, Actuaries, Statisticians. It also maps 1 occupation to Statistics that it does not map to Applied Mathematics, and 2 to Applied Mathematics that it does not map to Statistics. A degree is not a restriction — graduates work outside these lists routinely — but the mapping shows where each program is designed to lead.
- Which pays more, Statistics or Applied Mathematics?
- CampusPin does not publish a "higher-paying major" answer, because the data does not support one. BLS reports median wages by OCCUPATION, not by college major, and both of these majors lead to a range of occupations that overlap. The per-occupation medians on this page are the honest version of that question: compare the specific roles you are actually interested in, and remember that pay varies widely by employer, region, and experience.
- Is there anything commonly misunderstood about choosing between Statistics and Applied Mathematics?
- The two overlap enough that the federal crosswalk associates them with a broadly shared set of occupations, and job titles rarely distinguish them. What differs is the emphasis inside the degree, so compare the required course lists directly rather than the department names.
Read the full major guides
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Data sources & methodology
Academic classifications, occupation mappings, and wage figures for Statistics and Applied Mathematics come from federal datasets committed to this site.
Sources used across this page
Not every source informs every figure. Each data point draws on the source appropriate to it see the relevant section and the data dictionary for field-level provenance.
NCES Classification of Instructional Programs (CIP 2020)
Official academic program taxonomy: the code, title, and definition shown for each major.
NCES CIP 2020 → SOC 2018 Crosswalk
The federal mapping from academic programs to occupations. Determines which occupations each major is shown as leading to.
U.S. Bureau of Labor Statistics, Occupational Outlook Handbook
Median annual wage, projected employment change, and typical entry-level education for every occupation named.
IPEDS / NCES College Navigator
Federal enrollment, admissions, tuition, retention, and program data. Released annually with a 1–2 year lag.
Where a value is unavailable it is shown as unavailable, never as 0, free, or a negative judgment. Always confirm final details with the institution before applying.
Suggested citation
CampusPin. Statistics vs Applied Mathematics: How to Choose a Major. Retrieved from https://campuspin.com/compare-majors/statistics-vs-applied-mathematics