On this page
Formula
2027 exam: Composite = MC × (50 ÷ 42) + (Q1 + Q2 + Q3 + Q4) × 1.25. Older exam: Composite = MC × 1.25 + (Q1 + … + Q5) × 1.875 + Q6 × 3.125. Both are rounded to a whole number out of 100.
- MC
- multiple-choice questions correct — out of 42 on the revised exam, out of 40 on the older exam
- Q1–Q4
- revised exam free-response points, each scored out of 10 (12.5% of the exam each)
- Q1–Q5, Q6
- older exam free-response scores out of 4; Q6 is the investigative task and counts 12.5%, the others 7.5% each
- Composite
- weighted score out of 100, half from multiple choice and half from free response
Two AP Statistics formats, one calculator
AP Statistics was revised for the 2026–27 school year. The exam taken from May 2027 has 42 multiple-choice questions and four free-response questions, each scored out of 10. The exam it replaces had 40 multiple-choice questions, five short free-response questions scored 0–4, and a longer investigative task. Most released free-response questions and practice tests use the older format, so this AP Stats score calculator handles both. Pick the format that matches your practice test and the free-response boxes change to fit.
Whichever you choose, the output is an estimated AP score. College Board weights the sections exactly as described below, then converts the composite with cut points it sets privately for each exam. This AP Stats score calculator copies the weights exactly and borrows the cut ranges from a conversion chart College Board published for a practice exam. That is the most honest estimate available, but it is not a prediction of your official score.
How to use it
- Choose Revised exam (May 2027 onward) or Older exam (May 2026 and earlier).
- Enter how many multiple-choice questions you got right. There is no deduction for wrong answers.
- Score each free-response question with its scoring guidelines and enter the points: 0–10 per question on the revised exam, 0–4 per question on the older one.
- Read the estimated score, the composite out of 100, and how far you are from the next band.
How to calculate an AP Stats score by hand
Both formats split the composite 50–50 between multiple choice and free response on a 100-point scale.
Revised exam. Each multiple-choice question is worth 50 ÷ 42 = 1.1905 points and each free-response point is worth 12.5 ÷ 10 = 1.25. Take a student with 33 multiple-choice answers right and free-response scores of 6, 7, 4 and 5:
- Multiple choice: 33 × 1.1905 = 39.29
- Free response: (6 + 7 + 4 + 5) × 1.25 = 22 × 1.25 = 27.5
- Composite: 39.29 + 27.5 = 66.79, rounded to 67
- 67 is in the 57–69 range, an estimated 4.
Older exam. The 2012 worksheet multiplies multiple choice by 1.25, each of questions 1–5 by 1.875 and the investigative task by 3.125. With 28 multiple-choice answers right, scores of 3, 3, 2, 2 and 1 on questions 1–5, and 2 on the investigative task:
- Multiple choice: 28 × 1.25 = 35
- Questions 1–5: 11 × 1.875 = 20.625
- Investigative task: 2 × 3.125 = 6.25
- Composite: 35 + 20.625 + 6.25 = 61.875, rounded to 62, an estimated 4.
AP Stats score conversion chart (estimated)
These ranges come from the conversion chart printed with College Board’s 2012 AP Statistics practice exam. Because the composite is out of 100, the range is also the percentage of available weighted points.
| Estimated AP score | Composite range (of 100) | College Board description |
|---|---|---|
| 5 | 70–100 | Extremely well qualified |
| 4 | 57–69 | Very well qualified |
| 3 | 44–56 | Qualified |
| 2 | 33–43 | Possibly qualified |
| 1 | 0–32 | No recommendation |
For the revised exam, here are the fewest multiple-choice answers (out of 42) needed for each estimated score at different free-response totals (out of 40). A dash means that score can’t be reached with that free-response total.
| Free-response points | For a 3 | For a 4 | For a 5 |
|---|---|---|---|
| 8 | 29 | 40 | — |
| 12 | 24 | 35 | — |
| 16 | 20 | 31 | 42 |
| 20 | 16 | 27 | 38 |
| 24 | 12 | 23 | 34 |
| 28 | 8 | 19 | 29 |
| 32 | 3 | 14 | 25 |
The pattern is clear: half the score rides on four questions. A student who writes complete, well-communicated free responses can afford a weaker multiple-choice section, and the reverse is much harder.
Where the estimate can go wrong
- Cutoffs move. College Board adjusts the conversion each year so scores mean the same thing across exams. The revised exam has not been scored yet, so its first cutoffs are unknown.
- Self-scoring is generous. Statistics rubrics reward precise communication: naming the procedure, checking conditions, and stating a conclusion in context. Missing any of these costs points that students often award themselves anyway.
- Mixed formats. Entering 10-point scores into the older format, or 0–4 scores into the revised one, gives nonsense. The calculator rejects values above each question’s maximum.
Real-life uses
Teachers use a composite like this to turn a full mock exam into a predicted band and to spot students near the 2–3 or 3–4 boundary. Students use the “points to the next score” line to decide between drilling multiple choice and practicing free-response writing. For AP Psychology, use the AP Psych score calculator. To fold a test result into a class grade, try the test grade calculator.
Glossary
- Composite score: the weighted sum of both sections before conversion to 1–5.
- Analytic scale: a rubric that awards separate points for specific elements of an answer, as on the revised 10-point questions.
- Investigative task: the longer final free-response question on exams through May 2026, weighted 12.5% on its own.
- Cut score: the lowest composite that earns a given AP score on a particular exam.
Worked examples
Revised exam practice test
30 of 42 multiple choice and 7, 6, 5 and 6 points on the four 10-point questions.
Inputs: Exam format = Revised exam, May 2027 onward (42 MC + 4 FRQs of 10 points); Multiple-choice questions correct = 30; Question 1 points = 7 of 10; Question 2 points = 6 of 10; Question 3 points = 5 of 10; Question 4 points = 6 of 10
Multiple choice: 30 × 1.1905 = 35.71 Free response: (7 + 6 + 5 + 6) × 1.25 = 30 Composite: 35.71 + 30 = 65.71 → 66 (rounded) 66 falls in the 57–69 range → estimated AP score 4
Answer: Estimated AP Statistics score: 4 (Very well qualified). Composite 66 of 100 (2027 exam onward) from 30/42 multiple choice and 24/40 free-response points. Cutoffs are estimates.
Older released exam
24 of 40 multiple choice with question scores 3, 2, 2, 1, 2 and an investigative task score of 1.
Inputs: Exam format = Older exam, May 2026 and earlier (40 MC + 6 FRQs of 4 points); Multiple-choice questions correct = 24; Question 1 score = 3 of 4; Question 2 score = 2 of 4; Question 3 score = 2 of 4; Question 4 score = 1 of 4; Question 5 score = 2 of 4; Question 6 (investigative task) score = 1 of 4
Multiple choice: 24 × 1.25 = 30 Free response: (3 + 2 + 2 + 1 + 2) × 1.875 + 1 × 3.125 = 21.88 Composite: 30 + 21.88 = 51.88 → 52 (rounded) 52 falls in the 44–56 range → estimated AP score 3
Answer: Estimated AP Statistics score: 3 (Qualified). Composite 52 of 100 (2026 and earlier exams) from 24/40 multiple choice and 11/24 free-response points. Cutoffs are estimates.
Top of the scale
36 of 42 multiple choice and 32 of 40 free-response points.
Inputs: Exam format = Revised exam, May 2027 onward (42 MC + 4 FRQs of 10 points); Multiple-choice questions correct = 36; Question 1 points = 9 of 10; Question 2 points = 8 of 10; Question 3 points = 8 of 10; Question 4 points = 7 of 10
Multiple choice: 36 × 1.1905 = 42.86 Free response: (9 + 8 + 8 + 7) × 1.25 = 40 Composite: 42.86 + 40 = 82.86 → 83 (rounded) 83 falls in the 70–100 range → estimated AP score 5
Answer: Estimated AP Statistics score: 5 (Extremely well qualified). Composite 83 of 100 (2027 exam onward) from 36/42 multiple choice and 32/40 free-response points. Cutoffs are estimates.
Edge case: no free-response points
A perfect multiple-choice section with all four free responses left blank.
Inputs: Exam format = Revised exam, May 2027 onward (42 MC + 4 FRQs of 10 points); Multiple-choice questions correct = 42; Question 1 points = 0 of 10; Question 2 points = 0 of 10; Question 3 points = 0 of 10; Question 4 points = 0 of 10
Multiple choice: 42 × 1.1905 = 50 Free response: (0 + 0 + 0 + 0) × 1.25 = 0 Composite: 50 + 0 = 50 → 50 (rounded) 50 falls in the 44–56 range → estimated AP score 3
Answer: Estimated AP Statistics score: 3 (Qualified). Composite 50 of 100 (2027 exam onward) from 42/42 multiple choice and 0/40 free-response points. Cutoffs are estimates.
Assumptions and limitations
- Revised exam (course effective fall 2026, first exam May 2027) — 42 multiple-choice questions for 50% of the score and four 10-point free-response questions for 12.5% each, from College Board's AP Statistics Course and Exam Description.
- Older exam (May 2026 and earlier) — 40 multiple-choice questions for 50%, five free-response questions scored 0–4 for 7.5% each, and the investigative task scored 0–4 for 12.5%, matching the multipliers printed on College Board's 2012 AP Statistics scoring worksheet.
- Estimated score ranges come from the conversion chart in College Board's 2012 AP Statistics practice exam, the most recent publicly released one for the course — 70–100 for a 5, 57–69 for a 4, 44–56 for a 3, 33–43 for a 2 and 0–32 for a 1. The same ranges are applied to both formats because both put the composite on a 0–100 scale.
- College Board sets real cut scores for every exam, does not publish them, and has not yet scored a revised exam, so the result is an estimate for practice only.
- The composite is rounded to the nearest whole number before it is compared with the ranges, as the worksheet instructs.
Frequently asked questions
How is the AP Stats exam scored in 2027?
The revised exam has 42 multiple-choice questions worth 50% of the score and four free-response questions worth 12.5% each. Each free-response question is scored on a 10-point analytic scale. College Board weights the two sections, adds them into a composite, and converts the composite to a 1–5 score.
Is there still an investigative task on AP Statistics?
Not on the revised exam that starts in May 2027. Its four free-response questions are weighted equally. The investigative task, worth 12.5% on its own, was question 6 on exams through May 2026, and this calculator keeps that format for older practice tests.
What composite do I need for a 5 on AP Stats?
Using the ranges from College Board's 2012 conversion chart, about 70 out of 100. On the revised exam, 28 of 40 free-response points plus 29 of 42 multiple-choice answers gets there. Real cutoffs differ a little from year to year, so aim above the line.
How much is one free-response point worth on AP Stats?
On the revised exam, 1.25 composite points, a little more than one multiple-choice question, which is worth about 1.19. On the older exam a 1-point gain on questions 1–5 adds 1.875 and on the investigative task 3.125.
Can I use this with released free-response questions from past years?
Yes. Choose the older format, score each question 0–4 with the released scoring guidelines, and enter your multiple-choice count out of 40. For practice material written for the revised course, choose the 2027 format.
Why does my score differ from another AP score calculator?
Calculators use different cutoff tables, and many don't say where theirs come from. This one uses College Board's section weights exactly and the cut ranges from a conversion chart College Board actually published, and it labels the result an estimate.
Sources
- AP Statistics Exam — College Board AP Central. Checked October 10, 2026.
- AP Statistics Course and Exam Description (effective fall 2026) — College Board. Checked October 10, 2026.
- 2012 AP Statistics Practice Exam (scoring worksheet and conversion chart) — College Board. Checked October 10, 2026.
- AP Statistics 2026 Scoring Guidelines (older format, questions 1–6 scored out of 4) — College Board. Checked October 10, 2026.
- AP Score Scale Table — College Board AP Students. Checked October 10, 2026.