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AP Statistics

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Advanced Placement Statistics (AP Statistics) is a college-level high school statistics course offered through the College Board's Advanced Placement program. This course is equivalent to a one semester, non-calculus-based introductory college statistics course and is normally offered to juniors and seniors in high school.

One of the College Board's more recent additions,[1] the AP Statistics exam was first administered in May 1997 to supplement the AP program's math offerings, which had previously consisted of only AP Calculus AB and BC.[2] In the United States, enrollment in AP Statistics classes has increased at a higher rate than in any other AP class.[3]

Students may receive college credit or upper-level college course placement upon the successful completion of a three-hour exam ordinarily administered in May. The exam consists of a multiple choice section and a free response section that are both 90 minutes long. Each section is weighted equally in determining the students' composite scores

History

Number of examinees
Year Students
1997[4] 7,667
1998[5] 15,486
1999[5] 25,240
2000[6] 34,118
2001[7] 41,034
2002[8] 49,824
2003[9] 58,230
2004[10] 65,878
2005[11] 76,786
2006[12] 88,237
2007[13] 98,033
2008[14] 108,284

The Advanced Placement program has offered students the opportunity to pursue college-level courses while in high school. Along with the Educational Testing Service, the College Board administered the first AP Statistics exam in May 1997.[2] The course was first taught to students in the 1996-1997 academic year.[15] Prior to that, the only mathematics courses offered in the AP program included AP Calculus AB and BC. Students who didn't have a strong background in college-level math, however, found the AP Calculus program inaccessible and sometimes declined to take a math course in their senior year. Since the number of students required to take statistics in college is almost as large as the number of students required to take calculus, the College Board decided to add an introductory statistics course to the AP program. Since the prerequisites for such a program doesn't require mathematical concepts beyond those typically taught in a second-year algebra course, the AP program's math offerings became accessible to a much wider audience of high school students. The AP Statistics program addressed a practical need as well, since the number of students enrolling in majors that use statistics has grown.[2] A total of 7,667 students took the exam during the first administration, which is the highest number of students to take an AP exam in its first year.[4] Since then, the number of students taking the exam rapidly grew to 98,033 in 2007, making it one of the 10 largest AP exams.[4]

Course

If the course is provided by their school, students normally take AP Statistics in their junior or senior year and may decide to take it concurrently with a pre-calculus course.[1] This offering is intended to imitate a one-semester, non-calculus based college statistics course, but high schools can decide to offer the course over one semester, two trimesters, or a full academic year.[2]

The six-member AP Statistics Test Development Committee is responsible for developing the curriculum. Appointed by the College Board, the committee consists of three college statistics teachers and three high school statistics teachers who are typically asked to serve for terms of three years.[16][17]

Curriculum

Students are expected to be able to interpret graphs, such as this histogram, and analyze its characteristics, including center, spread, shape, outliers, clusters, and gaps.[18]

Emphasis is placed not on actual arithmetic computation, but rather on conceptual understanding and interpretation.[19] The course curriculum is organized around four basic themes; the first involves exploring data[2] and covers 20–30% of the exam. Students are expected to use graphical and numerical techniques to analyze distributions of data, including univariate, bivariate, and categorical data.[18] The second theme involves planning and conducting a study and covers 10–15% of the exam. Students must be aware of the various methods of data collection through sampling or experimentation and the sorts of conclusions that can be drawn from the results.[20] The third theme involves probability and its role in anticipating patterns in distributions of data. This theme covers 20–30% of the exam.[21] The fourth theme, which covers 30–40% of the exam, involves statistical inference using point estimation, confidence intervals, and significance tests.[22]

Exam

See also: Advanced Placement Exams

Along with the course curriculum, the exam is developed by the AP Statistics Test Development Committee as well. With the help of other college professors, the committee creates a large pool of possible questions that is pre-tested with college students taking statistics courses. The test is then refined to an appropriate level of difficulty and clarity.[17] Afterwards, the Educational Testing Service is responsible for printing and administering the exam.[16]

Structure

The exam is offered every year in May.[23] Students are not expected to memorize any formulas. Therefore, a list of common statistical formulas related to descriptive statistics, probability, and inferential statistics are provided. Moreover, tables for the normal and chi-square distributions are given as well.[2] Students are also expected to use graphing calculators with statistical capabilities.[24] The exam is three hours long with ninety minutes allotted to complete each of its two sections: multiple choice and free-response.[25] The multiple choice portion of the exam consists of forty questions with five possible answers each.[26] The free response section contains six open-ended questions that are often long and divided into multiple parts.[26] The first five of these questions may require twelve minutes each to answer and normally relate to one topic or category. The sixth question consists of a broad-ranging investigative task and may require approximately twenty-five minutes to answer.[24]

Grading

AP Statistics exam grade distributions
Year 5 4 3 2 1 Mean
grade
2001[7] 11.5 % 23.4 % 24.9 % 19.1 % 21.1 % 2.85
2002[8] 11.2 % 21.8 % 23.9 % 19.2 % 23.9 % 2.77
2003[9] 13.2 % 22.3 % 26.4 % 19.5 % 18.6 % 2.92
2004[10] 12.6 % 22.4 % 24.8 % 19.8 % 20.3 % 2.87
2005[11] 12.6 % 22.8 % 25.3 % 19.2 % 20.1 % 2.88
2006[12] 12.6 % 22.2 % 25.3 % 18.3 % 21.6 % 2.86
2007[13] 11.9 % 21.5 % 25.4 % 17.1 % 24.1 % 2.80
2008[14] 12.9 % 22.7% 23.7 % 18.8 % 21.8 % 2.86
2009[27]

The multiple choice section is scored immediately after the exam by computer.[23] One point is awarded for each correct answer, one-fourth point is deducted for each incorrect answer, and no points are credited or deducted for unanswered questions.[28]

Students' answers to the free-response section are reviewed in early June by readers that include high school and college statistics teachers gathered in a designated location.[29][23] The readers use a pre-made rubric to assess the answers and normally grade only one question in a given exam. Each question is graded on a scale from 0 to 4, with a 4 representing the most complete response. Communication and clarity in the answers receive a lot of emphasis in the grading.[23]

Both sections are weighted equally when the composite score is calculated.[26] The composite score is reported on a scale from 1 to 5, with a score of 5 being the highest possible.[29]

Notes

  1. ^ a b Mulekar (2004), p. 4
  2. ^ a b c d e f Piccolino, Anthony V. (1996). "The Advanced Placement course in statistics: Increasing students' options". The Mathematics Teacher. 89 (5): 376. {{cite journal}}: Unknown parameter |month= ignored (help)
  3. ^ Boslaugh, Sarah (2008). Statistics: A Desktop Quick Reference. O'Reilly. ISBN 0596510497. Retrieved 2009-07-30. {{cite book}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  4. ^ a b c Hinders (2007), p.3
  5. ^ a b Brumbaugh, Douglas K. (2001). Teaching secondary mathematics. Lawrence Erlbaum Associates. p. 408. ISBN 0805835997. Retrieved July 31, 2009. {{cite book}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  6. ^ Apex Learning. Apex AP Statistics. Kaplan. ISBN 0743201906. Retrieved August 10, 2009.
  7. ^ a b "2001 Advanced Placement Examination National Report" (PDF). College Board. College Board. 2001. Retrieved August 10, 2009.
  8. ^ a b "2002: Statistics Grade Distributions". AP Central. College Board. 2009. Retrieved August 10, 2009.
  9. ^ a b "2003: Statistics Grade Distributions". AP Central. College Board. 2009. Retrieved August 10, 2009.
  10. ^ a b "2004: Statistics Grade Distributions". AP Central. College Board. 2009. Retrieved August 10, 2009.
  11. ^ a b "2005: Statistics Grade Distributions". AP Central. College Board. 2009. Retrieved August 10, 2009.
  12. ^ a b "2006: Statistics Grade Distributions". AP Central. College Board. 2009. Retrieved August 10, 2009.
  13. ^ a b "2007: Statistics Grade Distributions". AP Central. College Board. 2009. Retrieved August 10, 2009.
  14. ^ a b "AP Statistics Student Grade Distributions: AP Examinations - May 2008" (PDF). AP Central. College Board. 2008. Retrieved August 10, 2009.
  15. ^ Garfield, Joan B. (2008). Developing Students' Statistical Reasoning: Connecting Research and Teaching Practice. Springer. p. 8. ISBN 1402083823. Retrieved August 11, 2009. {{cite book}}: Unknown parameter |coauthors= ignored (|author= suggested) (help)
  16. ^ a b Mulekar (2004), p. 3
  17. ^ a b Hinders (2007), p. 4
  18. ^ a b Koehler (2008), pp. 7–9
  19. ^ Mulekar (2004), p. 5
  20. ^ Koehler (2008), pp. 8–9
  21. ^ Koehler (2008), pp. 8, 10
  22. ^ Koehler (2008), pp. 8, 11
  23. ^ a b c d Mulekar (2004), p. 8
  24. ^ a b Simmons (2009), p. 6
  25. ^ Berger (1997), p. 4
  26. ^ a b c Simmons (2009), p. 5
  27. ^ "AP Statistics Student Grade Distributions: AP Examinations - May 2009" (PDF). AP Central. College Board. 2009. Retrieved October 13, 2009.
  28. ^ Berger (1997), p. 5
  29. ^ a b Simmons (2009), p. 7

References

Further reading

Textbooks

Teaching guides

  • Cobb, George (1992). In Steen, Lynn Arthur (ed.). Teaching Statistics: More Data, Less Lecturing. Washington, D.C.: Mathematical Association of America.
  • Gordon, Florence and Sheldon, ed. (1992). "Statistics for the Twenty-First Century". MAA Notes. 26. Washington, D.C.: Mathematical Association of America.
  • Moore, Thomas, ed. (2000). "Teaching Statistics: Resources for Undergraduate Instructors". MAA Notes. 52. Washington, D.C.: Mathematical Association of America.
  • National Council of Teachers of Mathematics (2003). Principles and Standards for School Mathematics (3 ed.). Reston, VA: National Council of Teachers of Mathematics.
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