HOME

TheInfoList



OR:

Advanced Placement (AP) Statistics (also known as AP Stats) is a college-level
high school A secondary school, high school, or senior school, is an institution that provides secondary education. Some secondary schools provide both ''lower secondary education'' (ages 11 to 14) and ''upper secondary education'' (ages 14 to 18), i.e., ...
statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
course offered in the United States through the
College Board The College Board, styled as CollegeBoard, is an American not-for-profit organization that was formed in December 1899 as the College Entrance Examination Board (CEEB) to expand access to higher education. While the College Board is not an asso ...
's
Advanced Placement Advanced Placement (AP) is a program in the United States and Canada created by the College Board. AP offers undergraduate university-level curricula and examinations to high school students. Colleges and universities in the US and elsewhere ...
program. This course is equivalent to a one semester, non-
calculus Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the ...
-based introductory college statistics course and is normally offered to sophomores, juniors and seniors in high school. One of the College Board's more recent additions,Mulekar (2004), p. 4 the AP Statistics exam was first administered in May 1996 to supplement the AP program's math offerings, which had previously consisted of only AP Calculus AB and BC. In the United States, enrollment in AP Statistics classes has increased at a higher rate than in any other AP class. Students may receive college credit or upper-level college course placement upon passing the 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

The Advanced Placement program has offered students the opportunity to pursue college-level courses while in high school. Along with the
Educational Testing Service Educational Testing Service (ETS), founded in 1947, is the world's largest private educational testing and assessment organization. It is headquartered in Lawrence Township, Mercer County, New Jersey, Lawrence Township, New Jersey, but has a P ...
, the College Board administered the first AP Statistics exam in May 1997. The course was first taught to students in the 1996-1997
academic year An academic year, or school year, is a period that schools, colleges and university, universities use to measure the duration of studies for a given educational level. Academic years are often divided into academic terms. Students attend classe ...
. 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 Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...
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. A total of 7,667 students took the exam during the first administration, the highest number of students to take an AP exam in its first year.Hinders (2007), p.3 Since then, the number of students taking the exam rapidly grew to 98,033 in 2007, making it one of the 10 most popular AP exams.


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 In mathematics education, precalculus is a course, or a set of courses, that includes algebra and trigonometry at a level that is designed to prepare students for the study of calculus, thus the name precalculus. Schools often distinguish betwe ...
course. 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 An academic year, or school year, is a period that schools, colleges and university, universities use to measure the duration of studies for a given educational level. Academic years are often divided into academic terms. Students attend classe ...
. 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.Mulekar (2004), p. 3Hinders (2007), p. 4


Curriculum

Emphasis is placed not on actual arithmetic computation, but rather on conceptual understanding and interpretation.Mulekar (2004), p. 5 The course curriculum is organized around four basic skills; the first involves selecting statistical methods and covers 15–23% of the exam. Students are expected to choose methods for analyzing data for
statistical inference Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution.Upton, G., Cook, I. (2008) ''Oxford Dictionary of Statistics'', OUP. . Inferential statistical analysis infers properties of ...
. The second skill involves data analysis and covers 15-23% of the exam. Students must describe patterns, associations, and relationships in data. The third theme involves
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
and
simulations A simulation is an imitative representation of a process or system that could exist in the real world. In this broad sense, simulation can often be used interchangeably with model. Sometimes a clear distinction between the two terms is made, in ...
. This theme covers 30–40% of the exam. The fourth theme, which covers 25–35% of the exam, involves statistical argumentation by explaining or justifying conclusions using evidence from data or statistical inference. There are nine units of AP Statistics. The percentage indicates the portion of the multiple-choice section of the exam focused on each content area.


Exam

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. Afterwards, the Educational Testing Service is responsible for printing and administering the exam.


Structure

The exam is offered every year in May.Mulekar (2004), p. 8 Students are not expected to memorize any formulas; rather, a list of common statistical formulas related to
descriptive statistics A descriptive statistic (in the count noun sense) is a summary statistic that quantitatively describes or summarizes features from a collection of information, while descriptive statistics (in the mass noun sense) is the process of using and an ...
,
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
, and
inferential statistics Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution.Upton, G., Cook, I. (2008) ''Oxford Dictionary of Statistics'', OUP. . Inferential statistical analysis infers properties of ...
is provided. Moreover, tables for the normal,
Student's t In probability theory and statistics, Student's  distribution (or simply the  distribution) t_\nu is a continuous probability distribution that generalizes the standard normal distribution. Like the latter, it is symmetric around zero ...
and
chi-squared distribution In probability theory and statistics, the \chi^2-distribution with k Degrees of freedom (statistics), degrees of freedom is the distribution of a sum of the squares of k Independence (probability theory), independent standard normal random vari ...
s are given as well. Students are also expected to use graphing calculators with statistical capabilities. The exam is three hours long with ninety minutes allotted to complete each of its two sections: multiple-choice and free-response. The multiple-choice portion of the exam consists of forty questions with five possible answers each.Simmons (2009), p. 5 The free-response section contains six open-ended questions that are often long and divided into multiple parts. 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.Simmons (2009), p. 6


Grading

The multiple-choice section is scored immediately after the exam by computer. One point is awarded for each correct answer, no points are credited or deducted for unanswered questions, and points are no longer deducted for having an incorrect answer.Berger (1997), p. 5 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.Simmons (2009), p. 7 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. Both sections are weighted equally when the composite score is calculated. The composite score is reported on a scale from 1 to 5, with a score of 5 being the highest possible.


Grade distributions


See also

*
Statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
* Glossary of probability and statistics * Statistics education


Notes


References

* * * * *


Further reading


Textbooks

* * * * *


Teaching guides

* * * *


External links


Advanced Placement website
{{Glossaries of science and engineering Statistics education
Statistics Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a s ...
Advanced Placement