AP Statistics 2016 Questions

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고려대학교

Course

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AP

®

Statistics

Practice Exam

From the 2 016 Administration

NOTE: This is a modified version of the 2016 AP Statistics Exam.

This exam may not be posted on school or personal websites, nor electronically redistributed for any reason. This Released Exam is provided by the College Board for AP Exam preparation. Teachers are permitted to download the materials and make copies to us e with their students i n a classroom setting only. To maintain the security of this exam, teachers should collect all materials after their administration and keep them in a secure location.

Further distribution of these materials outside of the secure College Board site disadvantages teachers who rely on uncirculated questions for classroom testing. Any additional distribution is in violation of the College Board’s copyright policies and may result in the termination of Practice Exam access for your school as well as the removal of access to other online services such as the AP Teacher Community and Online Score Reports.

Contents

Exam Instructions

Student Answer Sheet for the Multiple-Choice Section

Section I: Multiple-Choice Questions

Section II: Free-Response Questions

Multiple-Choice Answer Key

Free-Response Scoring Guidelines

Scoring Worksheet

Question Descriptors and Performance Data

Note: This publication shows the page numbers that appeared in the 2015 − 16 AP Exam Instructions book and in the actual exam. This publication was not repaginated to begin with page 1.

© 2016 The College Board. College Board, Advanced Placement Program, AP, SAT and the acorn logo are registered trademarks of the College Board. All other products and services may be trademarks of their respective owners. Permission to use copyrighted College Board materials may be requested online at: collegeboard/inquiry/cbpermit.html.

268

Students are expected to bring graphing calculators with statistical capabilities to the

AP Statistics Exam. Nongraphing scientific calculators are permitted as long as they have

the required computational capabilities. Before starting the exam administration, make

sure each student has a graphing calculator from the approved list on page 47 of the 201 5 – 1 6

AP Coordinator’s Manual or a scientific calculator. It is up to the student to determine if a

nongraphing scientific calculator has the required computational capabilities. If a student does

not have a graphing calculator from the approved list or an appropriate scientific calculator, you

may provide one from your supply. See pages 44–47 of the AP Coordinator’s Manual for more

information. If the student does not want to use the calculator you provide, or does not want to

use a calculator at all, he or she must hand copy, date, and sign the release statement on page 45 of

the AP Coordinator’s Manual.

Students may have no more than two calculators on their desks. Calculators may not be shared.

Calculator memories do not need to be cleared before or after the exam. Students with Hewlett-

Packard 48–50 Series and Casio FX-9860 graphing calculators may use cards designed for use

with these calculators. Proctors should make sure infrared ports (Hewlett-Packard) are not facing

each other. Since graphing calculators can be used to store data, including text, proctors

should monitor that students are using their calculators appropriately. Attempts by students

What Proctors Need to Bring to This Exam

  • Exam packets

  • Answer sheets

  • AP Student Packs

  • 201 5 – 16 AP Coordinator’s Manual

  • This book — AP Exam Instructions

  • AP Exam Seating Chart template(s)

  • School Code and Home-School/Self- Study Codes

  • Extra graphing calculators

  • Pencil sharpener

  • Container for students’ electronic devices (if needed)

  • Extra No. 2 pencils with erasers

  • Extra pens with black or dark blue ink

  • Extra paper

  • Stapler

  • Watch

  • Signs for the door to the testing room

  • “Exam in Progress”

  • “Cell phones are prohibited in the testing room”

AP® Statistics Exam

Regularly Scheduled Exam Date: Thursday afternoon, May 12, 2016 Late-Testing Exam Date: Wednesday morning, May 18, 2016 Section I Total Time: 1 hr. 30 min. Section II Total Time: 1 hr. 30 min.

Section I Total Time: 1 hour 30 minutes Graphing calculator expected Number of Questions: 40* Percent of Total Score: 50% Writing Instrument: Pencil required *The number of questions may vary slightly depending on the form of the exam.

Section II Total Time: 1 hour 30 minutes Graphing calculator expected Number of Questions: 6 Percent of Total Score: 50% Writing Instrument: Either pencil or pen with black or dark blue ink

© 2016 The College Board. Visit the College Board on the Web: collegeboard.

269

AP Exam Instructions

to use the calculator to remove exam questions and/or answers from the room may result in

the cancellation of AP Exam scores.

SECTION I: Multiple Choice

!

Do not begin the exam instructions below until you have completed the appropriate General Instructions for your group.

Make sure you begin the exam at the designated time. Remember, you must complete a seating

chart for this exam. See pages 305–306 for a seating chart template and instructions. See the

2015-16 AP Coordinator’s Manual for exam seating requirements (pages 49–52).

If you are giving the regularly scheduled exam, say:

It is Thursday afternoon, May 12, and you will be taking the AP Statistics Exam.

If you are giving the alternate exam for late testing, say:

It is Wednesday morning, May 18, and you will be taking the AP Statistics Exam.

In a moment, you will open the packet that contains your exam materials. By opening this packet, you agree to all of the AP Program’s policies and procedures outlined in the 2015-16 Bulletin for AP Students and Parents. You may now remove the shrinkwrap from your exam packet and take out the Section I booklet, but do not open the booklet or the shrinkwrapped Section II materials. Put the white seals aside….

Carefully remove the AP Exam label found near the top left of your exam booklet cover. Now place it on page 1 of your answer sheet on the light blue box near the top right-hand corner that reads “AP Exam Label.”

If students accidentally place the exam label in the space for the number label or vice versa, advise

them to leave the labels in place. They should not try to remove the label; their exam can still be

processed correctly.

Read the statements on the front cover of Section I and look up when you have finished….

Sign your name, and write today’s date. Look up when you have finished….

Now print your full legal name where indicated. Are there any questions?…

Turn to the back cover of your exam booklet and read it completely. Look up when you have finished….

Are there any questions?…

You will now take the multiple-choice portion of the exam. You should have in front of you the multiple-choice booklet and your answer sheet. Open your answer sheet to page 2. You may never discuss these specific multiple-choice questions at any time in any form with anyone, including your teacher and other students. If you disclose these questions through any means, your AP Exam score will be canceled.

STATISTICS

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271

AP Exam Instructions

STATISTICS

SECTION II: Free Response

After the break, say:

May I have everyone’s attention? Place your Student Pack on your desk….

You may now remove the shrinkwrap from the Section II packet, but do not open the exam booklet until you are told to do so….

Read the bulleted statements on the front cover of the exam booklet. Look up when you have finished….

Now take an AP number label from your Student Pack and place it on the shaded box. If you don’t have any AP number labels, write your AP number in the box. Look up when you have finished….

Read the last statement….

Using a pen with black or dark blue ink, print the first, middle, and last initials of your legal name in the boxes and print today’s date where indicated. This constitutes your signature and your agreement to the statements on the front cover….

Turn to the back cover and, using your pen, complete Item 1 under “Important Identification Information.” Print the first two letters of your last name and the first letter of your first name in the boxes. Look up when you have finished….

In Item 2, print your date of birth in the boxes….

In Item 3, write the school code you printed on the front of your Student Pack in the boxes….

Read Item 4….

Are there any questions?…

I need to collect the Student Pack from anyone who will be taking another AP Exam. You may keep it only if you are not taking any other AP Exams this year. If you have no other AP Exams to take, place your Student Pack under your chair now….

Read the information on the back cover of the exam booklet. Do not open the booklet until you are told to do so. Look up when you have finished….

Collect the Student Packs. Then say:

Are there any questions?…

Section II has two parts. You have 1 hour and 30 minutes to complete all of Section II. You are responsible for pacing yourself and may proceed freely from one part to the next. You must write your answers in the exam booklet using a pen with black or dark blue ink or a No. 2 pencil. If you use a pencil, be sure that your writing is dark enough to be easily read. If you need more paper during the exam, raise your hand. At the top of each extra sheet of paper you use, be sure to write only your AP number and the question number you are working on. Do not write your name. Are there any questions?…

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272

Statistics

You may begin Part A. 12 6 9 3 Note Start Time here. Note Stop Time here. You should also make

sure that Hewlett-Packard calculators’ infrared ports are not facing each other and that students

are not sharing calculators. After 1 hour and 5 minutes, say:

There are 25 minutes remaining and you may want to move on to Part B, if you have not already started answering that question.

After 15 minutes, say:

There are 10 minutes remaining.

After 10 minutes, say:

Stop working and close your exam booklet. Place it on your desk, face up….

If any students used extra paper for a question in the free-response section, have those students

staple the extra sheet(s) to the first page corresponding to that question in their exam booklets.

Complete an Incident Report. A single Incident Report may be completed for multiple students

per exam subject per administration (regular or late testing) as long as all of the required

information is provided. Include all exam booklets with extra sheets of paper in an Incident

Report return envelope (see page 60 of the 2015-16 AP Coordinator’s Manual for complete details).

Then say:

Remain in your seat, without talking, while the exam materials are collected….

Collect a Section II booklet from each student. Check for the following:

– Exam booklet front cover: The student placed an AP number label on the shaded box and printed his or her initials and today’s date. – Exam booklet back cover: The student completed the “Important Identification Information” area.

When all exam materials have been collected and accounted for, return to students any electronic

devices you may have collected before the start of the exam.

If you are giving the regularly scheduled exam, say:

You may not discuss or share these specific free-response questions with anyone unless they are released on the College Board website in about two days. Your AP Exam score results will be available online in July.

If you are giving the alternate exam for late testing, say:

None of the questions in this exam may ever be discussed or shared in any way at any time. Your AP Exam score results will be available online in July.

If any students completed the AP number card at the beginning of this exam, say:

Please remember to take your AP number card with you. You will need the information on this card to view your scores and order AP score reporting services online.

© 2016 The College Board. Visit the College Board on the Web: collegeboard.

null

Student Answer Sheet for

the Multiple-Choice Section

Use this section to capture student responses. (Note that the following

answer sheet is a sample, and may differ from one used in an actual exam.)

Sign your legal name as it will appear on your college applications.

Date

To maintain the security of the exam and the validity of my AP score, I will allow no one else to see the multiple-choice questions. I will seal the multiple-choice booklet when asked to do so, and I will not discuss these questions with anyone at any time after completing the section. I am aware of and agree to the AP Program’s policies and procedures as outlined in the

2015-16 Bulletin for AP Students and

Parents

, including using testing accommodations (e., extended time, computer, etc.) only if I have been preapproved by College Board

COMPLETE THIS AREA AT EVERY EXAM. Services for Students with Disabilities.

USE NO. 2 PENCIL ONLY

A. SIGNATURE

PAGE 1

AP Exam Label (from Section I Booklet)

AP Number Label (from Student Pack)

Answer Sheet 2016

B. LEGAL NAME

Omit apostrophes, Jr., II.

Legal First Name — First 12 Letters

Legal Last Name — First 15 Letters

MI

A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B C C C C C C C C C C C C C C C D D D D D D D D D D D D D D D E E E E E E E E E E E E E E E F F F F F F F F F F F F F F F G G G G G G G G G G G G G G G H H H H H H H H H H H H H H H I I I I I I I I I I I I I I I J J J J J J J J J J J J J J J K K K K K K K K K K K K K K K L L L L L L L L L L L L L L L M M M M M M M M M M M M M M M N N N N N N N N N N N N N N N O O O O O O O O O O O O O O O P P P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R R R S S S S S S S S S S S S S S S T T T T T T T T T T T T T T T U U U U U U U U U U U U U U U V V V V V V V V V V V V V V V W W W W W W W W W W W W W W W X X X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z – – – – – – – – – – – – –

1 2 3 4 5 6 7 8 9

A A A A A A A A A A A A A B B B B B B B B B B B B B C C C C C C C C C C C C C D D D D D D D D D D D D D E E E E E E E E E E E E E F F F F F F F F F F F F F G G G G G G G G G G G G G H H H H H H H H H H H H H I I I I I I I I I I I I I J J J J J J J J J J J J J K K K K K K K K K K K K K L L L L L L L L L L L L L M M M M M M M M M M M M M N N N N N N N N N N N N N O O O O O O O O O O O O O P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R S S S S S S S S S S S S S T T T T T T T T T T T T T U U U U U U U U U U U U U V V V V V V V V V V V V V W W W W W W W W W W W W W X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z – – – – – – – – – –

0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9

0 0 1 1 2 2 3 3 4 5 6 7 8 9

6 12 7 1 8 2 9 3 10 4 11 5

0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 S

D. EXAM DATE

C. YOUR AP NUMBER

Month

AM PM

F. MULTIPLE-CHOICE BOOKLET

SERIAL NUMBER

H.

AP EXAM I AM TAKING USING THIS ANSWER SHEET

Exam Name:

Form Code:

Form:

COMPLETE THIS AREA ONLY ONCE.

SCHOOL USE ONLY

Fee Reduction GrantedSection Number

Option 1

Option 2

E. EXAM

START TIME

0 0 1 1 2 3 4 5 6 7 8 9

1

2

G. ONLINE 0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9

PROVIDER CODE

Day

O. STUDENT SEARCH SERVICE

®

Colleges and scholarship programs may request your information to inform you of educational opportunities and financial aid you like us to supply your information?If you don’t answer and previously chose to participate in this service, we will continue providing your information.

Yes No

L. SOCIAL SECURITY 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9

NUMBER (Optional)

108603-00657 • TF216E4757 • Printed in U.S. Q4068/1- 4

M. COLLEGE TO RECEIVE YOUR COLLEGE CODE 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9

AP SCORE REPORT

Using the college code listedCollege Name State Country in the AP Student Pack, indicate the

ONE

college

that you want to receive your AP score report. City

SCHOOL CODE 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9

School Name State Country

J. SCHOOL YOU ATTEND

City

I. AREA CODE AND 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 INTERNATIONAL PHONE PHONE NUMBER

0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 JanFebMarAprMayJunJulAugSepOctNovDec Month

Day

Year

K. DATE OF BIRTH

N. CURRENT

GRADE LEVEL

Not yet in9th grade9th10th

B123456789T

785208

11th12thNo longer inhigh school

/ / / -….. 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9

/ / / -….. 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9

/ / / -….. 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9

/ / / -….. 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9

/ / / -….. 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9

For Students Taking AP Biology

/ / / -….. 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9

121 123122 124 125 126

Write your answer in the boxes at the top of the griddable area and fill in the corresponding circles. Mark only one circle in any column. You will receive credit only if the circles are filled in correctly.

PAGE 3

DO NOT WRITE IN THIS AREA

A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E

A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E

A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E A B C D E

76 77 78 79 80 81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 10 0 101 102 103 104 105

106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

Be sure each mark is dark and completely fills the circle. If a question has only four answer options, do not mark option E.

QUESTIONS 76–

© 2015 The College Board. College Board, AP, Student Search Service and the acorn logo are registered trademarks of the College Board.

QUESTIONS 121–

A B C D A B C D A B C D A B C D

A B C D A B C D A B C D A B C D

A B C D A B C D A B C D A B C D

131 132 133 134

135 136 137 138

139 140 141 142

For Students Taking AP Physics 1 or AP Physics 2 Mark two responses per question. You will receive credit only if both correct responses are selected.

QUESTIONS 131–

COMPLETE THIS AREA ONLY ONCE.

ZIP OR POSTAL CODE

COUNTRY CODE

PAGE 4

STREET ADDRESS

(include street number, street name, apartment number, etc.)

CITY

A A A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B B B C C C C C C C C C C C C C C C C C C C C C C C C C C D D D D D D D D D D D D D D D D D D D D D D D D D D E E E E E E E E E E E E E E E E E E E E E E E E E E F F F F F F F F F F F F F F F F F F F F F F F F F F G G G G G G G G G G G G G G G G G G G G G G G G G G H H H H H H H H H H H H H H H H H H H H H H H H H H I I I I I I I I I I I I I I I I I I I I I I I I I I J J J J J J J J J J J J J J J J J J J J J J J J J J K K K K K K K K K K K K K K K K K K K K K K K K K K L L L L L L L L L L L L L L L L L L L L L L L L L L M M M M M M M M M M M M M M M M M M M M M M M M M M N N N N N N N N N N N N N N N N N N N N N N N N N N O O O O O O O O O O O O O O O O O O O O O O O O O O P P P P P P P P P P P P P P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R R R R R R R R R R R R R R S S S S S S S S S S S S S S S S S S S S S S S S S S T T T T T T T T T T T T T T T T T T T T T T T T T T U U U U U U U U U U U U U U U U U U U U U U U U U U V V V V V V V V V V V V V V V V V V V V V V V V V V W W W W W W W W W W W W W W W W W W W W W W W W W W X X X X X X X X X X X X X X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 / / / / / / / / / / / / / / / / / / / / / / / /

A A A A A A A A A A A A A B B B B B B B B B B B B B C C C C C C C C C C C C C D D D D D D D D D D D D D E E E E E E E E E E E E E F F F F F F F F F F F F F G G G G G G G G G G G G G H H H H H H H H H H H H H I I I I I I I I I I I I I J J J J J J J J J J J J J K K K K K K K K K K K K K L L L L L L L L L L L L L M M M M M M M M M M M M M N N N N N N N N N N N N N O O O O O O O O O O O O O P P P P P P P P P P P P P Q Q Q Q Q Q Q Q Q Q Q Q Q R R R R R R R R R R R R R S S S S S S S S S S S S S T T T T T T T T T T T T T U U U U U U U U U U U U U V V V V V V V V V V V V V W W W W W W W W W W W W W X X X X X X X X X X X X X Y Y Y Y Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z Z Z Z Z

A A A A A A A A A B B B B B B B B B C C C C C C C C C D D D D D D D D D E E E E E E E E E F F F F F F F F F G G G G G G G G G H H H H H H H H H I I I I I I I I I J J J J J J J J J K K K K K K K K K L L L L L L L L L M M M M M M M M M N N N N N N N N N O O O O O O O O O P P P P P P P P P Q Q Q Q Q Q Q Q Q R R R R R R R R R S S S S S S S S S T T T T T T T T T U U U U U U U U U V V V V V V V V V W W W W W W W W W X X X X X X X X X Y Y Y Y Y Y Y Y Y Z Z Z Z Z Z Z Z Z 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 / / / / / / /

0 0 0 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9

R. YOUR MAILING ADDRESS

Use the address abbreviations from your AP Student Pack. Fill in only one circle per column. Indicate a space in your address by leaving a blank box; do not grid that column.

AKALARAZCACOCTDCDEFLGA

HI IA ID IL IN KSKYLAMAMDME

MIMNMOMSMTNCNDNENHNJNMNV

NYOHOKORPARI SCSDTNTXUTVA

VTWAWIWVWYPuerto RicoAAAEAPOther

STAT E

S. FOR STUDENTS OUTSIDE

THE UNITED STATES ONLY U. EMAIL ADDRESS

If your address does not fit in the spaces provided in Item R, fill in as many circles as you can, then fill in the circle in Item S and print the

remainder

of your address in the spaces provided.

Address

City

State or Province

Country

ZIP or Postal Code

By providing your email address, you are granting the College Board permission to use your email in accordance with the policies in the 2015-16 Bulletin for AP Students and Parents

.

T. STUDENT IDENTIFIER

(Student ID Number

)

Y. PARENTAL EDUCATION LEVEL

W. WHICH

LANGUAGE DO YOU

KNOW BEST? Mother or female guardianFather or male guardian Grade schoolSome high schoolHigh school diploma or equivalentVocational or trade schoolSome collegeAssociate or two-year degreeBachelor’s or four-year degreeSome graduate or professional schoolGraduate or professional degree V. SEX

Female

Male

EnglishEnglish and another language about the sameAnother language

In the first column, indicate the highest level of education of one parent/guardian, and indicate whether this is your mother/female guardian or father/male guardian. Then, if applicable, indicate the highest level of education of your other parent/guardian in the second column, and indicate whether this is your mother/female guardian or father/male guardian.

X.

RACIAL/ETHNIC GROUP Please answer both questions about Hispanic origin and about race. For the following questions about your identity, Hispanic origins are not races.(You may mark all that apply.)

a. Are you of

Hispanic, Latino, or Spanish origin? No, not of Hispanic, Latino, or Spanish originYes, CubanYes, MexicanYes, Puerto RicanYes, another Hispanic, Latino, or Spanish origin

American Indian or Alaska NativeAsian (including Indian subcontinent and Philippines origin)Black or African American (including Africa and Afro-Caribbean origin)Native Hawaiian or other Pacific IslanderWhite (including Middle Eastern origin) b. What is your race?

####### AP

®

####### Statistics Exam

####### SECTION I: Multiple Choice 2016

DO NOT OPEN THIS BOOKLET UNTIL YOU ARE TOLD TO DO SO.

At a Glance

Total Time 1 hour, 30 minutes Number of Questions 40 Percent of Total Score 50% Writing Instrument Pencil required Electronic Device Graphing calculator expected

Instructions Section I of this exam contains 40 multiple-choice questions. Fill in only the circles for numbers 1 through 40 on your answer sheet. Indicate all of your answers to the multiple-choice questions on the answer sheet. No credit will be given for anything written in this exam booklet, but you may use the booklet for notes or scratch work. After you have decided which of the suggested answers is best, completely fill in the corresponding circle on the answer sheet. Give only one answer to each question. If you change an answer, be sure that the previous mark is erased completely. Here is a sample question and answer.

Use your time effectively, working as quickly as you can without losing accuracy. Do not spend too much time on any one question. Go on to other questions and come back to the ones you have not answered if you have time. It is not expected that everyone will know the answers to all of the multiple-choice questions. Your total score on the multiple-choice section is based only on the number of questions answered correctly. Points are not deducted for incorrect answers or unanswered questions.

Form I Form Code 4MBP4-S

90

-2-

Formulas begin on page 3. Questions begin on page 6. Tables begin on page 42.

-4-

(II) Probability

PA B ()()()()»= + – « PA PB PA B

() () ()

PA B PAB PB

«

EX ()==μ x  xpi i

( ) 2 2 Var( ) Xxp == – sx  ix μ i

If X has a binomial distribution with parameters n and p , then:

() (1)

n knk PX k p p k

ʈ Á ̃Ë ̄ == —

μ x = np

sx =- np (1 p )

μ p ˆ = p

(1 ) ˆ

p p p n s

  • =

If x is the mean of a random sample of size n from an infinite population with mean μ and standard deviation s , then:

μμ x =

x n

s s =

-5-

(III) Inferential Statistics

standard deviation of statistic

statistic parameter Standardized test statistic:

Confidence interval: statistic ± critical value()(∑ standard deviation of statistic)

Single-Sample

Statistic

Sample Mean

Standard Deviation of Statistic

n

s

Sample Proportion

p (1 p ) n

Two-Sample

Statistic

Difference of sample means

Standard Deviation of Statistic

22 12 nn 12

ss +

Special case when ss 1 = 2

12

11 nn

s +

Difference of sample proportions 112 2 12

p (1 pp p ) (1 ) nn

— +

Special case when p 12 = p

p () 1 – p 12

11 nn

( observed expected 2 Chi-square test statistic expected

)

AP Statistics 2016 Questions

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