Understandable Statistics: Concepts and Methods (AP edition) 12th edition

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Charles Henry Brase and Corrinne Pellillo Brase
Publisher: Cengage Learning

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  • Brase Understandable Statistics AP® 12e with SALT - Updated July 2021
  • Brase Understandable Statistics AP® 12e Review and Practice Tests

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  • Chapter 1: Getting Started
    • 1: Concept Explorations (3)
    • 1.1: What Is Statistics? (16)
    • 1.2: Random Samples (11)
    • 1.3: Introduction to Experimental Design (10)
    • 1: Chapter Review Problems (10)

  • Chapter 2: Organizing Data
    • 2: Concept Explorations (1)
    • 2.1: Frequency Distributions, Histograms, and Related Topics (38)
    • 2.2: Bar Graphs, Circle Graphs, and Time-Series Graphs (12)
    • 2.3: Stem-and-Leaf Displays (12)
    • 2: Chapter Review Problems (11)

  • Chapter 3: Averages and Variation
    • 3: Concept Explorations (2)
    • 3.1: Measures of Central Tendency: Mode, Median, and Mean (36)
    • 3.2: Measures of Variation (42)
    • 3.3: Percentiles and Box-and-Whisker Plots (16)
    • 3: Chapter Review Problems (14)
    • 3: Cumulative Review Problems (18)

  • Chapter 4: Elementary Probability Theory
    • 4: Concept Explorations (1)
    • 4.1: What Is Probability? (21)
    • 4.2: Some Probability Rules—Compound Events (40)
    • 4.3: Trees and Counting Techniques (35)
    • 4: Chapter Review Problems (16)

  • Chapter 5: The Binomial Probability Distribution and Related Topics
    • 5: Concept Explorations (1)
    • 5.1: Introduction to Random Variables and Probability Distributions (29)
    • 5.2: Binomial Probabilities (43)
    • 5.3: Additional Properties of the Binomial Distribution (45)
    • 5.4: The Geometric and Poisson Probability Distributions (38)
    • 5: Chapter Review Problems (30)

  • Chapter 6: Normal Curves and Sampling Distributions
    • 6: Concept Explorations (3)
    • 6.1: Graphs of Normal Probability Distributions (21)
    • 6.2: Standard Units and Areas Under the Standard Normal Distribution (91)
    • 6.3: Areas Under Any Normal Curve (80)
    • 6.4: Sampling Distributions (9)
    • 6.5: The Central Limit Theorem (40)
    • 6.6: Normal Approximation to Binomial Distribution and to Distribution (27)
    • 6: Chapter Review Problems (35)
    • 6: Cumulative Review Problems (15)

  • Chapter 7: Estimation
    • 7: Concept Explorations (3)
    • 7.1: Estimating μ When σ Is Known (23)
    • 7.2: Estimating μ When σ Is Unknown (44)
    • 7.3: Estimating p in the Binomial Distribution (41)
    • 7.4: Estimating μ1μ2 and p1p2 (45)
    • 7: Chapter Review Problems (31)

  • Chapter 8: Hypothesis Testing
    • 8: Concept Explorations (4)
    • 8.1: Introduction to Statistical Tests (17)
    • 8.2: Testing the Mean μ (35)
    • 8.3: Testing a Proportion p (48)
    • 8.4: Tests Involving Paired Differences (Dependent Samples) (28)
    • 8.5: Testing μ1μ2 and p1p2 (Independent Samples) (38)
    • 8: Chapter Review Problems (18)

  • Chapter 9: Correlation and Regression
    • 9: Concept Explorations (3)
    • 9.1: Scatter Diagrams and Linear Correlation (32)
    • 9.2: Linear Regression and the Coefficient of Determination (47)
    • 9.3: Inferences for Correlation and Regression (22)
    • 9.4: Multiple Regression (7)
    • 9: Chapter Review Problems (11)
    • 9: Cumulative Review Problems (9)

  • Chapter 10: Chi-Square and F Distributions
    • 10: Concept Explorations (2)
    • 10.1: Chi-Square: Tests of Independence and of Homogeneity (26)
    • 10.2: Chi-Square: Goodness of Fit (30)
    • 10.3: Testing and Estimating a Single Variance or Standard Deviation (12)
    • 10.4: Testing Two Variances (13)
    • 10.5: One-Way ANOVA: Comparing Several Sample Means (18)
    • 10.6: Introduction to Two-Way ANOVA (8)
    • 10: Chapter Review Problems (21)

  • Chapter 11: Nonparametric Statistics
    • 11: Concept Explorations (1)
    • 11.1: The Sign Test for Matched Pairs (15)
    • 11.2: The Rank-Sum Test (13)
    • 11.3: Spearman Rank Correlation (13)
    • 11.4: Runs Test for Randomness (14)
    • 11: Chapter Review Problems (10)
    • 11: Cumulative Review Problems (7)

  • Chapter A: Appendices
    • A.1: Bayes's Theorem
    • A.2: The Hypergeometric Probability Distribution

  • Chapter FT5: Fast Track to a 5: Preparing for the AP® Statistics Examination
    • FT5.DT: A Diagnostic Test (39)
    • FT5.1: Graphical Methods for Describing Data (15)
    • FT5.2: Numerical Methods for Describing Data (15)
    • FT5.3: Summarizing Bivariate Data (15)
    • FT5.4: Collecting Data Sensibly (15)
    • FT5.5: Probability (15)
    • FT5.6: Random Variables and Probability Distributions (15)
    • FT5.7: Sampling Variability and Sampling Distributions (15)
    • FT5.8: Estimating Using a Single Sample (15)
    • FT5.9: Hypothesis Testing Using a Simple Sample (15)
    • FT5.10: Comparing Two Populations or Treatments (15)
    • FT5.11: The Analysis of Categorical Data and Goodness-of-Fit Tests (15)
    • FT5.12: Inference for Linear Regression and Correlation (15)
    • FT5.T1: Practice Test I (39)
    • FT5.T2: Practice Test II (39)


Understandable Statistics: Concepts and Methods (AP edition), 12th edition, by Brase and Brase is a thorough yet accessible program designed to help readers overcome their apprehensions about statistics. To reinforce this approach, and make the material interesting as well as easier to understand, the book integrates real-life data from a variety of sources, including journals, periodicals, newspapers, and the Internet. The WebAssign component for this text engages students with an interactive eBook and several other resources.

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  • Instructor Resources include Instructional Lecture Videos, hosted by Dana Mosely. These topic-specific videos provide explanations of key concepts, examples, and applications in a lecture-based format. Lecture PowerPoint slides are also available.

Student Learning Tools

  • Read It links under each question quickly jump to the corresponding section of a complete, interactive eBook that lets students highlight and take notes as they read.
  • Watch It links provide step-by-step instruction with short, engaging videos that are ideal for visual learners.
  • Master It Tutorials show students how to solve a similar problem in multiple steps by providing direction along with derivation, so the student understands the concepts and reasoning behind the problem solving.
  • The Fast Track to a Five (FT5) AP® test preparation guide includes strategies for taking the exam, a diagnostic test so that students can assess their level of preparedness, chapter-review sections with self-study questions in AP® format, and two complete practice tests in AP® format.
  • Student Resources include Data Analysis Tool Instructions / Tech Guides for the below software. Can be used stand-alone or in conjunction with assessment items (Homework, Labs, or Project Milestones).
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Most questions from this textbook are available in WebAssign. The online questions are identical to the textbook questions except for minor wording changes necessary for Web use. Whenever possible, variables, numbers, or words have been randomized so that each student receives a unique version of the question. This list is updated nightly.

Question Group Key
MI - Master It
MI.SA - Stand Alone Master It
R - Review
CR - Cumulative Review
S - SALT
XP - Extra Problem
FT5 - Fast Track to a Five


Question Availability Color Key
BLACK questions are available now
GRAY questions are under development


Group Quantity Questions
Chapter FT5: Fast Track to a 5: Preparing for the AP® Statistics Examination
FT5.DT 39 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040
FT5.T1 39 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040
FT5.T2 39 001 002 003 004 005 006 007 008 009 010 011 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040
FT5.1 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.2 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.3 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.4 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.5 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.6 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.7 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.8 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.9 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.10 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.11 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
FT5.12 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
Chapter 1: Getting Started
1.CE 3 001.CV 002.CV 003.CV
1.R 10 001 002 003 004 005 006 007 008 009 011
1.1 16 001 002 003 004 005 008 009.MI 009.MI.SA 010 011.MI 011.MI.SA 012.MI 012.MI.SA 013 014 015
1.2 11 001 002 003 008 009 010 015.MI 015.MI.SA 016 019 020
1.3 10 001 002 005.MI 005.MI.SA 006 007 008 009 010 011
Chapter 2: Organizing Data
2.CE 1 001.CV
2.R 11 001 002 003 004 005 006 008 009 010 010.S 011
2.1 38 ST.001.S SYS.001.S 001 002 003 004 005.MI 005.MI.SA 007 009 010 010.S 011.MI 011.MI.SA 013.MI 013.MI.SA 014 015 015.S 016 016.S 017 017.S 018 018.S 019.MI 019.MI.SA 020 020.S 021 022 023 024 024.S 025 025.S 501.XP 501.XP.S
2.2 12 003 004 005 007 008.MI 008.MI.SA 010 011 012 013 014 015
2.3 12 001 002.MI 002.MI.SA 003 004 005.MI 005.MI.SA 006 007 008 009 010
Chapter 3: Averages and Variation
3.CE 2 001.CV 002.CV
3.CR 18 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018
3.R 14 001 002 003 004 005 005.S 006 007 008 008.S 009 010 010.S 011
3.1 36 ST.001.S 001 002 005.MI 005.MI.SA 007.MI 007.MI.SA 009 011 012 013 014.MI 014.MI.SA 016.MI 016.MI.SA 017 017.S 018 019 019.S 020.MI 020.MI.SA 021 021.S 022 022.S 023 023.S 024.MI 024.MI.SA 026.MI 026.MI.SA 027 028 029 030
3.2 42 ST.001.S 001 002 003 004 005.MI 005.MI.SA 009 009.S 010.MI 010.MI.S 010.MI.SA 011 011.S 012 013.MI 013.MI.SA 014.MI 014.MI.SA 015.MI 015.MI.SA 016 016.S 017 017.S 018 018.S 019 019.S 020 021.MI 021.MI.SA 022 023 024 025.MI 025.MI.SA 026 027 028 029 030
3.3 16 ST.001.S SYS.001.S 001 002 003 004 005.MI 005.MI.SA 007.MI 007.MI.SA 008 009 010 010.S 011 012
Chapter 4: Elementary Probability Theory
4.CE 1 001.CV
4.R 16 001 006 007 008 009 010 011 012 013 014 015 016 017 018 019 020
4.1 21 001 002 003 004 007.MI 007.MI.SA 011.MI 011.MI.SA 013 014 015 016 017 018 019 020 021.MI 021.MI.SA 022 023.MI 023.MI.SA
4.2 40 001 002 003.MI 003.MI.SA 005.MI 005.MI.SA 007.MI 007.MI.SA 011 012 013 014 015 016 017.MI 017.MI.SA 018 019.MI 019.MI.SA 020 021.MI 021.MI.SA 022 023 024 025 026 027.MI 027.MI.SA 028 029 030.MI 030.MI.SA 031 032 033.MI 033.MI.SA 034 035 036
4.3 35 001 002 003 004 005 006 007 008 009 010.MI 010.MI.SA 011.MI 011.MI.SA 012 013.MI 013.MI.SA 014 015 016 017.MI 017.MI.SA 018 019 020 021.MI 021.MI.SA 022 023 024.MI 024.MI.SA 025 026.MI 026.MI.SA 027 028
Chapter 5: The Binomial Probability Distribution and Related Topics
5.CE 1 001.CV
5.R 30 001 002 003 003.S 004 005 006 006.S 007 007.S 008 008.S 009 009.S 010 011 012 013 014 014.S 015 016 017 018 019 020 501.XP 501.XP.S 502.XP 502.XP.S
5.1 29 001 002 003 005 006 007.MI 007.MI.SA 009 010.MI 010.MI.S 010.MI.SA 011 011.S 012 012.S 013.MI 013.MI.SA 014 015.MI 015.MI.SA 016 017 018 019.MI 019.MI.SA 020 021 022 023
5.2 43 ST.001.S SYS.001.S 001 002 003 004 007 008 009 010 011.MI 011.MI.SA 015 016.MI 016.MI.S 016.MI.SA 017.MI 017.MI.SA 018 018.S 019.MI 019.MI.SA 020 020.S 021 021.S 022.MI 022.MI.S 022.MI.SA 023.MI 023.MI.SA 024 025 026 026.S 027 028 028.S 029 030 030.S 031 032
5.3 45 001 002 005 006 006.S 007 007.S 008 009 011 012.MI 012.MI.SA 013 013.S 014 015.MI 015.MI.SA 016 016.S 017 017.S 018 018.S 019 019.S 020 020.S 021 022 022.S 023 023.S 024.MI 024.MI.SA 025 025.S 026.MI 026.MI.SA 027 027.S 028 501.XP 501.XP.S 502.XP 502.XP.S
5.4 38 001 002 003 004 005.MI 005.MI.SA 007.MI 007.MI.SA 009.MI 009.MI.SA 010 011.MI 011.MI.SA 012 013.MI 013.MI.SA 014.MI 014.MI.SA 015 016 017 018 019.MI 019.MI.SA 020 021 022 023 024 025 026 027 028 029 030 031 032 033
Chapter 6: Normal Curves and Sampling Distributions
6.CE 3 001.CV 002.CV 003.CV
6.CR 15 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015
6.R 35 001 002 003 004 005 006 009 010 011 011.S 012 012.S 013 013.S 014 014.S 015 016 016.S 017 017.S 018 019 019.S 020 021 021.S 022 022.S 023 023.S 024 024.S 501.XP 501.XP.S
6.1 21 ST.001.S ST.002.S 001 002.MI 002.MI.SA 003 004 005 006 007 008.MI 008.MI.SA 009 010.MI 010.MI.SA 011 012 013 014 015 018
6.2 91 ST.001.S ST.002.S 001 002 003 004 005.MI 005.MI.SA 007 008 009.MI 009.MI.SA 010 011 012 013 013.S 014 014.S 015.MI 015.MI.SA 016 016.S 017.MI 017.MI.SA 018 018.S 019.MI 019.MI.SA 020 020.S 021 021.S 022 022.S 023 023.S 024 024.S 025.MI 025.MI.SA 026 026.S 027.MI 027.MI.SA 028 028.S 029 029.S 030 030.S 031 031.S 032 033.MI 033.MI.SA 034 034.S 035.MI 035.MI.S 035.MI.SA 036 036.S 037.MI 037.MI.SA 038 038.S 039 039.S 040 040.S 041.MI 041.MI.SA 042 042.S 043 043.S 044 044.S 045 045.S 046 046.S 047.MI 047.MI.SA 048 048.S 049 049.S 050 050.S
6.3 80 SYS.001.S SYS.002.S SYS.003.S 001 001.S 002 003 004 005.MI 005.MI.SA 006.MI 006.MI.S 006.MI.SA 007 007.S 008 008.S 009 009.S 010 010.S 011.MI 011.MI.SA 012 012.S 013 013.S 014 014.S 015.MI 015.MI.SA 016 016.S 017 017.S 018.MI 018.MI.SA 019.MI 019.MI.SA 020.MI 020.MI.S 020.MI.SA 021 021.S 022 022.S 023 023.S 024.MI 024.MI.SA 025 026 026.S 027 027.S 028.MI 028.MI.SA 029 029.S 030.MI 030.MI.SA 031 032 032.S 033 033.S 034 034.S 035 035.S 036.MI 036.MI.SA 037 037.S 038 038.S 039 039.S 040 040.S
6.4 9 001 002 003 004 005 006 007 008 009
6.5 40 001 002 003 004 006.MI 006.MI.SA 007 008.MI 008.MI.S 008.MI.SA 009 010.MI 010.MI.SA 011 011.S 012.MI 012.MI.S 012.MI.SA 013 013.S 014 014.S 015 015.S 016 016.S 017 017.S 018.MI 018.MI.S 018.MI.SA 019 019.S 020 020.S 021 022 022.S 023 023.S
6.6 27 001 002 005 006.MI 006.MI.SA 007 007.S 008 008.S 009.MI 009.MI.SA 010 010.S 011 011.S 012 013.MI 013.MI.SA 014 014.S 015.MI 015.MI.SA 016 017 018 019 020
Chapter 7: Estimation
7.CE 3 001.CV 002.CV 003.CV
7.R 31 001 002 003 004 005 006 006.S 007 007.S 008 008.S 009 009.S 010 010.S 011 011.S 012 012.S 013 013.S 014 015 015.S 016 016.S 017 017.S 018 018.S 019
7.1 23 001 002 003 004 005 006 007 008 009 010 015 016.MI 016.MI.SA 017 018.MI 018.MI.SA 019.MI 019.MI.SA 022.MI 022.MI.SA 023 024 025
7.2 44 ST.001.S SYS.001.S 001.MI 001.MI.SA 002.MI 002.MI.S 002.MI.SA 003 003.S 004 004.S 005 006 007 007.S 008 008.S 009 009.S 010 010.S 013 013.S 014.MI 014.MI.S 014.MI.SA 015 015.S 016 016.S 017.MI 017.MI.S 017.MI.SA 018.MI 018.MI.S 018.MI.SA 019 020 020.S 021 021.S 022 022.S 023
7.3 41 001 002 003 004 009.MI 009.MI.SA 011 011.S 012.MI 012.MI.S 012.MI.SA 013 013.S 014 014.S 015 015.S 016 016.S 017 017.S 018 018.S 019.MI 019.MI.S 019.MI.SA 020 020.S 021 021.S 022.MI 022.MI.SA 023.MI 023.MI.SA 024 024.S 025 025.S 026 026.S 027
7.4 45 ST.001.S ST.002.S SYS.001.S 001 002 003 003.S 004 005 006 011 011.S 012.MI 012.MI.S 012.MI.SA 013 013.S 014 014.S 015 015.S 016.MI 016.MI.S 016.MI.SA 017 017.S 018 018.S 019 020.MI 020.MI.SA 021 021.S 022 022.S 023 023.S 024 024.S 025 025.S 026.MI 026.MI.S 026.MI.SA 027
Chapter 8: Hypothesis Testing
8.CE 4 001.CV 002.CV 003.CV 004.CV
8.R 18 001 002 003 004 005 006 007 008 009 010 011 012 013 014 015 016 017 018
8.1 17 001 002 003 004 011.MI 011.MI.SA 015.MI 015.MI.SA 016 017 018 019 020 021 022 023 024
8.2 35 ST.001.S SYS.001.S 001 002 003 004 005 006 007.MI 007.MI.SA 009 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 028.S 029.MI 029.MI.S 029.MI.SA 030 030.S
8.3 48 ST.001.S SYS.001.S 001 002 003 004 005.MI 005.MI.SA 007 007.S 008 008.S 009 009.S 010.MI 010.MI.S 010.MI.SA 011.MI 011.MI.S 011.MI.SA 012 012.S 013 013.S 014.MI 014.MI.S 014.MI.SA 015 015.S 016.MI 016.MI.S 016.MI.SA 017 017.S 018 018.S 019 019.S 020 020.S 021 021.S 022 022.S 023 023.S 024 024.S
8.4 28 001 002 003 004 005 006 007.MI 007.MI.SA 009 010 011 012 013 014 015 016 017 018 019 020 021 022.MI 022.MI.S 022.MI.SA 023 023.S 024 024.S
8.5 38 ST.001.S SYS.001.S 001 002 003 005 006 007 008 009.MI 009.MI.SA 011 013 015 016 017 018 019 020 021 022 023 024 025 026 027 028 028.S 029 030 031 032 033 034 035 036 037 037.S
Chapter 9: Correlation and Regression
9.CE 3 001.CV 002.CV 003.CV
9.CR 9 001 002 003 004 005 006 007 008 009
9.R 11 001 002 003 004 005 006 006.S 007 008 009 010
9.1 32 001 002 003 004 005 006 007 008 009 010 013.MI 013.MI.SA 014 014.S 015.MI 015.MI.SA 016 016.S 017 017.S 018.MI 018.MI.S 018.MI.SA 019 020 020.S 021 021.S 022 023 023.S 024
9.2 47 001.MI 001.MI.SA 002.MI 002.MI.SA 003 004 005.MI 005.MI.SA 006 007.MI 007.MI.S 007.MI.SA 008 008.S 009.MI 009.MI.S 009.MI.SA 010 010.S 011 011.S 012 012.S 013 013.S 014 014.S 015 015.S 016 016.S 017 017.S 018 018.S 019 020 020.S 021 022 022.S 023 023.S 024 024.S 025 025.S
9.3 22 001 002 003 004 005 006 007.MI 007.MI.SA 008 009 010 011 012 013.MI 013.MI.S 013.MI.SA 014 015 016 017 501.XP 502.XP
9.4 7 001 002.MI 002.MI.SA 003 004 005 006
Chapter 10: Chi-Square and F Distributions
10.CE 2 001.CV 002.CV
10.R 21 001 002 003 004 005 005.S 006 006.S 007 007.S 008 009 010 010.S 011 011.S 012 012.S 013 013.S 014
10.1 26 001 002 003 004 009 009.S 010 010.S 011 011.S 012.MI 012.MI.S 012.MI.SA 013 013.S 014 014.S 015.MI 015.MI.SA 016 016.S 017 017.S 018.MI 018.MI.SA 019
10.2 30 001 002 003 004 005 005.S 006.MI 006.MI.S 006.MI.SA 007 007.S 008 008.S 009 010.MI 010.MI.SA 011.MI 011.MI.S 011.MI.SA 012 012.S 013 013.S 014 015 015.S 016 016.S 017 018
10.3 12 001 002 003 004 005 006 007.MI 007.MI.SA 008 009 010 011
10.4 13 001 002 003 004 005 006 007 008 009 010 011.MI 011.MI.SA 012
10.5 18 001 001.S 002 002.S 003 003.S 004 004.S 005 005.S 006 006.S 007.MI 007.MI.SA 008 008.S 009 009.S
10.6 8 001 002 003 003.S 004 005 006 007
Chapter 11: Nonparametric Statistics
11.CE 1 001.CV
11.CR 7 001 002 003 004 005 006 007
11.R 10 001 002 003 004 005 006 007 008 009 010
11.1 15 001 002 003.MI 003.MI.SA 004 005 006.MI 006.MI.SA 007.MI 007.MI.SA 008 009 010 011 012
11.2 13 001 002 003.MI 003.MI.SA 004 005.MI 005.MI.SA 006 007 008 009 010 011
11.3 13 001 002 003.MI 003.MI.SA 004 005 006 007.MI 007.MI.SA 008 009 010 011
11.4 14 001 002 003.MI 003.MI.SA 004 005 006 007.MI 007.MI.SA 008 009 010 011 012
Total 1878