Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 10.4A, Problem 10A
To determine
(a)
To find:
Range for the given data.
To determine
(b)
To find:
Mean Absolute deviation for the given data.
To determine
(c)
To find:
Standard deviation for the given data.
To determine
(d)
To find:
Inter quartile range for the given data.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
these are solutions to a tutorial that was done and im a little lost. can someone please explain to me how these iterations function, for example i Do not know how each set of matrices produces a number if someine could explain how its done and provide steps it would be greatly appreciated thanks.
Q1) Classify the following statements as a true or false statements
a. Any ring with identity is a finitely generated right R module.-
b. An ideal 22 is small ideal in Z
c. A nontrivial direct summand of a module cannot be large or small submodule
d. The sum of a finite family of small submodules of a module M is small in M
A module M 0 is called directly indecomposable if and only if 0 and M are
the only direct summands of M
f. A monomorphism a: M-N is said to split if and only if Ker(a) is a direct-
summand in M
& Z₂ contains no minimal submodules
h. Qz is a finitely generated module
i. Every divisible Z-module is injective
j. Every free module is a projective module
Q4) Give an example and explain your claim in each case
a) A module M which has two composition senes 7
b) A free subset of a modale
c) A free module
24
d) A module contains a direct summand submodule 7,
e) A short exact sequence of modules 74.
*************
*********************************
Q.1) Classify the following statements as a true or false statements:
a. If M is a module, then every proper submodule of M is contained in a maximal
submodule of M.
b. The sum of a finite family of small submodules of a module M is small in M.
c. Zz is directly indecomposable.
d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M.
e. The Z-module has two composition series.
Z
6Z
f. Zz does not have a composition series.
g. Any finitely generated module is a free module.
h. If O→A MW→ 0 is short exact sequence then f is epimorphism.
i. If f is a homomorphism then f-1 is also a homomorphism.
Maximal C≤A if and only if is simple.
Sup
Q.4) Give an example and explain your claim in each case:
Monomorphism not split.
b) A finite free module.
c) Semisimple module.
d) A small submodule A of a module N and a homomorphism op: MN, but
(A) is not small in M.
Chapter 10 Solutions
Problem Solving Approach to Mathematics for Elementary School Teachers
Ch. 10.1 - Suggest how students at different grades might...Ch. 10.1 - Mathematical Connections What are the Nielsen...Ch. 10.1 - Prob. 4MCCh. 10.1 - Read about basic ideas of statistics in Common...Ch. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEPCh. 10.1 - Prob. 3NAEPCh. 10.1A - If one wanted to study the effect of using a...Ch. 10.1A - Prob. 2ACh. 10.1A - Prob. 3A
Ch. 10.1A - Prob. 4ACh. 10.1A - Prob. 5ACh. 10.1A - Prob. 6ACh. 10.1A - A second-grade class has a project to determine...Ch. 10.1A - Prob. 8ACh. 10.1A - Prob. 9ACh. 10.1A - Decide whether each of the following questions is...Ch. 10.1A - Prob. 11ACh. 10.1A - If a class were to investigate how many countries...Ch. 10.1A - Prob. 13ACh. 10.1A - In a set of student evaluations of their...Ch. 10.1A - If a bar graph like the one shown here were used...Ch. 10.1A - Prob. 16ACh. 10.1B - Assessment To study the effect of student...Ch. 10.1B - Assessment If students are measuring a tablespoon...Ch. 10.1B - Assessment If third graders were measuring an...Ch. 10.1B - Assessment To determine student computer use,...Ch. 10.1B - Suppose a poll is to be conducted in an elementary...Ch. 10.1B - Determine the population and the sample in the...Ch. 10.1B - A second-grade class has a project to determine...Ch. 10.1B - An elementary school class decides to determine...Ch. 10.1B - Prob. 12ACh. 10.1B - Prob. 13ACh. 10.1B - Assessment A university professor used a rating...Ch. 10.1B - Prob. 15ACh. 10.2 - Mathematical Connections a. Discuss when a...Ch. 10.2 - Mathematical Connections Explain whether a circle...Ch. 10.2 - Mathematical Connections Explain why the sum of...Ch. 10.2 - Mathematical Connections The federal budget for...Ch. 10.2 - Mathematical Connections Tell whether it is...Ch. 10.2 - Mathematical Connections Car sales from 1990 to...Ch. 10.2 - Mathematical Connections Find five examples of...Ch. 10.2 - Mathematical Connections A graph similar to the...Ch. 10.2 - Mathematical Connections Vale asks whether a stem...Ch. 10.2 - Mathematical Connections A histogram of the data...Ch. 10.2 - Mathematical Connections Paul asks how to create a...Ch. 10.2 - Mathematical Connections On the School Book Page...Ch. 10.2 - Prob. 15MCCh. 10.2 - Answer the Try It on the School Book Page on page...Ch. 10.2 - Answer the Try It on the School Book Page on page...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2A - The following the pictograph shows the approximate...Ch. 10.2A - Prob. 2ACh. 10.2A - Prob. 3ACh. 10.2A - Sixth grade students reported the numbers of apps...Ch. 10.2A - Prob. 5ACh. 10.2A - Prob. 6ACh. 10.2A - Prob. 7ACh. 10.2A - Prob. 8ACh. 10.2A - Prob. 9ACh. 10.2A - Prob. 10ACh. 10.2A - Prob. 11ACh. 10.2A - Prob. 12ACh. 10.2A - Prob. 13ACh. 10.2A - a. A 2-inch-long rectangle serves as a percentage...Ch. 10.2A - Seniors Sierra High were asked to about their...Ch. 10.2A - Prob. 16ACh. 10.2A - Prob. 17ACh. 10.2A - Prob. 18ACh. 10.2B - The following pictograph shows the approximate...Ch. 10.2B - Display the following information about the status...Ch. 10.2B - In the figure shown, monthly sales of three...Ch. 10.2B - Prob. 4ACh. 10.2B - A list of presidents, with the number of children...Ch. 10.2B - Prob. 6ACh. 10.2B - The heights reached by 15 model rockets launched...Ch. 10.2B - Prob. 8ACh. 10.2B - Given the following bar graph, estimate the length...Ch. 10.2B - Prob. 10ACh. 10.2B - Prob. 11ACh. 10.2B - The graph below shows the number of books read by...Ch. 10.2B - Prob. 13ACh. 10.2B - Use the circle graph to answer the following...Ch. 10.2B - a. In a circle graph, a sector containing 82...Ch. 10.2B - A percentage bar graph with 100 is drawn to depict...Ch. 10.2B - Prob. 17ACh. 10.2B - Prob. 18ACh. 10.3 - Explain the concept of association as it is...Ch. 10.3 - Jacquie argued that scatterplots had little value...Ch. 10.3 - Prob. 6MCCh. 10.3 - The Garcia family drew a circle graph of their...Ch. 10.3 - Prob. 9MCCh. 10.3 - Prob. 10MCCh. 10.3 - A teacher surveyed 8 students in a class to find...Ch. 10.3 - Prob. 2NAEPCh. 10.3A - Assessment The graph below shows the population of...Ch. 10.3A - Assessment The graph shows the number of snow...Ch. 10.3A - Assessment The graph shows the US rates of adult...Ch. 10.3A - Prob. 5ACh. 10.3A - Prob. 6ACh. 10.3A - Prob. 7ACh. 10.3A - Assessment Consider an arithmetic sequence with...Ch. 10.3A - Prob. 9ACh. 10.3A - Assessment In the following scatterplots, find an...Ch. 10.3A - Assessment The following data show the amount of...Ch. 10.3A - Assessment If a trend line has equation...Ch. 10.3A - Assessment If a trend line has equation y=150.8x,...Ch. 10.3A - Assessment For each of the following pairs of...Ch. 10.3B - Prob. 1ACh. 10.3B - Prob. 2ACh. 10.3B - Prob. 3ACh. 10.3B - Prob. 4ACh. 10.3B - Prob. 5ACh. 10.3B - Prob. 6ACh. 10.3B - Prob. 7ACh. 10.3B - Prob. 8ACh. 10.3B - Prob. 9ACh. 10.3B - Prob. 10ACh. 10.3B - Prob. 11ACh. 10.3B - Prob. 12ACh. 10.3B - Prob. 13ACh. 10.3B - Assessment If a trend line has equation...Ch. 10.3B - Assessment For each of the following pairs of...Ch. 10.4 - Mathematical Connections Karl had scores of...Ch. 10.4 - The mean of the five numbers given is 50: 20 35 50...Ch. 10.4 - Prob. 6MCCh. 10.4 - Mathematical Connections Explain why the mode...Ch. 10.4 - Prob. 8MCCh. 10.4 - Mathematical Connections The mean of 5,7,9 is 7....Ch. 10.4 - Mathematical Connections If each number in a set...Ch. 10.4 - Mathematical Connections What does a large...Ch. 10.4 - Mathematical Connections In each pair of variables...Ch. 10.4 - Mathematical Connections Use the data in the...Ch. 10.4 - Mathematical Connections A student asks, If the...Ch. 10.4 - Mathematical Connections Jose asks, Why can a...Ch. 10.4 - Mathematical Connections Suppose the class takes a...Ch. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Prob. 19MCCh. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Mathematical Connections Mels mean on 10 tests for...Ch. 10.4 - Mathematical Connections On the School Book Page,...Ch. 10.4 - Prob. 25MCCh. 10.4 - Mathematical Connections Given the bar graph...Ch. 10.4 - Mathematical Connections Refer to the following...Ch. 10.4 - Mathematical Connections Following are raw test...Ch. 10.4 - Josephs current test scores, in points, are 83,...Ch. 10.4 - National Assessment of Educational Progress NAEP...Ch. 10.4 - Prob. 3NAEPCh. 10.4 - Richard wants to estimate the average mean monthly...Ch. 10.4A - Assessment Calculate the mean, the median, and the...Ch. 10.4A - Prob. 2ACh. 10.4A - Assessment a. If three students scored 75 on a...Ch. 10.4A - Prob. 4ACh. 10.4A - Assessment Suppose in Selinas class there were...Ch. 10.4A - Prob. 6ACh. 10.4A - Prob. 7ACh. 10.4A - Prob. 8ACh. 10.4A - Prob. 9ACh. 10.4A - Prob. 10ACh. 10.4A - Prob. 11ACh. 10.4A - Assessment The city of Podunk advertised itself as...Ch. 10.4A - Prob. 13ACh. 10.4A - Prob. 14ACh. 10.4A - Prob. 15ACh. 10.4A - Assessment Following are box plots comparing the...Ch. 10.4A - Prob. 17ACh. 10.4A - Assessment The following table shows the heights...Ch. 10.4A - Assessment What is the standard deviation of the...Ch. 10.4A - Prob. 20ACh. 10.4A - Prob. 21ACh. 10.4A - Assessment The average phone call in a certain...Ch. 10.4A - Prob. 23ACh. 10.4A - Prob. 24ACh. 10.4A - Prob. 25ACh. 10.4A - Prob. 26ACh. 10.4A - Prob. 27ACh. 10.4A - Prob. 28ACh. 10.4B - Calculate the mean, the median, and the mode for...Ch. 10.4B - Prob. 2ACh. 10.4B - Prob. 3ACh. 10.4B - Prob. 4ACh. 10.4B - Prob. 5ACh. 10.4B - Prob. 6ACh. 10.4B - Prob. 7ACh. 10.4B - Prob. 9ACh. 10.4B - Prob. 10ACh. 10.4B - Prob. 11ACh. 10.4B - Prob. 12ACh. 10.4B - Prob. 13ACh. 10.4B - Prob. 14ACh. 10.4B - Ginnys median score on three tests was 90. Her...Ch. 10.4B - Prob. 16ACh. 10.4B - Prob. 17ACh. 10.4B - The following table shows the heights in feet of...Ch. 10.4B - a. If all the numbers in a set are equal, what is...Ch. 10.4B - In a school system, teachers start at a salary of...Ch. 10.4B - Prob. 21ACh. 10.4B - Prob. 22ACh. 10.4B - Prob. 23ACh. 10.4B - Prob. 24ACh. 10.4B - The weights of newborn babies in a certain country...Ch. 10.4B - Prob. 26ACh. 10.4B - Prob. 27ACh. 10.4B - Prob. 28ACh. 10.4B - Prob. 29ACh. 10.CR - Suppose you read that the average family in...Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - The budget for the Wegetem Crime Co. is 2,000,000....Ch. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - CHAPTER 10 REVIEW The following chart lists the...Ch. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 24CRCh. 10.CR - CHAPTER 10 REVIEW Following are the record...Ch. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 32CRCh. 10.CR - CHAPTER 10 REVIEW Give examples of several ways to...Ch. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CRCh. 10.CR - Prob. 36CRCh. 10.CR - Prob. 37CRCh. 10 - Prob. 1NTCh. 10 - Prob. 2NTCh. 10 - Prob. 4NTCh. 10 - Prob. 5NTCh. 10 - Prob. 6NTCh. 10 - Prob. 7NTCh. 10 - Prob. 8NT
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Prove that Σ prime p≤x p=3 (mod 10) 1 Ρ = for some constant A. log log x + A+O 1 log x "arrow_forwardProve that, for x ≥ 2, d(n) n2 log x = B ― +0 X (금) n≤x where B is a constant that you should determine.arrow_forwardProve that, for x ≥ 2, > narrow_forwardI need diagram with solutionsarrow_forwardT. Determine the least common denominator and the domain for the 2x-3 10 problem: + x²+6x+8 x²+x-12 3 2x 2. Add: + Simplify and 5x+10 x²-2x-8 state the domain. 7 3. Add/Subtract: x+2 1 + x+6 2x+2 4 Simplify and state the domain. x+1 4 4. Subtract: - Simplify 3x-3 x²-3x+2 and state the domain. 1 15 3x-5 5. Add/Subtract: + 2 2x-14 x²-7x Simplify and state the domain.arrow_forwardQ.1) Classify the following statements as a true or false statements: Q a. A simple ring R is simple as a right R-module. b. Every ideal of ZZ is small ideal. very den to is lovaginz c. A nontrivial direct summand of a module cannot be large or small submodule. d. The sum of a finite family of small submodules of a module M is small in M. e. The direct product of a finite family of projective modules is projective f. The sum of a finite family of large submodules of a module M is large in M. g. Zz contains no minimal submodules. h. Qz has no minimal and no maximal submodules. i. Every divisible Z-module is injective. j. Every projective module is a free module. a homomorp cements Q.4) Give an example and explain your claim in each case: a) A module M which has a largest proper submodule, is directly indecomposable. b) A free subset of a module. c) A finite free module. d) A module contains no a direct summand. e) A short split exact sequence of modules.arrow_forward1 2 21. For the matrix A = 3 4 find AT (the transpose of A). 22. Determine whether the vector @ 1 3 2 is perpendicular to -6 3 2 23. If v1 = (2) 3 and v2 = compute V1 V2 (dot product). .arrow_forward7. Find the eigenvalues of the matrix (69) 8. Determine whether the vector (£) 23 is in the span of the vectors -0-0 and 2 2arrow_forward1. Solve for x: 2. Simplify: 2x+5=15. (x+3)² − (x − 2)². - b 3. If a = 3 and 6 = 4, find (a + b)² − (a² + b²). 4. Solve for x in 3x² - 12 = 0. -arrow_forward5. Find the derivative of f(x) = 6. Evaluate the integral: 3x3 2x²+x— 5. - [dz. x² dx.arrow_forward5. Find the greatest common divisor (GCD) of 24 and 36. 6. Is 121 a prime number? If not, find its factors.arrow_forward13. If a fair coin is flipped, what is the probability of getting heads? 14. A bag contains 3 red balls and 2 blue balls. If one ball is picked at random, what is the probability of picking a red ball?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License