What is a random variable?

A possible values are numerical outcome of a random phenomenon.

Model for probability distribution

Capacity of the number of the value of random variable.

What is a sample space?

It is represent the all possible outcomes taken together.

Numerical index of the likelihood

Producing data that can reveal purpose.

Which of the following questions is not answerable using statistical process?

What is the most trending app for social media?

How old is the oldest man residing in the Philippines?

What is a typical size of a Filipino family?

What is a probability distribution?

The outcome of statistical experiment with its probability of occurrence.

Tools for organizing and summarizing the observation.

Tools for generalizing beyond the actual observation.

Which of the following statements is discrete data?

The number of green M&M's in a bag.

The time it takes for a car battery to die.

The production of tomatoes by weight.

Intro to Statistics and Probability/Discrete and Continuous Random Variable

Q1. A teacher designs a lesson where students compute real-life percentages such as discounts and savings. 👉 A student calculates 15% of 200 to determine savings in a purchase. What is the correct result? A. 20 B. 25 C. 30 D. 35 Q2. In a classroom activity, learners compare numbers to find the highest common factor for grouping materials evenly. 👉 What is the GCF of 24 and 36? A. 6 B. 8 C. 12 D. 18 📘 FRACTIONS, DECIMALS, AND POWERS Q3. A learner converts fractions into percentages for data interpretation. 👉 What is 3/4 expressed as a percentage? A. 50% B. 60% C. 75% D. 80% Q4. A student models exponential growth using repeated multiplication. 👉 What is the value of 252^525? A. 25 B. 30 C. 32 D. 64 📘 ALGEBRA (EQUATIONS AND EXPRESSIONS) Q5. A teacher guides students to solve equations that represent real-life situations. 👉 Solve: 2x+8=202x + 8 = 202x+8=20 A. x = 4 B. x = 6 C. x = 8 D. x = 10 Q6. Students simplify expressions to understand relationships between quantities. 👉 Simplify: 3(x+4)−2x3(x + 4) - 2x3(x+4)−2x A. x + 12 B. x + 4 C. 5x + 4 D. 5x + 12 📘 FUNCTIONS AND GRAPHING Q7. A student analyzes a linear equation to determine its rate of change. 👉 What is the slope of y=3x−5y = 3x - 5y=3x−5? A. -5 B. -3 C. 3 D. 5 Q8. A learner evaluates functions to predict outcomes. 👉 If f(x)=2x+3f(x) = 2x + 3f(x)=2x+3, what is f(4)f(4)f(4)? A. 7 B. 9 C. 11 D. 14 📘 GEOMETRY Q9. Students explore geometric shapes and their properties through visual models. 👉 What is the sum of interior angles of a triangle? A. 90° B. 180° C. 270° D. 360° Q10. A student calculates the area of a classroom table with dimensions 8 cm by 5 cm. 👉 What is the area? A. 26 sq cm B. 30 sq cm C. 40 sq cm D. 48 sq cm 📘 MEASUREMENT AND FIGURES Q11. A learner determines the volume of a cube used in a science experiment. 👉 What is the volume of a cube with side 4 cm? A. 16 cubic cm B. 32 cubic cm C. 48 cubic cm D. 64 cubic cm Q12. Students identify shapes used in design projects. 👉 How many sides does a hexagon have? A. 5 B. 6 C. 7 D. 8 📘 STATISTICS AND PROBABILITY Q13. A teacher helps students interpret data sets using measures of central tendency. 👉 What is the mean of 4, 6, 8, 10, 12? A. 6 B. 8 C. 10 D. 12 Q14. A class experiment involves flipping a fair coin. 👉 What is the probability of getting heads? A. 1/4 B. 1/3 C. 1/2 D. 2/3 📘 WORD PROBLEMS (APPLICATION) Q15. A car travels 180 km in 3 hours during a learning task on speed. 👉 What is its average speed? A. 45 km/h B. 60 km/h C. 75 km/h D. 90 km/h Q16. Students analyze work efficiency in a project. 👉 If 5 workers complete a task in 12 days, how long will 10 workers take? A. 3 days B. 6 days C. 8 days D. 12 days Q17. A student solves a problem involving ratios in a classroom population. 👉 If the ratio of boys to girls is 3:2 and there are 30 students, how many boys are there? A. 12 B. 15 C. 18 D. 20 Q18. A learner determines the duration of a scheduled trip. 👉 A journey starts at 8:30 AM and ends at 11:15 AM. How long is the trip? A. 2 hrs 15 mins B. 2 hrs 30 mins C. 2 hrs 45 mins D. 3 hrs 15 mins Q19. A student computes simple interest for financial literacy. 👉 What is the simple interest on ₱1000 at 5% for 2 years? A. ₱50 B. ₱75 C. ₱100 D. ₱150 Q20. A learner solves a perimeter problem involving a rectangle. 👉 A rectangle has a length of 12 cm and perimeter of 34 cm. What is the width? A. 5 cm B. 7 cm C. 10 cm D. 11 cm ✅ ANSWER KEY (BASED ON YOUR REVIEWER) (All verified from your uploaded file) [ilide.info...002acd4e5a | PDF] QAnswer1C2C3C4C5B6A7C8C9B10C11D12B13B14C15B16B17C18C19C20A

Directions: The following sentence has been split into segments (A-C). One of them may contain an error. Identify the segment that contains a grammatical error. If you don’t find an error, mark “No Error” as your answer. 1. An organization refer to a large group of individual that is formally A B C organized for the purpose of attaining a goal. 2. Personality refers to the consistent pattern of attitudes and beliefs A B that an individual projects to the social world. C 3. Statistics are a form of mathematical analysis that uses quantified A B C models. 4. Love is a thing characterized by strong feelings of affection for A B C another arising out of companionship or admiration. 5. Nobody wants to miss the deadline for submitting their assignment. A B C

Why and How Managers Plan Importance of planning The planing process Benefits of planning Planning and time management Types of PLans used by managers Long term and short term plans Strageic and tactical plans Operational plans Planning Tools and Techiqunes Forecasting Contrigency planning Scenario planning Benchmaking Use of staff planners Implementing Plans to Achive Results Goal setting Goal management Goal alignment Participation and involvement Planning Def: The process of setting objectives and determining how best to accomplish them Planning at Eaton Corporation “Making the hard decision before events force them upon you, an anticipating the future needs of the market before the demand asset itself Objectives and goals Identifity the specific results or desired outcomes that one intends to achieve Plan Def: A statement of action steps to be taken in order to accomplish the objectives (goals) Steps in the planning process: Define your objectives Determine where you stand vis-a-vis objectives Develpo premises reagrdsing future conditions Analyze alternatives and make a plan Implement the plan and evaluate results What are the benefits of planning Improves focus and flexibility Imporves action orteitation Imporves coordination and control Imporves time management Time Managment Personal time management tips Do say “no” to request that distract you form what you should be doing Dont get bogged down inn details that can be addressed later Do screen telephone calls, emails and meeting request Dont let drop in visitors, text messaging use up your time Do prioritize your important and urgent work Dont become calendar bound by letting other control your schedule Do follow priorities; do most important and urgent work first Some 77% of mangers in one survey said that digital age has increased th number of decisions they have to make 43% said there was less time available to make these decisions Types of plans used by Managers What is teh time horizon Long term vs Short term Long term Look three or more years into teh future Short term plans Typically cover one year or less However: the increasing environmental complexity and dynamism of recent years has severely tested the concept of “long-term” planning Plans are subject to frequent revisions Most executives would likely agree that these complexities adn uncertainties challenge how er actually go about planning and how far ahead we can really plan At the very least we can conclude that there is a lot less permanency to long term plans today and that tey are subject to frequent revision Managment reaeracher Eillot Jaques believes tha people vary in their capability to think with different time horizons Types of Plans used by Managers (3 of 5) Strategic plans Set broad, comprehensive and linger term action directions for teh entire organization or major division Vision Clarifies purpose of the organization and what it hopes to be on the future Typical plans Specify how the organizations resources are used to implement strategy Tactical plans in business often take the form of functional plans Functional plans Incidate how different component within the organiztion will help accompnlish the overall strategy Production plans Finacial plans Facilites Plans Logisitc plans Marketing plans Human Resource Plans Operation plans Describe short-term activities to implement strategic plans Policies: Are standing plans that communicate guidelines for decisions Ex: Policies on office romances: The media is quick to report when a top executive or public figures runs into trouble over an office affair. Are there ant policies on office romances? Employer polices on office raltioshiis vary. One survey find teh following: 24% prohibit relationships among employees in the same department 13% prohibit relationships among employees who have the smae supervisor 80% prohibit relationships between supervisors and subordinates 5% have no restrictions on office romances Procedures: Are rules that describe actions to be taken in specific situations Budgets: are single use plans that commit resources to projects or activities Zero based budgets: allocate resources as if each budget were brand new There is no guarantee that any past funding will be renwer. All propsales, old and new, must compete for available funds at teh start of each new budget cycle Forcasting Attempts to predict the future Qualitaive forecasting uses expert opinions Quantitative forecasting uses mathematical models and statiscal aanylsis of historical data dna surveys Contingency planning Identify alternative course of action to take when things go wrong Anticipate changing conditions Contain trigger points to indicate when to activate plan (or a specific course of action) Scenario planning A long term version of contingency planning Identifying alternative future scenarios Plans made for each future scenario Increases organizations flexibility and preparation for future shocks Benchmarking Use of external and internal comparisons to better evaluate current performance Adopting best practices: things people adn organization do that lead to superior performance Staff Planners Experts who assist in all steps of the planning process They help bring focus and expertise to a wide variety of planning tasks Important: Communication between staff planers landline managers is essential for teh success of teh planning process Goal Setting - Always set SMART goal The solution: Goal Aligment Between Team Leader and Team Member Jonintly plan: Set objectives, set standards, choose actions Individually acy: Perform tasks (member), provide support (leader) Jointly control: Review results, discuss implications, renew cycle x4 Collective effort and commitment Participatroy planning Includes in all planning steps that people who will be affected by the plans adn askedd to help implement them Unloacks motivational potential of goal setting Management by objective (MBO) promotes participation Participation increases understanding and acceptance of plan and commitment to success Participatory planning - Number of people involved in teh decision making process Amazon is intensely focused on what it does. It believes in creating tight single-threaded teams, also known as “2 pizza team.” Data and Decision Making What are some of the important competencies managers must have today? Delegate Marketing and technology Manager must have Technological competency Ability to understand new technologies and to use them to their best advantage Information competency Ability to locate, gather, organize and display information for decision-making and problem solving Analytical competency Ability to evaluate and analyze information to make actual decisions and solve real problems What is the difference between Data and Information Data Raw facts and observation Information Data made useful and meaningful for decision-making Important concepts Big data Exists in huge quantities and is difficult to process without sophisticated mathematical and analytical techniques Data production today Bernard Marr is an internationally best-selling author. He helps organizations improve their business performance, use data more intelligently Data mining The process of analyzing data to produce useful information for decision-makers Management Analytics The systematic evaluation and analysis of data to make informed decision Information drives management Bad Data Refers to information that can be erroneous, misleading, and without general formatting The challenge: Can er use the data that is available in the “Big Data” Needs to be valid Can not trust everything out there Being ethical Look at the trends Data is structured and unstructured Data BIg Data = Structured + Unstructured Information Drive Management decision making What are the characteristics of useful information Easy to access If its credible Accurate Characteristics of useful information: Timely High quality Complete Relevant Understandable What about bad data It's not credible Miss information If it is not structured/ organized Bias based on opinions Confusing If its updated Bad data Refers to information that can be erroneous miss What are some examples of Management information system Business intelligence -BI Information systems to extract and report data in organized ways that are useful to decision-makers Executive dashboards Visually update and display key performance metrics (or Key Performance Indicators -KPIs) and information on a real-time basis Information needs in organization External Environment Information exchanges with the external environment Gather intelligence information Provide public information Information needs within the organizations (internal Enviroement) Information exchange within the organization Facilitate decision making Facilitate problem-solving Managers as information processors Continually gather, share and receive information Now as much electronic as it is face-to-face Always on, always connected How many people telecommute at least once a week 70% of people globally work remotely at least once a week, Work at home after covid 19 our forecast Our best estimate it that 25-30% of the workforce will be working form home multiple days a week by the end of 2021 As of 2023, 12.7% of full time employees work from home, while 28.2% work a hybrid model Managers as problem solvers Problem-solving The process of identifying a discrepancy between actual and desired performance and taking action to resolve it Ishikawa Fishbone diagram To identify the cause of problems Decision A choice among possible alternative courses of action Performance threat Something is wrong or has the potential to go wrong Performance opportunity The situation offers the chance for a better future if the right steps are taken Problem-solving approaches or style - from textbook Problem avoiders Inactive in information gathering and solving problems Problem seekers Proactive in anticipation of problems and opportunities and taking appropriate action to gain an advantage Problem solvers Reactive in gathering information and solving problem Managers - can approach problems in a systematic or intuitive manner Systematic thinking approaches problem in rational, step-by-step and analytical fashion Intuitive thinking approaches problems in a flexible and spontaneous fashion Multidimensional thinking- applies both intuitive and systematic thinking Managers face structured and unstructured problems Structure problems Are ones that are familiar, straight forward, and clear with respect to information needs Program decisions apply solutions that are readily available from past experiences to solve structured problems Know how to solve them Familiar Know what we are dealing with Unstructured problems Are ones that are full of ambiguities and information deficiencies Nonprogrammed decisions apply a specific solution to meet the demands of a unique problem Commonly faced by higher-level management Crisis decision making A crisis involves an unexpected problem that can lead to disaster if not resolved quickly and appropriately Ruled for crisis management Figure out what is going on Remember that speed matters Remember that slow counts, too Respect the danger of the unfamiliar Value the skeptic Be ready to “fight fire with fire” Managers make decisions with various amounts of information Certain environment Offers complete information on possible action alternatives and their consequences Risk environment Lacks complete information but offers probabilities of the likely outcomes for possible action alternatives Uncertain environment Lacks so much information that it is difficult to assign probabilities to the likely outcomes of alternative Ex: Certain and uncertain environments: The worldwide Governance Indicators for over 200 countries, comparing distinct environments (Canada-Brazil) Step 1-Identify and define the problem Focuses on information gathering information processing and deliberation Decision objectives should be established What are some common mistakes in definding problems? Common mistakes in defining problems Defining the problem too broadly or too narrowly Focusing on symptoms instead of causes Choosing the wrong problem to deal with Step 2- Generate and Evaluate Alternative Courses of Action Potential solutions are formulated and more information is gathered, data are analyzed, the advantages and disadvantages of alternative solutions are identified Common mistakes: Abandoning the search for alternatives too quickly Step 3- Decide on a preferred course of Action Two different approaches Behavioural model leads to satisficing decisions Classical model les to optimising decisions Behavioural Model Rationality is bounded because: There are limits our thinks capacity Available information (incomplete) Time constraints Step 4-Implement the decision Involves taking action to make sure the solution decided upon becomes a reality Managers need to have the willingness and ability to implement action plans Problems: Lack of participation error should be avoided Step 5 - Evaluate Results Involves comparing actual and desired results The positive and negative consequences of the chosen course of action should be examined If actual results fall short desire results, the manager returns to earlier steps in the decision-making process At all steps, check ethical reasoning Ask these spotlight questions Utility Does teh decision satisfy all constituents or stakeholders Rights Does the description respect the rights and duties of everyone? Justice Is the decision consistent with the canons of justice Caring Is the decision consistent with my responsibilities to care? Issues in decision-making How do errors happen? Heuristics: are strategies for simplifying decision-making Availability Bias: Bases a decision on recent information or events Representativeness bias: Bases a decision on similarity to other situations Anchoring and Adjustment Bias: Bases a decision on incremental adjustment from a prior decision point Framing error: Tring to solve a problem in the context perceived, positive or negative Confirmation Error: Focusing on information that confirms a decision already made Escalating commitment: Continuing a course of action even though it is not working Creative Decision making Creativity is the generation of a novel idea or unique approach that solves a problem or crafts an opportunity Big C: Creativity occurs when extraordinary things are done by exceptional people Little C: Creativity occurs when average people come up with unique ways to deal with daily events and situations The three types of situational creativity drivers Chapter review What are objectives and goals? The specific results or desired outcomes What are the 5 characteristics of great (SMART) goals? Forecasting - Attempts Qualitative forecasting uses options Quantitative forecasting uses mathematical models and statistical analysis of historical data and surveys Scenarios-Oracle’s crystal ball combines qualitative and quantitative methods

Measuring the Effectiveness of police strategies and operations Clearance rates Def: The proportion of incidents known to the police that result in teh identification of a suspect Crime Displacement Def: relocation-due to the effective crime prevention, crime response initiates criminal activity from one local to another Professional Model of Policing Model of police work, reactive, incident driven and centred on random patrol Three Rs: random patrol, rapid response and reactive investigation Community policing Def: policing centred on police-community partnership and problem-solving The three ps: prevention, problem solving and partnership with the proactive role Community-based strategic policing Def: The model incorporates community policing with prevention, crime response and crime attack approaches Community engagement, police services strategic in their policies and operations Crime Analytics Sophisticated programs, and crime maps, provide intelligence to police officers in patrol and investigative units Intelligence-led policing: guided by collection, and analysis of information informs police decision-making Compstat: Increase effectiveness, and efficiency of police service while holding police personnel accountable for crime reduction Predictive policing: statistical analysis, identify time and location likely to occur Limited analytical capacity and not able to provide their officers with real-time information Biased policing certain areas, or persons, being identified as important for police attention in predictive policing How Predictive Policing Software Works The Police and the community Public Attitudes toward and Confidence in the police Community-based strategic policing: Recruitment, and deployment of volunteers in community police stations, storefronts Foot and bike patrols Team policing Restorative Justice Approaches Alternative for addressing, and resolving crime, needs of victims, offenders and the community Victim offender meditation Circle sentencing Community holistic healing programss Family group conferences Crime Prevention and Response Strategies Crime Prevention progemas Aimed at reducing crime, generating community involvement and heightening citizens; perceptions of safety Primary crime prevention programs opportunities for criminal offences and alter those conditions Secondary crime prevention programs focus on areas that produce crime and disorder Tertiary crime prevention programs are designed to prevent youth and adults from reoffending The Broken Windows Approach If minor crimes are left unaddressed in an environment, more serious crimes will emerge (originated in New York City in the 1980’s) “The exictsnce of unchecked and uncontrolled mirror incivilites in a neighbourhood- for example, panhandling, public drunkenness, vandalism and graffiti-produces an atmosphere conducive to more serious crime.” R.H. Burke Zero tolerance policing Zero tolerance policing: Strict order maintenance approach- specific area, coupled with high police visibility and presence Quality of life policing: Increased police visibility improves conditions in an area by targeting disruptive and annoying behaviour Problem Oritented policing (POP) Strategy, the idea that police should address teh cause of recurrent crime and disorder Root causes of recurring problems Solutions to problems Collabortaion with community SARA (scanning, analysis, response and assessment) problem-solving model helps officers identify, and respond to problems with the assistance of agencies, organizations, community groups The Police and Vulnerable/ At risk groups Persons with Mental Illness Patrol officers encountering more and more persons with mental illness (PwMi) Number of these end trragically Number of incidents increased significantly following deinstitutionalization of the mentally ill - in 1960 and 1970 De facto (in fact) mental health workers, first responders Crisis intervention training (CIT) Assertive outreach teams Assertive community treatment (ACT) teams Indigenouse, Vulnerable, and Marginalized women Sexual assault one of most underreported crimed. 1 in 20 incidents report to police. Many Women Do not want to deal with police Believe police would not take allegation seriously Language, cultural barriers Distrust the police Fear repercussions Missing and Murdered Indigenous women Canada, unknown number of missing and murdered indigenous women 2016, federal government announced National inquiry into Missing and Murdered Indigennouse women and girls Three goals of MMIWG 1. Finding the truth 2. Honouring the truth 3. Giving life to the truth as a path of healing

Question 1: What is the primary purpose of using rubrics in assessment? A. To reduce the number of assignments teachers must grade B. To give students random feedback C. To assess learner performance using specific criteria and levels D. To make grading faster and easier for instructors Question 2: Which of the following is a characteristic of analytic rubrics? A. Assess the entire task as a whole B. Provide a single descriptive paragraph for all criteria C. Use multiple criteria with individual performance descriptors D. Do not include any scoring scale Question 3: What is one benefit of using rubrics in education? A. They eliminate the need for grading B. They confuse learners about expectations C. They help provide informative and constructive feedback D. They discourage students from revising their work Question 4: When choosing between an analytic and a holistic rubric, which is true? A. Holistic rubrics provide detailed feedback for each component B. Analytic rubrics assess the task as a whole C. Holistic rubrics are used to give a general judgment of overall performance D. Analytic rubrics are used when no feedback is needed Question 5: Which of the following is not a step in developing a rubric? A. Define the purpose of the learning task B. Choose rubric type C. Design final exam questions D. Write performance descriptors Question 6 What does “content validity” refer to in assessment instruments? A. The extent to which the test predicts future performance B. The extent to which test items cover the intended content C. How consistent the results of the test are over time D. The judgment of whether a test looks valid on the surface Question 7 Which type of reliability involves the consistency of scores given by two or more raters? A. Intra-rater reliability B. Test-retest reliability C. Inter-rater reliability D. Internal consistency Question 8 Which statistical method is used to confirm that all items measure the intended construct? A. Content mapping B. Guessing analysis C. Construct charting D. Confirmatory Factor Analysis (CFA) Question 9 According to the PDF, what is one way to increase the validity of an assessment instrument? A. Shorten the test to reduce variability B. Apply penalties for guessing C. Conduct a vetting session with experts D. Use the same rater for all responses Question 10 In the affective domain construct map, what is the highest level of affective behavior? A. Responding B. Valuing C. Characterisation D. Organisation

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