Q4_W1-INTRO-TO-STATISTICS.pptxyesyesyesyes
- 1. STATISTICS
- 2. At the end of the lesson, the student should be able to: • Define Statistics, • Differentiate qualitative and quantitative data, and continuous and discrete. • Identify the uses and importance of Statistics clearly.
- 3. Statistics An area of applied mathematics concerned with data collection analysis, interpretation, and presentation. It generally deals with the collection of data, tabulation, and interpretation of numerical data, and on how data can be used to solve complex problems.
- 4. Types of Statistics Descriptive Statistics: focuses on describing and analyzing a dataset's main features and characteristics without making any generalizations to a larger population. Inferential Statistics: the practice of using sampled data to draw conclusions or make predictions about a larger sample data sample or population.
- 5. • Population: A collection of a set of individual objects or events whose properties are to be analyzed. • Sample: It is the subset of a population.
- 6. • Data: refers to observations and measurements which have been collected in some way, often through research. We have quantitative and qualitative data. 1. Quantitative (Numerical) : Data that is recorded as numbers. It has subcategories namely Discrete (can be counted finitely) and Continuous (can take values from infinite range) data.
- 7. Examples of Numerical Data: A. Discrete Data 1. Number of boys and girls in grade 7 per section Sunflower 2. The result of rolling 3 dice 3. The number of books in the shelves B. Continuous Data 1. The heights of all grade 7 students 2. Age of a persons 3. Distance travelled by an airplane overtime
- 8. • Data: refers to observations and measurements which have been collected in some way, often through research. We have quantitative and qualitative data. 2. Qualitative (Categorical) :it measures data represented by a name or symbol. Information or questions that are answerable by YES or NO.
- 9. Example: 1. Since our country is infected with Corona Virus, do you follow the health protocols given by the Department of Health? 2. Wintermelon is my favorite milktea flavor. 3. Blue signifies calmness, tranquility, relaxation and peace.
- 13. Variable: Are the characteristics or attributes that you are observing, measuring and recording data for. The value of a variable varies from one subject (i.e. person, place or thing) to another. We have independent and dependent variable.
- 14. Independent variable: also known as the predictor variable, it is the one that potentially influences, affects or predicts the other variable. Dependent variable: known as the outcome variable) is the one that is potentially influenced, affected or predicted.
- 15. Let’s try! 1. Decide whether you would treat each of the following as categorical or continuous for the purposes of analysis
- 16. Let’s try! Decide whether you would treat each of the following as categorical or continuous for the purposes of analysis Categorical: • Breed of Dogs • Country of birth • Eye color • Religion • Living situation • Occupation • Food group Continuous: • Annual Income • Amt of rent paid each week • Number of patients admitted to a hospital in a day • Population of a city • Handspan • Height • House price • Score on IQ test • Boiling point in degrees
- 17. Let’s try! Decide whether the variables shown contain data that is nominal, ordinal, discrete or continuous
- 18. Let’s try! Decide whether the variables shown contain data that is nominal, ordinal, discrete or continuous Nominal: • Marital Status • Smoking status (smoker or non- status) Ordinal: • Satisfaction level • Type of exercise Discrete: • Number of cars in a car park • Number of students in class • Number of children in family Continuous: • Weight • Blood glucose level • Time taken to complete a task
- 20. How can we say if a question is a Statistical Question or a Non-Statistical?
- 21. A statistical question will ask a question where the answer can vary. Once data is collected and analyzed, the answer can provide an explanation of the information. A non-statistical question will have data, but the results will not vary. There will only be one answer.
- 22. The 4 steps below can be followed to solve real life problems using statistics: 1. Pose the question that can be answered by data. 2. Determine a plan to collect data. 3. Organize and summarize the data. 4. Interpret the results and answer the question posed in Step 1 using the organized and summarized data
- 23. Identify which are examples of Statistical Questions. 1. How old are you? 2. How old are the students in grade 7? 3. Do students who spend more time in studying do better in exam? 4. How many members does the K-pop group, Seventeen, have? 5. Do you like red? 6. Do the students spend more time in playing outside than scrolling in social media?
- 24. On January 20, 2020, the first case of COVID-19 was reported in the Philippines. This event was followed by the declaration of the COVID-19 outbreak as a global pandemic by the WHO on March 11, 2020. To solve this problem, data are gathered to answer the following statistical questions. Observe that the data needed to answer the statistical questions have different nature.
- 25. How many people on every province of the country are being infected by the virus, daily? (Discreet data) What sectors of the society are severely affected by the pandemic? (Categorical data) Among age groups of people in the country who are most vulnerable to be infected by the virus? (Categorical data) How long do people recover from the virus? (Continuous data)
- 26. I. Which are the examples of Numerical Data? And identify if it Discrete or Continuous. a.Flavors of milktea b.Weight of students c.Your daily allowance d.Menu on canteen e.Age of the student teachers f.Number of days in April g.3rd Quarter honors h.Gender of Grade 7 students i.Number of months in a year j.Religion of Grade 7 students
- 27. II. Identify if it a Statistical question or not. Explain why. 1.What are colors in our national flag? 2.How many hours do grade 7 students spend on social media? 3.Does giving more assessments to students help them to understand the lesson better? 4.Do you like cheesecake, ice cream, and cookies? (Summarizing question) (Relationship question)
- 28. III. Write at least 3 statistical questions that can be answered by collecting data from your class. 1. 2.