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Chapter 7: Data Collection and Presentation

Chapter 7: Data Collection and Presentation. Mathematics Department Corpus Christi School. When you want to buy a phone, which brand will you buy? Apple or Samsung? . Statistics. A branch of Applied Mathematics Involves in collection, organization, presentation, and interpretation of data.

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Chapter 7: Data Collection and Presentation

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  1. Chapter 7:Data Collection and Presentation Mathematics Department Corpus Christi School

  2. When you want to buy a phone, which brand will you buy? Apple or Samsung?

  3. Statistics • A branch of Applied Mathematics • Involves in collection, organization, presentation, and interpretation of data.

  4. Statistics Statistics involves: • Data Collection; • Data Presentation; and • Describing the data collected

  5. What are Data? Data is collected from two main sources: • Population • Sample

  6. Example 1 A pharmaceutical company wishes to monitor their products. A. The population for this study is the totality of all medicinal drugs produced by the company. B. The sample would be all the drugs examined for quality control on a particular day.

  7. Example 2 A polling firm wishes to determine the voting preferences of Filipino voters for the next election A. The population for this study is the totality of all Filipinos of voting age. B. The sample would consists of all voters surveyed by the firm.

  8. Example 3 A survey is being conducted to determine the TV viewing preferences of Filipino HS students. A. The population consists of all Filipino HS students. B. The sample consists of HS students included in the survey.

  9. Therefore: A. Population – totality of all individuals or objects from which the required information is to be obtained. B. Sample – a subset or part of the population.

  10. Variable - Is the particular information of interest to be obtained from either the population or sample.

  11. Example 1 A pharmaceutical company wishes to monitor their products. The variable is the number of percentage of products passing the quality control test

  12. Example 2 A polling firm wishes to determine the voting preferences of Filipino voters for the next election The variable is the voting preference of the Filipino voters

  13. Example 3 A survey is being conducted to determine the TV viewing preferences of Filipino HS students. Some of the variables that may be studied include favourite television shows, preferred genre, and number of hours.

  14. Review: Population Sample Variable Data

  15. Observation/Scores • The values of the variable

  16. Example 4 If the variable of interest is favourite sports. Some of the values are basketball, swimming, tennis, taekwondo, badminton and archery

  17. Example 5 If the variable of interest is number of hours of sleep. Some of the values are 6, 7, and 8.

  18. Example 6 If the variable of interest is number of siblings. Some of the values are 0, 1, 2, and 3.

  19. Types of Variables 1. Qualitative – variables that measure quality or characteristic. Ex. Hair Color, Gender, Religion 2. Quantitative – variables that measure a number or an amount. a. Discrete – obtained by counting b. Continuous – obtained by measuring

  20. Classify the ff: Nationality Weight Credit Limit Voting Preference Hair Color Temperature Shirt size

  21. Identify a possible sample: 1. Students enrolled in schools in Cagayan de Oro 2. Electric consumption in Cagayan de Oro 3. Philippine Dialects 4. Religions of the World 5. Average salaries of employees in the Philippines

  22. Identify the Variable of interest 1. Survey to determine the choice of president for first time Filipino Voters 2. Study to determine the career-preferences of graduating Filipino High School Students

  23. Identify the Variable of interest 3. Study to determine the leading causes of death among Filipino Males 4. Survey to determine the most preferred movie genre of Filipinos

  24. Division in Statistics Descriptive – concerned with describing the characteristics and properties of a group of person, places or things.

  25. Division in Statistics Inferential – is used to draw inferences, prediction, conclusion and information about the properties or characteristics of a large group from the information from the small group.

  26. Identify the division of Statistics: 1. A teacher computes the average grade of her students and then determines the top ten. 2. A manager of business firm predicts future sales of the company based on the present sales.

  27. Identify the division of Statistics: 3. A psychologist investigates if there is a significant relationship between mental age and chronological age. 4. A researcher studies the effectiveness of a new fertilizer to increasing food production.

  28. Identify the division of Statistics: 5. A school administrator forecasts future expansion of a school.

  29. Parameter Is any numerical or nominal characteristic of a population. It is a value or measurement obtained from the population.

  30. Statistic Is an estimate of a parameter. It is a value or measurement obtained from a sample.

  31. Classifications of Variable 1. Discrete Variable 2. Continuous Variable 3. Dependent Variable 4. Independent Variable

  32. Discrete Variable Obtained from counting Ex. Number of students in 1I is 30.

  33. Continuous Variable Obtained through measuring Ex. Height of a Building

  34. Independent Variable A variable which affects or influences the dependent variable.

  35. Dependent Variable The variable which is affected or influenced by another variable

  36. A study to determine the favorite brand of shoes of Corpus Christians IV – Quality of shoes, price of shoes, design, size, color DV - Brand

  37. Scales of Measurement 1. Nominal Scale 2. Ordinal Scale 3. Interval Scale 4. Ratio Scale

  38. Measurement The assignment of symbols or numerals to objects or events.

  39. Nominal Scale It is used when we want to distinguish one object from another for identification purposes. Ex. Gender, Religion

  40. Ordinal Scale Data or measure arranged in some specified rank. Ex. Beauty Contest, Runners

  41. Interval Scale Used when we can say that the object is greater or lesser but we can also specify the amount of difference. Ex. Scores in a Test, Grade

  42. Ratio Scale It is like the interval unit. This is only used when one object is so many times as large or small as the other. Ex. The weight of the mother is twice as her daughter.

  43. Identify the scale of measurement: • Religion • IQ Scores • Speed of a Car • Civil Status • Address • Size of T-shirt • Salary of workers

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