STATISTICS AND PROBABILITY 11 Q4 1701 PS.pptx

STATISTICS AND PROBABILITY

1. Lesson 17.1 The Nature of Bivariate Data

2. At the end of the lesson, you should be able to illustrate the nature of bivariate data. (M11/12SP-IVg-2) .

3. C orrectly classify data as univariate or bivariate . C orrectly illustrate the nature of bivariate data.

4. Research is vital to any company. One useful concept in statistics is determining whether a relationship exists between two or more numerical or quantitative variables.

5. For example, educators are interested in determining whether the IQ of a student is related to the student’s score on a particular test. A businessman may want to know whether sales for a given month are related to the amount of advertising the firm does for that month. On the other hand, medical researchers are interested if there is a relationship between caffeine and heart muscle deterioration or if there is a relationship between a person's age and their blood sugar levels. These variables are considered bivariate data.

6. In this lesson, you will learn about the nature of bivariate data.

7. How can you transform qualitative data into quantitative data? For what reasons would you need to transform quantitative data into qualitative data?

8. These are d ata that are numerical. It can be obtained by counting or measuring. Examples: H air length, amount of time, and the number of pencils are examples of quantitative data. Quantitative Data

9. These are data that are nonnumerical. It refers to descriptions and characteristics that cannot be counted or measured. Examples: H air color, virtuosity , and texture are examples of qualitative data. Qualitative Data

10. These are data that involve only one variable. Examples: A ge , floor area, and gender are examples of univariate data. Univariate Data

11. These are d ata that involve two variables. Examples: A cademic performance and self-esteem and height and weight are examples of bivariate data. Bivariate Data

12. Example 1 : Which of the following data is quantitative? a. cellphone brand b. school location c. price of a bag

13. Solution: Cellphone brand and school location are categorical. On the other hand, the price of a bag can be represented by a number. Thus, it is quantitative. Example 1: Which of the following data is quantitative? a. cellphone brand b. school location c. price of a bag

14. Example 2 : A group of researchers conducted a survey on the amount of time spent by students online per week and their average grade. What is the nature of data and type of variable shown by the given situation?

15. Solution: The amount of time spent by students online per week, and their average grade is bivariate because it involves two variables. Furthermore, each variable is quantitative since they both involve quantities. Example 2: A group of researchers conducted a survey on the amount of time spent by students online per week and their average grade. What is the nature of data and type of variable shown by the given situation?

16. Individual Practice: Which of the following data is NOT bivariate? height of a plant amount of fertilizer and number of fruits English grade and Math grade A hospital has a record of their patients’ ages and cholesterol levels. What is the nature of data and type of variable shown in this case?

17. Group Practice : To be done in pairs You belong to a research group that will explore the average number of books read and grammar proficiency of teenagers. How will you measure these variables? What nature of data and type of variables is involved in your study?

18. Quantitative data are data that are numerical. It can be obtained by counting or measuring. Qualitative data are data that are nonnumerical. It refers to descriptions and characteristics that cannot be counted or measured.

19. Univariate Data are data that involve only one variable. Bivariate Data is data that involve two variables.

20. Guerra, Rudy and David M. Lane. “Introduction to Bivariate Data." Online Statistics Education: A Multimedia Course of Study. Retrieved 20 September 2019 from https://bit.ly/2kW3Uyv Jackson, Cathryn. “What is Bivariate Data? - Definition & Examples.” Study.com. Retrieved 20 September 2019 from https://bit.ly/2kVZzvd