interpretation-of-data of mathematics.pptx

This can help to understand more about interpretation of data

1. INTERPRETING MEASURE OF POSITION

2. Learning Objectives Recognize the connection between the definition of a measure of position and its interpretation in a given distribution Interprets a particular measure of position in a distribution Appreciate the importance of interpretation of measure of position in real-life situation

3. Let’s Interpret In preparation for Palarong Pambansa, Mr. Booc , as Region VII, athletics team coach, asked his 10 players to run for 100 meters, Mark, one of the player, ran completely in 9 minutes which is 4 th decile of the recorded time. What does it mean?

4. Interpretations In preparation for Palarong Pambansa, Mr. Booc , as Region VII, athletics team coach, asked his 10 players to run for 100 meters, Mark, one of the player, ran completely in 9 minutes which is 4 th decile of the recorded time. What does it mean? 40% of the distribution has a value less than or equal to the 4 th decile . There are 3 people who runs slower than Mark.

5. Questions for Analysis What does it mean when you interpret data? How would you interpret data? How important is the interpretation of data in a measure of position in any given distribution? What is the impact of the measure of position in your life as a grade 10 student ?

6. Questions for Analysis What does it mean when you interpret data? Data interpretation is the process of analyzing data to conclude it. It involves understanding the data, its context, and its implications. It is a critical step in the data analysis process, and it can also answer questions, test hypotheses, and make decisions.

7. Questions for Analysis How would you interpret data? Quantitative data is number-based, countable, or measurable. Qualitative data is interpretation-based, descriptive, and relating to language. Quantitative data tells us how many, how much, or how often in calculations. Qualitative data can help us to understand why, how, or what happened behind certain behaviors.

8. Questions for Analysis How important is the interpretation of data in a measure of position in any given distribution? Measures of position  give us a way to see where a certain data point or value falls in a  sample  or  distribution . A measure can tell us whether a value is about the  average , or whether it’s unusually high or low. Measures of position are used for  quantitative data  that falls on some numerical scale ..

9. Group 1 Based on the survey conducted by the Barangay Health Office of Barangay San Jose, the third quartile (Q 3 ) of the ages of the 200 Grade 10 students of that barangay are 16 years old. What does it mean?

10. Group 2 The score of Niña in the 3 rd quarter exam in Math is in the 8 th decile (D 8 ) and the passing score is in 65 th percentile (P 65 ), did she pass the test?

11. Group 3 Teacher Rina, the health coordinator of RED National High School, recorded the height of 40 students in a Grade 10 class for computing Body Mass Index (BMI). Based on her report, Mary’s height is in the 60 th percentile (P 60 ). How many students are shorter than Mary? How many students are taller than Mary? If Xander’s height is in the 3 rd quartile, how can you compare it with Mary’s height? If Sofeya’s height is in the 4 th decile, how can you compare it with Xander’s height? If Sofeya’s height is in the 4 th decile, compare with Mary’s height, what can you say?

12. Group 4 Mr. Joseph is applying as a staff worker of a shoe factory in Marikina Shoes. During the interview, he asked the manager about the salary he would get once he is hired. The manager told him that it is in the 4.5 th decile. What does the manager’s answer to Mr. Joseph mean? If Mr. Joseph’s friend is also a staff worker in that shoe factory and receives a salary which is in the 2 nd quartile, which of them has a higher salary? Explain. If the manager told Mr. Joseph that starting next month, he will receive a salary which is in the 3 rd quartile, should he be glad with that? Explain

13. Group 5 The first quartile (Q 1 ) of the ages of the 120 employees of RD Cola company is 30 years old. What does it imply?

14. Group 6 Mrs. Regala’s advisory class has 35 students. She made a report on the weight of each student as part of the feeding program of the school. Ruben one of the students, has a weight which is in the 7 th decile. How many students have a weight greater than then him? (Each of them has a unique weight.)

15. How to interpret data? A measure of position determines the position of a single value in relation to other values in a sample or a population data set. Unlike the mean and the standard deviation, descriptive measures based on  quantiles  are not sensitive to the influence of a few extreme observations. For this reason, descriptive measures based on quantiles are often preferred over those based on the mean and standard deviation (Weiss 2010). Measures of position also allow us to compare values from different distributions

16. By trio Direction: Make an interpretation of the data in the following situation. Rona’s score is the 30 th percentile in the summative test in mathematics. If the passing score is D4, did she pass the test? Explain, (The values of P 30 and D 4 are not equal) 2. During the flag ceremony, Miss Ritz asked her advisory class with 45 students to form a line according to height from the shortest to the tallest. One of the students, Jona , has a height that is in the 40 th percentile. Assuming that none of the students has the same height, how many students are taller than Jona ?

17. Assessment: Direction: Interpret the data based on the measure of position it indicates. Jason got a score of 90 which Is the 88 th percentile in the first summative test in mathematics. Which of the following is TRUE? He passed the test if the passing score is the 9 th decile. Eighty-eight percent of the class got scores less than or equal to 90. Twelve percent of the class got scores less than or equal to 90. He scored above 90% of his classmates. The second quartile of the ages of the 50 Grade 7 students of MNHS is 12 years old. Which of the following is TRUE? Most of the students are aging 12 years old All of the students are aging 12 years old There are 12 students aging 12 years old There are 25 students that the ages are less than or equal to 12 years old