DESCRIPTIVE STATISTICS - FREQUENCY DISTRIBUTION.pdf
- 2. LE A RN IN G G OA L • Understand the principle of descriptive statistics; • Apply knowledge as to the selection of the basic features of the data in descriptive statistics; • Apply knowledge as to make summary about sample and the measure.
- 3. D ES CR IP TI V E S TA TIS TI CS Purpose – to describe or summarize data in a parsimonious manner Four types Central tendency Variability Relative position Relationships
- 4. A mathematical function F R E Q U E N C Y D I S T R I B U T I O N • It is an organized tabulation of the number of individuals located in different categories in different levels of measurement. • It is a representation, either in a graphical or tabular format
- 5. A mathematical function F R E Q U E N C Y D I S T R I B U T I O N • Frequency distribution is used to organize the collected data in table form. The data could be marks scored by students, temperatures of different towns, points scored in a volleyball match, etc. After data collection, we have to show data in a meaningful manner for better understanding. Organize the data in such a way that all its features are summarized in a table.
- 6. A mathematical function F R E Q U E N C Y D I S T R I B U T I O N Scores of 10 Students in Math Quiz 15, 17, 20, 15, 20, 17, 17, 14, 14, 20
- 7. Types of Frequency Distribution Table F R E Q U E N C Y D I S T R I B U T I O N Grouped Frequency Distribution Table To arrange a large number of observations or data, we use grouped frequency distribution table. In this, we form class intervals to tally the frequency for the data that belongs to that particular class interval. Ungrouped Frequency Distribution Table In the ungrouped frequency distribution table, we don't make class intervals, we write the accurate frequency of individual data.
- 8. Example: Marks obtained by 20 students in the test are as follows. 5, 10, 20, 15, 5, 20, 20, 15, 15, 15, 10, 10, 10, 20, 15, 5, 18, 18, 18, 18. Grouped Ungrouped
- 9. Symmetrical Distribution S ha p e o f Di st r i bu t i o n • a symmetric distribution is a distribution in which the left and right sides mirror each other.
- 10. Mean Median Mode The average value The middle value The value that occurs most often V O C A B U L A R Y
- 11. Symmetrical Distribution S ha p e o f Di st r i bu t i o n • a symmetric distribution is a distribution in which the left and right sides mirror each other.
- 12. Symmetrical Distribution S ha p e o f Di st r i bu t i o n 1)No skewness(Zero skewness): if the values of variable are equidistance from the mean have equal frequency ,then the distribution is said to have symmetric or zero skewness.
- 13. Symmetrical Distribution S ha p e o f Di st r i bu t i o n Positive skewness right skewed: If the frequency of the values of the variable lower than the mean have high frequencies compared to the frequencies associated with the values of variables higher than the mean. mean>median>mode
- 14. Symmetrical Distribution S ha p e o f Di st r i bu t i o n Negative skewness right skewed: mode<median<mean
- 15. Symmetrical Distribution S ha p e o f Di st r i bu t i o n
- 21. S ha p e f Di st r i bu t i o n Pearson’s median skewness of the number of sunspots observed per year: •Mean = 48.6 •Median = 39 •Standard deviation = 39.5
- 22. • Counts how many times data occurs (frequency) • Good for small amounts of data best for quantitative univariate data D O T P L O T
- 23. • Can use more than one to compare data on the same graph • Good for large amounts of data best for quantitative univariate data B O X & W H IS KE R P LO T
- 24. best for quantitative univariate data • Counts how many times data occurs between set ranges • Good for large amounts of data H IS TO G R A M
- 25. best for quantitative bivariate data S CAT TE R P LO T • Great for analyzing correlation between two variables • Good for large amounts of data
- 26. Which of the following is best for determining correlation? Q UIZ TIM E C. Histogram B. Scatter Plot A. Box & Whisker Plot
- 27. A. Box & Whisker Plot C. Histogram B. Scatter Plot Which of the following is best for determining correlation? Q UIZ TIM E
- 28. Which of the following is best for a large amount of data? Q UIZ TIM E A. Line Graph C. Histogram B. Dot Plot
- 29. Q UIZ TIM E Which of the following is best for a large amount of data? A. Line Graph C. Histogram B. Dot Plot
- 30. Submit on Google Classroom AS SI GN ME NT • Create a question to ask your classmates, friends, and family. • Ask your question to at least 10 people and collect the data.