Quartiles_Ungrouped_Datawww_Revised.pptx

Math ppt

1. Quartiles (Ungrouped Data) Definition, Formula, Steps, and Example

2. Introduction to Quartiles Quartiles divide a data set into four equal parts. They help in understanding data distribution and variability.

3. Quartile Formula To find quartiles: Q1 = (1/4)(n+1)th value Q2 = (Median) (n+1)/2 th value Q3 = (3/4)(n+1)th value

4. Steps to Find Quartiles 1. Arrange data in ascending order. 2. Find the total number of observations (n). 3. Calculate Q1, Q2, and Q3.

5. Step 1: Arrange Data in Ascending Order Organize the dataset from smallest to largest value.

6. Step 2: Find the Total Number of Observations (n) Count the number of data points in the set.

7. Step 3: Calculate Q1, Q2, and Q3 • Q1 = (1/4)(n+1)th value • Q2 = (n+1)/2 th value (Median) • Q3 = (3/4)(n+1)th value

8. Example Problem Find Q1, Q2, and Q3 for the dataset: 3, 7, 8, 12, 13, 14, 18, 21, 23, 27.

9. Step-by-Step Solution 1. Arrange the data (already sorted). 2. Find n = 10. 3. Calculate: • Q1 = 3rd value = 8 • Q2 = Median = 13 • Q3 = 8th value = 21

10. Graphical Representation A boxplot visually represents quartiles and outliers in data.

11. Real-Life Applications of Quartiles 1. Analyzing income distribution 2. Evaluating student test scores 3. Understanding weather patterns

12. Summary of Key Points • Quartiles divide data into four equal parts. • Q1 = First Quartile, Q2 = Median, Q3 = Third Quartile. • Used in statistics for data analysis and interpretation.

13. Thank You! Any questions?