Inter quartile range

Inter quartile range

1. Interquartile Range Conceptual Explanation Interquartile Range

2. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. Interquartile Range

3. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 Interquartile Range

4. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile Interquartile Range

5. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 50 th percentile 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile Interquartile Range

6. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 50 th percentile 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile This is called the MEDIAN Interquartile Range

7. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 50 th percentile 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile Interquartile Range

8. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 50 th percentile 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile This means that 25% of the scores fall below this point. Interquartile Range

9. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 50 th percentile 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile This means that 25% of the scores fall below this point. This means that 75% of the scores fall below this point. Interquartile Range

10. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile Interquartile Range

11. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile Interquartile Range

12. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile 50% of the scores fall between these two points Interquartile Range

13. Interquartile Range The interquartile range represents the distance between the 25 th percentile and 75 th percentile. 1 2 3 4 5 6 7 8 9 1 2 3 4 5 25 th percentile 75 th percentile 50% of the scores fall between these two points This is the Interquartile Range! Interquartile Range

14. Purposes of the Interquartile Range (IQR) Interquartile Range

15. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Interquartile Range

16. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Interquartile Range

17. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data 9 t 8 t 7 t 7 t 5 t 6 t 6 t 5 t 4 t 6 t 5 t 5 t 3 d 2 d 1 st 1 2 3 4 5 6 7 8 9 1 2 3 4 5 3 d 4 t 4 t Interquartile Range

18. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data 9 t 8 t 7 t 7 t 5 t 6 t 6 t 5 t 4 t 6 t 5 t 5 t 3 d 2 d 1 st 1 2 3 4 5 6 7 8 9 1 2 3 4 5 3 d 4 t 4 t First Interquartile Range

19. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data 9 t 8 t 7 t 7 t 5 t 6 t 6 t 5 t 4 t 6 t 5 t 5 t 3 d 2 d 1 st 1 2 3 4 5 6 7 8 9 1 2 3 4 5 3 d 4 t 4 t First Last Interquartile Range

20. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data Interquartile Range

21. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data 1 2 3 3 5 4 4 5 6 4 5 5 7 7 22 23 1 2 3 4 5 6 7 23 1 2 3 4 5 6 6 22 Interquartile Range

22. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data 1 2 3 3 5 4 4 5 6 4 5 5 7 7 22 23 1 2 3 4 5 6 7 23 1 2 3 4 5 6 6 22 Mean = 7 Median = 5 Interquartile Range

23. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data 1 2 3 3 5 4 4 5 6 4 5 5 7 7 22 23 1 2 3 4 5 6 7 23 1 2 3 4 5 6 6 22 IQR Interquartile Range

24. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data 1 2 3 3 5 4 4 5 6 4 5 5 7 7 22 23 1 2 3 4 5 6 7 23 1 2 3 4 5 6 6 22 IQR Standard Deviation = 5.3 Interquartile Range

25. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data 1 2 3 3 5 4 4 5 6 4 5 5 7 7 8 9 1 2 3 4 5 6 7 1 2 3 4 5 6 6 IQR 8 9 Standard Deviation = 2.3 Notice how the Standard Deviation drops from 5.3 to 2.3. Interquartile Range

26. Purposes of the Interquartile Range (IQR) The Interquartile Range (IQR) is a helpful measure of spread for two scenarios. Rank ordered Data Highly Skewed Data 1 2 3 3 5 4 4 5 6 4 5 5 7 7 8 9 1 2 3 4 5 6 7 1 2 3 4 5 6 6 IQR 8 9 Standard Deviation = 2.3 Notice how the Standard Deviation drops from 5.3 to 2.3 . However the IQR stays the same. Interquartile Range

27. The End Interquartile Range