Range from a Frequency Distribution with Grouped Data
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Interquartile & Semi Interquartile Range (Quartile Deviation) from a Frequency Distribution with Grouped Data
Definition
Courtesy: Online Math Learning
https://www.onlinemathlearning.com
https://www.onlinemathlearning.com/quartile.html
Courtesy: Online Math Learning
https://www.onlinemathlearning.com
https://www.onlinemathlearning.com/quartile.html
Using a Cumulative Frequency Curve to determine the IQR
Illustration
Courtesy: Marley Pitcock
https://slideplayer.com/slide/1425530
Courtesy: Marley Pitcock
https://slideplayer.com/slide/1425530
General Steps to determine the IQR & SIQR from a Cumulative Frequency Curve
Step 1: Draw a Cumulative Frequency Curve
Step 2: Find the position of the Lower Quartile using the formula - n / 4
Step 3: Draw Across the Cumulative Frequency Curve to determine the Lower Quartile (Q1)
Step 4: Find the position of the Upper Quartile using the formula - 3n/ 4
Step 5: Draw Across the Cumulative Frequency Curve to determine the Upper Quartile (Q3)
Step 6: Inter Quartile Range (I.Q.R) = Q3 - Q1
Step 7: Semi Inter Quartile Range (S.I.Q.R) = (Q3 - Q1) / 2 or I.Q.R / 2
Step 2: Find the position of the Lower Quartile using the formula - n / 4
Step 3: Draw Across the Cumulative Frequency Curve to determine the Lower Quartile (Q1)
Step 4: Find the position of the Upper Quartile using the formula - 3n/ 4
Step 5: Draw Across the Cumulative Frequency Curve to determine the Upper Quartile (Q3)
Step 6: Inter Quartile Range (I.Q.R) = Q3 - Q1
Step 7: Semi Inter Quartile Range (S.I.Q.R) = (Q3 - Q1) / 2 or I.Q.R / 2
Video III
Courtesy: Onmaths
https://www.onmaths.com
https://www.youtube.com/channel/UCYypEyzw5jLRE2QdCJIB3ZA
Courtesy: Onmaths
https://www.onmaths.com
https://www.youtube.com/channel/UCYypEyzw5jLRE2QdCJIB3ZA
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