Math Problem Statement
Determine the IQR of the data below.
Solution
The sorted data is: .
- First Quartile (Q1): 12.0
- Third Quartile (Q3): 15.0
- Interquartile Range (IQR): 3.0
The IQR is the difference between Q3 and Q1, which is 3.0.
Would you like further details or have any questions?
Here are 5 related questions to expand on this topic:
- How is the interquartile range (IQR) useful in detecting outliers?
- How do you calculate quartiles when the data size is very large?
- What is the difference between IQR and standard deviation in measuring spread?
- Can you explain the significance of the median in relation to quartiles?
- How would adding or removing a number affect the IQR of this dataset?
Tip: The IQR is a robust measure of variability, as it is less sensitive to extreme values compared to the range.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Interquartile Range (IQR)
Quartiles
Formulas
IQR = Q3 - Q1
Theorems
Quartiles theorem
IQR theorem
Suitable Grade Level
Grades 7-10
Related Recommendation
Calculate the Interquartile Range for Data Set 28,7,45,4,32,41,49,26,49,27,45,25,49,52,25
How to Calculate the Interquartile Range (IQR) for a Given Dataset
How to Calculate the Interquartile Range for a Given Dataset
How to Find the Interquartile Range for the Data Set 4, 3, 4, 1, 6
Calculate Inter Quartile Range (IQR) from Data Set - Step-by-Step Guide