Math Problem Statement
Below is a sample quantitative data set.
424.4 380 473.1 369.6 340.8 288.9 548.4 399.7 388.1 395.9 441.9 461.7 523.5 467.7 505.1 474.3 387.8 463.1 292.7 525.7 446.8 412.4 295 298.1 264.9 501.5 299.2 543.1 474.3 339.2 379.8 317.8 369.6 283.6 387.5 585.7 447.7 430.3 385.8 497.8 577.8 369.6 385.3 372.7 402.1 286.8 402.1 423.4 287.9 551.5 474.3 591.9 386.5 599.9 Find the first quartile for this data set. Q1 =
Find the third quartile for this data set. Q3 =
Find the interquartile range for this data set. IQR =
Solution
For the given data set:
- First Quartile (Q1) = 369.6
- Third Quartile (Q3) = 474.3
- Interquartile Range (IQR) = 104.7
Would you like more details or have any other questions?
Here are 5 related questions:
- How do we calculate quartiles for grouped data?
- Can you explain how the interquartile range helps measure data spread?
- What is the significance of outliers in relation to the IQR?
- How do you interpret the median in comparison to Q1 and Q3?
- How would the calculation change if you added more data points?
Tip: The interquartile range is robust against outliers, making it a valuable measure of statistical dispersion.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Quartiles
Interquartile Range
Formulas
First Quartile (Q1) = (n + 1) / 4
Third Quartile (Q3) = 3(n + 1) / 4
Interquartile Range (IQR) = Q3 - Q1
Theorems
Quartile Calculation
Interquartile Range Calculation
Suitable Grade Level
Grades 9-12