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 = 
 

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:
1. How do we calculate quartiles for grouped data?
2. Can you explain how the interquartile range helps measure data spread?
3. What is the significance of outliers in relation to the IQR?
4. How do you interpret the median in comparison to Q1 and Q3?
5. 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.

Find the first quartile (Q1), third quartile (Q3), and interquartile range (IQR) for the given 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.

Learn how to calculate the first quartile (Q1), third quartile (Q3), and interquartile range (IQR) for the data set. This problem involves key statistical concepts, including quartile calculation and the interquartile range formula. Suitable for students in Grades 9-12.

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