Here is a sample data set.

420.1	416	427.2	467.8	421.9	385
484.6	514.1	514.6	343.4	308.9	488.5
423.3	346.7	503	479	452.4	425.5
322.6	281.7	405.3	479.2	428.2	411.3
359	450.8	380.1	429.8	320	422
376.9	426.5	419.7	376.8	378.8	376.8
281.4	410.7	429.8	387.7	377.3	420.8
420.3	357.8	376.8	320.7	331.8	426.6
391.2	437.5	429.8	329	505.8	419.7

Find the first quartile for this data set.
q1 = Correct

Find the third quartile for this data set.
Q3 =

Find the interquartile range for this data set.
IQR

The first quartile (Q1) is \( 376.8 \).

The third quartile (Q3) is \( 429.8 \).

The interquartile range (IQR) is \( 53.0 \).

Would you like more details or have any further questions?

Here are some related questions:
1. How do quartiles help in understanding data distribution?
2. What are outliers, and how can IQR help identify them?
3. How do I calculate quartiles for grouped data?
4. Can the IQR be used to compare different data sets?
5. What are the implications of a large IQR in a data set?

**Tip:** The IQR is a great measure of variability since it's resistant to outliers!

Find the first quartile for this data set. Find the third quartile for this data set. Find the interquartile range for this data set.

Explore how to find the first quartile (Q1 = 376.8), third quartile (Q3 = 429.8), and interquartile range (IQR = 53.0) for a given data set. This problem demonstrates key statistical concepts suitable for Grades 9-11.

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