The 5-number summary of a data set includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. Here's how the 5-number summary is calculated for your data set:

Data set (sorted):

$1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 10, 12, 12, 14, 14, 15, 16, 17, 24, 24$

Calculations:

1. Minimum (Min): The smallest value = 1
2. First Quartile (Q1): Median of the lower half (excluding the overall median)
   Lower half: $1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5$
   Median of lower half: $(3 + 3)/2 = 3$ → Q1 = 3
3. Median (Q2): Middle value of the sorted data set
   Middle values: $5, 6$ → Median = $(5 + 6)/2 = 5.5$ → Median = 5.5
4. Third Quartile (Q3): Median of the upper half (excluding the overall median)
   Upper half: $6, 7, 7, 8, 8, 10, 12, 12, 14, 14, 15, 16, 17, 24, 24$
   Median of upper half: $(12 + 12)/2 = 12$ → Q3 = 12
5. Maximum (Max): The largest value = 24

Final 5-number summary:

• Minimum = 1
• Q1 = 3
• Median = 5.5
• Q3 = 12
• Maximum = 24

Would you like a detailed explanation or visualization of these quartiles?

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Here are 5 related questions for further understanding:

1. How do you calculate quartiles for larger or odd-sized data sets?
2. What does the interquartile range (IQR) tell us about this data set?
3. How can outliers affect the 5-number summary?
4. How is the 5-number summary used in boxplots?
5. Can you explain the difference between population and sample data for summaries?

Tip: When dealing with grouped data or larger data sets, always verify your sorted list for errors before calculating quartiles!