To find the 5-number summary (Minimum, Q1, Median, Q3, Maximum), we need to arrange all the numbers in order and then calculate the key values.

Here is the dataset in order:

1, 5, 6, 9, 10, 33, 36, 37, 43, 45, 46, 48, 49, 52, 59, 63, 80, 81, 85, 89, 92, 94, 96

Steps:

1. Minimum (Min): The smallest number in the data set.
2. First Quartile (Q1): The median of the lower half of the data (excluding the overall median if the number of data points is odd).
3. Median: The middle value of the dataset.
4. Third Quartile (Q3): The median of the upper half of the data (excluding the overall median if the number of data points is odd).
5. Maximum (Max): The largest number in the dataset.

Calculations:

• Min: 1 (smallest value)
• Q1: The lower half is {1, 5, 6, 9, 10, 33, 36, 37, 43, 45, 46}, and its median (Q1) is 36.
• Median: The full dataset has 24 values, so the median is the average of the 12th and 13th values: (48 + 49) / 2 = 48.5.
• Q3: The upper half is {48, 49, 52, 59, 63, 80, 81, 85, 89, 92, 94, 96}, and its median (Q3) is 81.
• Max: 96 (largest value)

Final 5-number summary:

Min = 1, Q1 = 36, Median = 48.5, Q3 = 81, Max = 96

Would you like further details or clarifications?

Here are some related questions:

1. How do you calculate quartiles for a dataset with an odd number of values?
2. What is the interquartile range (IQR) and how is it useful?
3. How do outliers affect the 5-number summary?
4. What are the implications of a large gap between Q1 and Q3?
5. How does the 5-number summary help in creating box plots?

Tip: When calculating quartiles, always ensure your data is sorted in ascending order to avoid mistakes.