Here is a set of sample data
1	5	6	9	10
33	36	37	43	45
46	48	49	52	59
63	80	81	85	89
92	94	96

Identify the 5 number summary (min, Q1, median, Q3, max)
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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.

Identify the 5 number summary (min, Q1, median, Q3, max) for the dataset: 1, 5, 6, 9, 10, 33, 36, 37, 43, 45, 46, 48, 49, 52, 59, 63, 80, 81, 85, 89, 92, 94, 96.

Learn how to calculate the 5-number summary for a data set. This step-by-step solution explains how to find the minimum, first quartile (Q1), median, third quartile (Q3), and maximum for the data set {1, 5, 6, 9, 10, 33, 36, 37, 43, 45, 46, 48, 49, 52, 59, 63, 80, 81, 85, 89, 92, 94, 96}. Suitable for students in Grades 8-10.

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