Here is a set of sample data
2	3	8	12	13
14	17	38	46	48
52	92	94	97	100

Identify the 5 number summary (min, Q1, median, Q3, max) 
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, 
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To calculate the **5-number summary** (Minimum, Q1, Median, Q3, Maximum) for the given dataset, we follow these steps:

### Step 1: Organize the Data
Here’s the dataset provided, sorted in ascending order:
\[ 2, 3, 8, 12, 13, 14, 17, 38, 46, 48, 52, 92, 94, 97, 100 \]

### Step 2: Calculate the Five Number Summary

1. **Minimum (Min)**: This is the smallest value in the dataset.
   \[
   \text{Min} = 2
   \]

2. **First Quartile (Q1)**: This is the median of the lower half of the dataset (excluding the overall median if the dataset has an odd number of observations). The lower half consists of:
   \[ 2, 3, 8, 12, 13, 14, 17 \]
   The median of this lower half is the value in the middle:
   \[
   Q1 = 12
   \]

3. **Median (Q2)**: This is the middle value of the dataset. Since we have 15 data points, the median is the 8th value:
   \[
   \text{Median} = 38
   \]

4. **Third Quartile (Q3)**: This is the median of the upper half of the dataset (excluding the overall median if the dataset has an odd number of observations). The upper half consists of:
   \[ 46, 48, 52, 92, 94, 97, 100 \]
   The median of this upper half is:
   \[
   Q3 = 92
   \]

5. **Maximum (Max)**: This is the largest value in the dataset.
   \[
   \text{Max} = 100
   \]

### Final 5-number summary:
- **Min**: 2
- **Q1**: 12
- **Median**: 38
- **Q3**: 92
- **Max**: 100

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Would you like further details or have any questions? 

Here are some related questions to expand on this:

1. How do you calculate quartiles for larger datasets?
2. Can you explain the interquartile range (IQR) and how it's used?
3. How does the five-number summary help in identifying outliers?
4. How would the five-number summary change if an additional data point was added?
5. What are the differences between the five-number summary and a box plot?

**Tip**: The interquartile range (IQR) is a useful measure of variability that is resistant to outliers, calculated as \( IQR = Q3 - Q1 \).

Identify the 5-number summary (min, Q1, median, Q3, max) for the dataset: 2, 3, 8, 12, 13, 14, 17, 38, 46, 48, 52, 92, 94, 97, 100

Learn how to calculate the 5-number summary (Min, Q1, Median, Q3, Max) for a given dataset. This problem involves organizing data and finding the quartiles. Suitable for students in Grades 6-10, this guide explains key concepts such as quartiles and interquartile range (IQR).

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