https://file.aiquickdraw.com/mathbot/file/1724857685776pudndbpc.jpg

What is the inter-quartile range for the data?

import numpy as np

# Data extracted from the image
data = [21, 4, 18, 9, 25, 16, 27, 30, 33, 15, 31]

# Sort the data
sorted_data = sorted(data)

# Calculate Q1 (25th percentile) and Q3 (75th percentile)
Q1 = np.percentile(sorted_data, 25)
Q3 = np.percentile(sorted_data, 75)

# Calculate the interquartile range (IQR)
IQR = Q3 - Q1

sorted_data, Q1, Q3, IQRThe sorted data set is: \[4, 9, 15, 16, 18, 21, 25, 27, 30, 31, 33\].

- The first quartile (Q1) is 15.5.
- The third quartile (Q3) is 28.5.
- The interquartile range (IQR) is \(28.5 - 15.5 = 13.0\).

Would you like more details or have any further questions?

Here are 5 related questions you might find useful:
1. How do you calculate the median for this data set?
2. What is the range of this data set?
3. How do you interpret the interquartile range in a data set?
4. What are outliers, and how can they be identified using the IQR?
5. How does the IQR differ from the standard deviation as a measure of spread?

**Tip:** The interquartile range is a robust measure of variability, especially useful when the data contains outliers.

Learn how to calculate the interquartile range (IQR) for a given dataset. Understand the importance of quartiles and how to interpret IQR in statistical analysis. Example dataset: [21, 4, 18, 9, 25, 16, 27, 30, 33, 15, 31].

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