Given list of values

values = [46, 47, 64, 44, 54, 56, 58, 61, 50, 51, 46, 54, 53, 52, 34, 46]

Calculate Q1 (25th percentile) and Q3 (75th percentile)

Q1 = np.percentile(values, 25) Q3 = np.percentile(values, 75)

Calculate IQR

IQR = Q3 - Q1 IQR_rounded = round(IQR, 4) IQR_roundedThe Interquartile Range (IQR) of the given list of values is 8.5000 (rounded to four decimal places).

Would you like to explore more about this calculation or have any other questions?

Here are some related questions:

1. What do Q1 and Q3 represent in a data set?
2. How does the IQR help in identifying outliers?
3. What is the difference between the IQR and the range of a dataset?
4. How would the IQR change if all values in the data set were increased by a constant?
5. Why is the IQR considered a robust measure of variability?

Tip: The IQR is often used to detect outliers. Values that lie below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR are typically considered outliers.