1. A dataset contains the prices of houses in a city. Find the 25th and 75th percentiles and calculate the interquartile range (IQR). How does the IQR help in understanding the price variability?
PROGRAM:
import numpy as np
# Example dataset of house prices
house_prices = [250000, 300000, 320000, 350000, 400000, 420000, 450000, 500000, 550000, 600000]
# Calculate the 25th percentile (Q1)
q1 = np.percentile(house_prices, 25)
# Calculate the 75th percentile (Q3)
q3 = np.percentile(house_prices, 75)
# Calculate the Interquartile Range (IQR)
iqr = q3 - q1
# Print results
print("25th percentile (Q1):", q1)
print("75th percentile (Q3):", q3)
print("Interquartile Range (IQR):", iqr)OUTPUT:
25th percentile (Q1): 327500.0
75th percentile (Q3): 487500.0
Interquartile Range (IQR): 160000.0