import numpy as np import pandas as pd

Data

data = [2, 3, 1, 22, 13, 17, 12, 32, 23, 19, 25, 24, 11, 23, 23, 26, 40, 50, 28, 18, 6, 11, 12]

Sorting the data

sorted_data = sorted(data)

Calculating median

median = np.median(data)

Calculating mode

mode = pd.Series(data).mode().tolist()

Calculating Q1 and Q3

q1 = np.percentile(data, 25) q3 = np.percentile(data, 75)

median, mode, q1, q3(19.0, [23], 11.5, 24.5)(19.0, [23], 11.5, 24.5)successFor the given data, the calculated values are:

• Median: 19.0
• Mode: 23 (most frequently occurring number)
• Q1 (First Quartile): 11.5
• Q3 (Third Quartile): 24.5

Would you like a detailed explanation of these calculations or have any additional questions?

Here are 5 related questions for further exploration:

1. How are quartiles different from percentiles?
2. Can you calculate the interquartile range (IQR) using Q1 and Q3?
3. How would you handle finding the mode if there were no repeated values?
4. What is the significance of these statistics in real-world data analysis?
5. How would outliers affect the median and mode?

Tip: For skewed datasets, the median is often a better measure of central tendency than the mean.