To calculate the mean and median of the data set provided, I will first extract the data and then compute both values.

Let's start by processing the data and calculating the mean and median.

Data Set:

224, 211, 211, 211, 288,
255, 212, 192, 291, 283,
251, 200, 206, 283, 205,
221, 256, 245, 245, 205,
217, 241, 224, 236, 236,
231, 262, 227, 213, 213,
221, 248, 202, 150, 150,
212, 268, 226, 226, 309,
182, 276, 214, 305, 305,
285, 217, 249, 349, 352,
196, 284, 209, 209

Let's proceed with the calculations for the mean and median.

I'll compute them for you now. numpy as np

Data set from the image

data = [ 224, 211, 211, 211, 288, 255, 212, 192, 291, 283, 251, 200, 206, 283, 205, 221, 256, 245, 245, 205, 217, 241, 224, 236, 236, 231, 262, 227, 213, 213, 221, 248, 202, 150, 150, 212, 268, 226, 226, 309, 182, 276, 214, 305, 305, 285, 217, 249, 349, 352, 196, 284, 209, 209 ]

Calculate mean and median

mean_value = np.mean(data) median_value = np.median(data)

mean_value, median_valueThe mean of the data set is approximately 237.76, and the median is 226.

Would you like further details or clarifications on these calculations?

Here are some related questions for further exploration:

1. How do you calculate the mean and median manually?
2. What is the impact of outliers on the mean and median?
3. How do you calculate the mode of a data set?
4. How does the spread of data affect the choice between mean and median?
5. What are quartiles, and how do they relate to the median?

Tip: When working with large data sets, consider using a spreadsheet program like Excel or Google Sheets for easier calculation of mean, median, and other statistical measures.