Question

217 235 212 253 233 171 184 301
256 297 247 226 237 241 195 204
197 214 166 309 281 303 309 299

What is the median of the data

Answer 1

To find the median of the given data set, we first need to organize the data in ascending order. Let's do that:

The data points are:

217, 235, 212, 253, 233, 171, 184, 301,
256, 297, 247, 226, 237, 241, 195, 204,
197, 214, 166, 309, 281, 303, 309, 299

Arranging these numbers in ascending order:

166, 171, 184, 195, 197, 204, 212, 214,
226, 233, 235, 237, 241, 247, 256, 253,
281, 297, 301, 303, 299, 309, 309

Now, counting the number of observations, there are 24 points in total.

To find the median of a set with an even number of observations, we take the average of the two middle numbers. The two middle numbers are the 12th and 13th numbers in the ordered list.

The 12th number is 237, and the 13th number is 241.

Calculating the median:

\[
\text{Median} = \frac{237 + 241}{2} = \frac{478}{2} = 239
\]

Therefore, the median of the given data set is **239**.