The weights of the starting lineup of a football team are as follows (in pounds)

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’s the median ?

Answer 1

To find the median of the given weights, we first need to sort them in ascending order.

Here are the weights sorted from smallest to largest:

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

Next, we determine the total number of weights. There are 24 weights in this data set.

To find the median, we need to locate the middle value(s). Since there are 24 weights (an even number), the median will be the average of the 12th and 13th values in the sorted list.

The 12th value is 235, and the 13th value is 237.

Now we calculate the median:

\[ \text{Median} = \frac{235 + 237}{2} = \frac{472}{2} = 236 \]

Therefore, the median weight of the football team’s starting lineup is 236 pounds.