Questions: Find the mean and median weight for the offensive linemen. Round the answers to one decimal place. The mean weight of the offensive linemen was lb and the median weight was lb.

Solution Steps

To find the mean and median weight for the offensive linemen, we will:

1. Calculate the mean by summing all the weights and dividing by the number of weights.
2. Calculate the median by sorting the weights and finding the middle value (or the average of the two middle values if the number of weights is even).

To find the mean weight of the offensive linemen, we sum all the weights and divide by the number of weights: \[ \text{Mean} = \frac{328 + 298 + 313 + 326 + 312 + 314 + 327 + 304 + 286 + 305 + 267 + 315}{12} \] \[ \text{Mean} = \frac{3895}{12} \approx 307.9 \]

To find the median weight, we first sort the weights in ascending order: \[ [267, 286, 298, 304, 305, 312, 313, 314, 315, 326, 327, 328] \] Since there are 12 weights (an even number), the median is the average of the 6th and 7th values: \[ \text{Median} = \frac{312 + 313}{2} = 312.5 \]

Final Answer