Respuesta :
Answer:
a) Mean = 302.25, Median = 309.5
b) Mean = 276.08, Median = 272
c) Offensive linemen tends to be heavier.
Step-by-step explanation:
We are given the following in the question:
Offense: 325, 292, 316, 308, 325, 263, 302, 311, 265, 329, 267, 324
Defense: 265, 276, 255, 306, 317, 281, 268, 282, 260, 261, 256, 286
a) mean and median weight for the offensive linemen
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{3627}{12} = 302.25[/tex]
[tex]Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}[/tex]
Sorted Data: 263, 265, 267, 292, 302, 308, 311, 316, 324, 325, 325, 329
[tex]\text{Median} = \dfrac{6^{th}+7^{th}}{2}=\dfrac{308+311}{2} = 309.5[/tex]
b) mean and median weight for the defensive linemen
[tex]Mean =\displaystyle\frac{3313}{12} = 276.08[/tex]
Sorted Data: 255, 256, 260, 261, 265, 268, 276, 281, 282, 286, 306, 317
[tex]\text{Median} = \dfrac{6^{th}+7^{th}}{2}=\dfrac{268+276}{2} = 272[/tex]
c) Comparison
On comparing the mean and median of offensive and defensive linemen, offensive tends to be heavier
