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2 years ago

Bag contains 4 red marbles, 2 blue marbles, 1 purple

Mathematics

1 answer:

GaryK [48]2 years ago

6 0

Answer:

432

Step-by-step explanation:

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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

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{3627}{12} = 302.25$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted Data: 263, 265, 267, 292, 302, 308, 311, 316, 324, 325, 325, 329

$\text{Median} = \dfrac{6^{th}+7^{th}}{2}=\dfrac{308+311}{2} = 309.5$

b) mean and median weight for the defensive linemen

$Mean =\displaystyle\frac{3313}{12} = 276.08$

Sorted Data: 255, 256, 260, 261, 265, 268, 276, 281, 282, 286, 306, 317

$\text{Median} = \dfrac{6^{th}+7^{th}}{2}=\dfrac{268+276}{2} = 272$

c) Comparison

On comparing the mean and median of offensive and defensive linemen, offensive tends to be heavier

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