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A student randomly selected 5 basketball players after a tournament and recorded the total points each player scored in the game.


Points scored: {17, 29, 22, 31, 36}


What is the estimated mean absolute deviation of the players in the tournament?

A1.5

B5.8

C6

D30

Verified Answer :

Amlia200

Its actually C.... I took the quiz

boffeemadrid

Answer:

(C)6

Step-by-step explanation:

The given point scores are:

{17, 29, 22, 31, 36}

In order to find mean absolute deviation of the players in the tournament, first find the mean of the given point scores, thus

\(Mean=\frac{17+29+22+31+36}{5}=\frac{135}{5}=27\)

Now, subtract the mean from each value, thus

Value                                              Distance from mean

17                                                              10

29                                                             2

22                                                             5

31                                                              4

36                                                             9

Thus, Mean absolute deviation is:

\(MAD=\frac{10+2+5+4+9}{5}=\frac{30}{5}=6\)

Therefore, option C is correct.

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