a student randomly selected 5 basketball players after a tournament and recorded the total points each…

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? 1.5 5.8 6 30

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? 1.5 5.8 6 30

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{17 + 29+22 + 31+36}{5}=\frac{135}{5}=27$.

Step2: Calculate the absolute - deviations

$|17 - 27|=10$, $|29 - 27| = 2$, $|22 - 27|=5$, $|31 - 27| = 4$, $|36 - 27|=9$.

Step3: Calculate the mean of the absolute - deviations

The mean absolute deviation $MAD=\frac{10 + 2+5 + 4+9}{5}=\frac{30}{5}=6$.

Answer:

C. 6