Ethan and three friends kept track of their average points scored in each basketball game over the season. The results are shown below. Which player is the most consistent? Basketball Scoring Statistics Player Mean Score Interquartile Range Adam 10.9 1.4 Ben 16.7 1.8 Ethan 14.2 2.2 Joaquin 12.9 0.9 Adam, because his mean score is the lowest Ben, because his mean score is the highest Ethan, because his interquartile range is the highest Joaquin, because his interquartile range is the lowest
Answers
Ethan and three friends kept track of their average points scored in each basketball game over the season. The results are shown below. Which player is the most consistent? Basketball Scoring Statistics Player Mean Score Interquartile Range Adam 10.9 1.4 Ben 16.7 1.8 Ethan 14.2 2.2 Joaquin 12.9 0.9 Adam, because his mean score is the lowest Ben, because his mean score is the highest Ethan, because his interquartile range is the highest Joaquin, because his interquartile range is the lowest
Step-by-step explanation:
The table of mean points and Inter Quartile Range in every game by 4 players, Ethan, Adam, Ben and Joaquin
Explanation:
A consistent player will not score many points in one game and score very few points in another. He will score on average similar points in most of the games.
The Mean is a measure of the average points that are scored by each player. If one player scores excellently in a single game and badly in the next game, the mean will be the average of the two games played. We can not decipher anything about consistency from this.
On the flipside, the Inter Quartile Range is a measure of variability which signifies how close or how far the data points are.
In order to determine this, the data set will be arranged from the lowest to the highest and then divided in parts called "quartiles". The middle value will be taken from each of these parts/quartiles and the difference in these middle values is known as the IQR.
We will get an idea of the how far apart the data points are from one another. ∴ Inter Quartile Range will be high if the points scored in every game is very spread out (i.e. inconsistent) and it will be low if the points scored in every game is roughly the same (i.e., consistent).
Therefore, the player with the lowest Inter Quartile Range will also be the most consistent player. We see that Joaquin is the player with the lowest Inter Quartile Range because his Inter Quartile Range is the lowest.
Joaquin is the most consistent player since he has the lowest Inter Quartile Range.
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Answer:
Ethan and three friends kept track of their average points scored in each basketball game over the season. The results are shown below. Which player is the most consistent? Basketball Scoring Statistics Player Mean Score Interquartile Range Adam 10.9 1.4 Ben 16.7 1.8 Ethan 14.2 2.2 Joaquin 12.9 0.9 Adam, because his mean score is the lowest Ben, because his mean score is the highest Ethan, because his interquartile range is the highest Joaquin, because his interquartile range is the lowest
Step-by-step explanation:
The table of mean points and Inter Quartile Range in every game by 4 players, Ethan, Adam, Ben and Joaquin
Explanation: I took test
A consistent player will not score many points in one game and score very few points in another. He will score on average similar points in most of the games.
The Mean is a measure of the average points that are scored by each player. If one player scores excellently in a single game and badly in the next game, the mean will be the average of the two games played. We can not decipher anything about consistency from this.
On the flipside, the Inter Quartile Range is a measure of variability which signifies how close or how far the data points are.
In order to determine this, the data set will be arranged from the lowest to the highest and then divided in parts called "quartiles". The middle value will be taken from each of these parts/quartiles and the difference in these middle values is known as the IQR.
We will get an idea of the how far apart the data points are from one another. ∴ Inter Quartile Range will be high if the points scored in every game is very spread out (i.e. inconsistent) and it will be low if the points scored in every game is roughly the same (i.e., consistent).
Therefore, the player with the lowest Inter Quartile Range will also be the most consistent player. We see that Joaquin is the player with the lowest Inter Quartile Range because his Inter Quartile Range is the lowest.
Joaquin is the most consistent player since he has the lowest Inter Quartile Range.