Question 1 0.5 pts

Instructions: This assignment is regarding measures of central tendency. It is related to your Chapters 2 and 3 (Salkind) material. It is not timed but assignment must be submitted by the specified due date.

Always save a copy of your responses to the individual assignments before you submit them (either by taking a picture of your answers or by copying and pasting your answers into a word document). You will need them for you discussion assignment and you will not always have access to your responses after you submit them.

Below are actual statistics from the 2022-2023 Miami Heat Basketball team. These data represent the percentage of field goals each player made during the regular season (calculated by the number of field goals made divided by the number of field goals attempted). In basketball, a field goal is any shot taken from the court. Field goals include two- pointers, three-pointers, layups, and slam dunks–with a higher score indicating more shots made per attempt, so if a player has a field goal percentage of 35, that means they made 35% of the shots they tried to make.

Miami Heat Player Name Field Goal %

Jimmy Butler 53.9

Bam Adebayo 54

Tyler Herro 43.9

Max Strus 41

Kyle Lowry 40.4

Victor Oladipo 39.7

Caleb Martin 46.3

Gabe Vincent 40.2

Kevin Love 38.8

Cody Zeller 62.7

Duncan Robinson 37.1

Dewayne Dedmon 49.6

Nikola Jovic 40.6

Jamal Cain 56.1

Omer Yurtseven 59.3

Haywood Highsmith 43.1

Udonis Haslem 34.5

Jamaree Bouyea 46.2

Orlando Robinson 52.8

Dru Smith 35.7

6/3/24, 4:38 PM Quiz: Individual HW 5/6 – Means and Standard Deviations Summer 24

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Question 2 0.5 pts

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Question 3 0.5 pts

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Question 4 1 pts

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Question 5 1 pts

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What is the average field goal percentage for the players on the Heat? Round your final answer to three decimal places.

What is the median field goal percentage for the players on the Heat?

What is the mode for the field goal percentage for the Heat?

There is no mode

53.9

43.5

45.8

Using the data provided, what is the variance for the Heat dataset? Round your answer to 3 decimal places.

Using the data provided, what is the standard deviation for the Heat dataset? Round your answer to 3 decimal places.

Below are actual statistics from the 2022-2023 Denver Nuggets Basketball team. These data represent the percentage of field goals each player made during the regular season (see above for explanation of what field goal percentage represents).

Why are we looking at the Nuggets too? Well, you might remember that the Heat played the Nuggets in the NBA finals in 2023 and lost, so maybe we can do some number crunching to figure out who is really the better team!

Denver Nuggets Player Name Field Goal %

Nikola Jokic 63.2

Jamal Murray 45.4

Michael Porter Jr. 48.7

Aaron Gordon 56.4

Bones Hyland 39.9

Bruce Brown 48.3

Kentavious Caldwell-Pope 46.2

Reggie Jackson 38.3

Jeff Green 48.8

6/3/24, 4:38 PM Quiz: Individual HW 5/6 – Means and Standard Deviations Summer 24

https://fiu.instructure.com/courses/201412/quizzes/1187546/take 2/5

 

 

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Question 6 0.5 pts

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Question 7 0.5 pts

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Question 8 0.5 pts

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Question 9 1 pts

Zeke Nnaji 56.1

DeAndre Jordan 76.5

Vlatko Cancar 47.6

Christian Braun 49.5

Thomas Bryant 48.5

Peyton Watson 49.2

Ish Smith 39.7

Davon Reed 31.3

Jack White 42.1

What is the average field goal percentage for Denver? Round your answer to two decimal places.

What is the median field goal percentage for Denver? Round your answer to one decimal places.

What is the mode for field goal percentage for Denver?

46.2

76.5

48.8

There is no mode

Based on your answer to the previous questions, which measure of central tendency do you think would be best to describe field goal percentage for the Denver Nuggets team? Do you think the mean, median, or mode is the most accurate way to describe the team? Explain your answer.

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6/3/24, 4:38 PM Quiz: Individual HW 5/6 – Means and Standard Deviations Summer 24

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Question 10 1 pts

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Question 11 0.5 pts

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Question 12 1 pts

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Question 13 0.5 pts

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Using the data provided, what is the variance for the Nuggets dataset? Round your answer to 3 decimal places.

Using the data provided, what is the standard deviation for the Nuggets dataset? Round your answer to 3 decimal places.

Which team seems to have players with the higher field goal percentage overall? Explain your answer. How did you come this conclusion?

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Which team seems to have more variability in their dataset?

The Nuggets

The Heat

Neither team has more variability

6/3/24, 4:38 PM Quiz: Individual HW 5/6 – Means and Standard Deviations Summer 24

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Question 14 1 pts

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Explain your answer to the previous question. How did you figure out which teams had more variability their dataset?

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Wait! Before you submit your assignment, make sure you have saved your answers for the mean, variance, and standard deviation for both teams! You will need them to complete future assignments!

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6/3/24, 4:38 PM Quiz: Individual HW 5/6 – Means and Standard Deviations Summer 24