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FernandaAmorim

Yes. Median per game of AllStart is 23. Maximum points of non AllStar is 18. 23>18


No. Mode: 5. Range: 7-2=5. No greater, but equal.


Yes. Sort by points. When points increase, turnover also increases. (we dont need every single data to increase, but see the behavior of data overall)

Aren't you mixing "directly proportional" with "positively correlated" in statement 3?
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1.
Median points per game of All-Star players = 23
Maximum points per game of non-All-Star players = 18
Also, when you sort the column in ascending order you can see all non-stars are smaller than All-star players so max would be less from median.
So Yes

2.
The mode of assists = 5
The range of assists = 7-2 = 5
So, not greater. Hence NO

3.
For Points and turnovers to be directly proportional to each other the ratio should be same.
For e.g. Points = K*(Turnovers)
K should be constant for proportional
Taking any 2 datapoints: for Lopez, K = 12/ 1.8 = 6.66 & for Chang, K = 27/3.4 = 7.9. So different K
Hence NO
Bunuel
The table displays performance data per season for selected professional basketball players: whether they are on the All-Star roster, field goal percentage, points per game, rebounds per game, assists per game, steals per game, blocks per game, and turnovers per game.

PlayerAll-Star (yes/no)FG%PointsReboundsAssistsStealsBlocksTurnovers
Adamsyes512494213.1
Barkerno461865102.5
Changyes5427106213.4
Diazno441553102.1
Ellisyes482075102.7
Fosteryes5522114213.0
Garciano421362101.9
Hayesyes501985112.6
Inoueyes5326127213.5
Johnsonyes472176102.8
Kimno451654102.2
Lopezno411262101.8
Martinsyes522596213.3
Nashno431453102.0
Owensyes492385113.0

For each of the following statements, select Yes if the statement is true based on the information provided; otherwise select No.
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Bunuel
The table displays performance data per season for selected professional basketball players: whether they are on the All-Star roster, field goal percentage, points per game, rebounds per game, assists per game, steals per game, blocks per game, and turnovers per game.

PlayerAll-Star (yes/no)FG%PointsReboundsAssistsStealsBlocksTurnovers
Adamsyes512494213.1
Barkerno461865102.5
Changyes5427106213.4
Diazno441553102.1
Ellisyes482075102.7
Fosteryes5522114213.0
Garciano421362101.9
Hayesyes501985112.6
Inoueyes5326127213.5
Johnsonyes472176102.8
Kimno451654102.2
Lopezno411262101.8
Martinsyes522596213.3
Nashno431453102.0
Owensyes492385113.0

For each of the following statements, select Yes if the statement is true based on the information provided; otherwise select No.
Question 1: The median points per game of All-Star players is greater than the maximum points per game of non-All-Star players.

The value for Not All stars = 12,13,14,15,16,18. The maximum value = 18.

The value of All stars = 19, 20, 21, 22, 23, 24, 25, 26, 27. The median value = 23.

23 is greater than 18. Hence, YES.

Question 2: The mode of assists is greater than the range of assists.

The mode value for assists is 5 ( which occurs 4 times).

Range for assists = 7-2 = 5.

Both these values are equal. Hence, NO.

Question 3: Points and turnovers are directly proportional to each other.

Given that Points is directly proportional to Turnover.

Points = K * Turnover.

where, K is a constant.

Adam’s = 24/3.1 = 7.74

Barker = 18/2.5 = 7.2

The values are NOT equal. Hence, NO
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