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@MartyMurray In third option, why did you consider amount of time on the ice per game as an average time on the ice per game ? Though answer is correct (Inconsistent) in either of the choices, I marked Incosistent solely based on the logic that we were given average time and not time. 

Please correct me if i am wrong.
­The wording "per game" basically subsumes the concept of average. After all, in this context, "time per game" does not mean the exact time played in each game. It names a single time that is the average time the player was in a game.

It may help to consider another example, the concept of "per capita income." That term is synonymous with "the average income per person" even though it doesn't include the word "average."

Also, notice that "TOI/G" stands for "time on ice per game," once again not including the word "average."

So, we can safely decide that "amount of time on the ice per game" refers to the values in the column labeled "TOI/G."
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­2008–2009 Kontinental Hockey League
Regular Season Scoring Leaders

NameTeamGP^1A^2PIM^3TOI/G^4
Brendl, PavelTorpedo56154816:03
Dallman, KevinBarys533013725:17
Glazachev, KonstantinBarys56243020:13
Hossa, MarcelDinamo522211819:24
Jágr, JaromírAvangard55286217:52
Korolyuk, AlexanderAtlant56323215:23
Marek, JanMetallurg53376218:44
Mårtensson, TonyAK55352217:00
Morozov, AlekseyAK49392218:42
Mozyakin, SergeiAtlant56421418:50
Perezhogin, AlexanderSalavat55243217:10
Pirnes, EsaAtlant51288418:26
Radivojevič, BrankoSpartak49268617:18
Radulov, AlexanderSalavat52269216:59
Spiridonov, MaximBarys49263617:24
Sushinski, MaximSKA48278318:18
Tereschenko, AlexeiSalavat55292218:31
Yashin, AlexeiLokomotiv56263017:18
Zaripov, DanisAK56312618:10

1. GP-Games played
2. A-Assists
3. PIM-Penalties in minutes
4. TOI/G-Average time on the ice per game

For each of the following statements about the players in the table, select Consistent if it is consistent with the information in the table, and otherwise select Inconsistent


The player with the highest average time on the ice per game also had the highest penalties in minutes per game.

To see whether the same player had the highest average time on the ice per game and the highest penalties in minutes, we can sort the table by each of these statistics and see whether the same player shows up at the high end of the list in each case.

Sorting by TOI/G, we see that the player with the highest average time on the ice per game is Dallman, Kevin.

Sorting by PIM, we see that the player with the highest penalties in minutes is also Dallman, Kevin.

Select Consistent.

The player who played in the fewest games also had the most assists per game.

First, to see who played in the fewest games, sort by GP.

Doing so, we find that the player with the fewest games played is Sushinski, Maxim.

Then, to see whether Sushinski also had the most assists per game, sort by A.

Doing so, we find that a different player had the most assists, Mozyakin, Sergei.

Select Inconsistent.

Two of the listed players who played the median number of games in the season had greater than the median amount of time on the ice per game.

To find the median number of games played and the players who played that number of games, sort by GP and count to the middle value. Since there are 19 players, the median is the tenth value, which is 55.

The players who played 55 games each are Perezhogin, Alexander; Jágr, Jaromír; Tereschenko, Alexei; and Mårtensson, Tony.

Now, to find the median amount of time on the ice per game, sort by TOI/G and then count to the tenth value, which is 18:10.

Leaving that column sorted, check to see whether two of the players Perezhogin, Alexander; Jágr, Jaromír; Tereschenko, Alexei; and Mårtensson, Tony had more than 18:10 minutes on the ice per game. Doing so, we see that only one of the players, Tereschenko, Alexei, had more than 18:10 minutes on the ice per game.

Select Inconsistent.

Correct answer: Consistent, InconsistentInconsistent­
­
MartyMurray

 There are 19 players in total the median will be average of 9th and 10th entries and median doesnt relate with any specific player..is this right? Please reply.
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MartyMurray

 There are 19 players in total the median will be average of 9th and 10th entries and median doesnt relate with any specific player..is this right? Please reply.
­Since the number of players, 19, is odd, the median is simply the middle value, which is the tenth value.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19­

Notice that there are nine values above and nine value below the tenth. So, it's dead center.
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MartyMurray In this question, Penalties in Minutes is also assumed to be mentioned "per game"?
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MartyMurray In this question, Penalties in Minutes is also assumed to be mentioned "per game"?
­No, it's for the entire season.

In case we weren't sure, we can confirm that it is for the season by noticing that some players have high numbers for penalties in minutes, such as 137, 118, and 84. It doesn't make sense that a player would spend 137 minutes in the penalty box per game since 137 minutes is over two hours and a hockey game would not take over two hours.
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MartyMurray
pratiksha1998
MartyMurray In this question, Penalties in Minutes is also assumed to be mentioned "per game"?
­No, it's for the entire season.

In case we weren't sure, we can confirm that it is for the season by noticing that some players have high numbers for penalties in minutes, such as 137, 118, and 84. It doesn't make sense that a player would spend 137 minutes in the penalty box per game since 137 minutes is over two hours and a hockey game would not take over two hours.
­Hi MartyMurray

What logic do you use to interpret the number of assists as the number of assists per game? Is this because if it represented the number of assists across the entire season, the number of assists per game would be less than one (e.g. 27/48 for Sushinski, Maxim) for all players? But this makes me wonder - if the number of assists were greater, then we'd end up with values over 1. Would appreciate your thoughts! ­
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MartyMurray
­2008–2009 Kontinental Hockey League
Regular Season Scoring Leaders

NameTeamGP^1A^2PIM^3TOI/G^4
Brendl, PavelTorpedo56154816:03
Dallman, KevinBarys533013725:17
Glazachev, KonstantinBarys56243020:13
Hossa, MarcelDinamo522211819:24
Jágr, JaromírAvangard55286217:52
Korolyuk, AlexanderAtlant56323215:23
Marek, JanMetallurg53376218:44
Mårtensson, TonyAK55352217:00
Morozov, AlekseyAK49392218:42
Mozyakin, SergeiAtlant56421418:50
Perezhogin, AlexanderSalavat55243217:10
Pirnes, EsaAtlant51288418:26
Radivojevič, BrankoSpartak49268617:18
Radulov, AlexanderSalavat52269216:59
Spiridonov, MaximBarys49263617:24
Sushinski, MaximSKA48278318:18
Tereschenko, AlexeiSalavat55292218:31
Yashin, AlexeiLokomotiv56263017:18
Zaripov, DanisAK56312618:10

1. GP-Games played
2. A-Assists
3. PIM-Penalties in minutes
4. TOI/G-Average time on the ice per game

For each of the following statements about the players in the table, select Consistent if it is consistent with the information in the table, and otherwise select Inconsistent


The player with the highest average time on the ice per game also had the highest penalties in minutes per game.

To see whether the same player had the highest average time on the ice per game and the highest penalties in minutes, we can sort the table by each of these statistics and see whether the same player shows up at the high end of the list in each case.

Sorting by TOI/G, we see that the player with the highest average time on the ice per game is Dallman, Kevin.

Sorting by PIM, we see that the player with the highest penalties in minutes is also Dallman, Kevin.

Select Consistent.

The player who played in the fewest games also had the most assists per game.

First, to see who played in the fewest games, sort by GP.

Doing so, we find that the player with the fewest games played is Sushinski, Maxim.

Then, to see whether Sushinski also had the most assists per game, sort by A.

Doing so, we find that a different player had the most assists, Mozyakin, Sergei.

Select Inconsistent.

Two of the listed players who played the median number of games in the season had greater than the median amount of time on the ice per game.

To find the median number of games played and the players who played that number of games, sort by GP and count to the middle value. Since there are 19 players, the median is the tenth value, which is 55.

The players who played 55 games each are Perezhogin, Alexander; Jágr, Jaromír; Tereschenko, Alexei; and Mårtensson, Tony.

Now, to find the median amount of time on the ice per game, sort by TOI/G and then count to the tenth value, which is 18:10.

Leaving that column sorted, check to see whether two of the players Perezhogin, Alexander; Jágr, Jaromír; Tereschenko, Alexei; and Mårtensson, Tony had more than 18:10 minutes on the ice per game. Doing so, we see that only one of the players, Tereschenko, Alexei, had more than 18:10 minutes on the ice per game.

Select Inconsistent.

Correct answer: Consistent, InconsistentInconsistent­
­Hey,
The second question talks about "number of assists per game" but you only consider the "number of assists" during evaluation. Both give the same answer but I just wanted to confirm if my thought process is wrong or right? number of assists per game would be assists/(number of games played).­

MartyMurray
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Hi experts, I have the same question as above KarishmaB MartyMurray

The second question talks about "number of assists per game" but only the "number of assists" is being considered during evaluation by Marty. Both give the same answer but I just wanted to confirm if my thought process is wrong or right? number of assists per game would be assists/(number of games played).­
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chetan2u here number of assists per game should be no. of assists divided by number of games played right? similarly with highest penalties in minutes per game­
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sv2023
Hi experts, I have the same question as above

The second question talks about "number of assists per game" but only the "number of assists" is being considered during evaluation by Marty. Both give the same answer but I just wanted to confirm if my thought process is wrong or right? number of assists per game would be assists/(number of games played).­
­I too have the same doubt and unfortunately got the question wrong as i was unable to differentiate between weather should i use just assists or assists/number of games. Kindly help!
KarishmaB MartyMurray chetan2u
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MartyMurray
­2008–2009 Kontinental Hockey League
Regular Season Scoring Leaders

NameTeamGP^1A^2PIM^3TOI/G^4
Brendl, PavelTorpedo56154816:03
Dallman, KevinBarys533013725:17
Glazachev, KonstantinBarys56243020:13
Hossa, MarcelDinamo522211819:24
Jágr, JaromírAvangard55286217:52
Korolyuk, AlexanderAtlant56323215:23
Marek, JanMetallurg53376218:44
Mårtensson, TonyAK55352217:00
Morozov, AlekseyAK49392218:42
Mozyakin, SergeiAtlant56421418:50
Perezhogin, AlexanderSalavat55243217:10
Pirnes, EsaAtlant51288418:26
Radivojevič, BrankoSpartak49268617:18
Radulov, AlexanderSalavat52269216:59
Spiridonov, MaximBarys49263617:24
Sushinski, MaximSKA48278318:18
Tereschenko, AlexeiSalavat55292218:31
Yashin, AlexeiLokomotiv56263017:18
Zaripov, DanisAK56312618:10

1. GP-Games played
2. A-Assists
3. PIM-Penalties in minutes
4. TOI/G-Average time on the ice per game

For each of the following statements about the players in the table, select Consistent if it is consistent with the information in the table, and otherwise select Inconsistent


The player with the highest average time on the ice per game also had the highest penalties in minutes per game.

To see whether the same player had the highest average time on the ice per game and the highest penalties in minutes, we can sort the table by each of these statistics and see whether the same player shows up at the high end of the list in each case.

Sorting by TOI/G, we see that the player with the highest average time on the ice per game is Dallman, Kevin.

Sorting by PIM, we see that the player with the highest penalties in minutes is also Dallman, Kevin.

Select Consistent.

The player who played in the fewest games also had the most assists per game.

First, to see who played in the fewest games, sort by GP.

Doing so, we find that the player with the fewest games played is Sushinski, Maxim.

Then, to see whether Sushinski also had the most assists per game, sort by A.

Doing so, we find that a different player had the most assists, Mozyakin, Sergei.

Select Inconsistent.

Two of the listed players who played the median number of games in the season had greater than the median amount of time on the ice per game.

To find the median number of games played and the players who played that number of games, sort by GP and count to the middle value. Since there are 19 players, the median is the tenth value, which is 55.

The players who played 55 games each are Perezhogin, Alexander; Jágr, Jaromír; Tereschenko, Alexei; and Mårtensson, Tony.

Now, to find the median amount of time on the ice per game, sort by TOI/G and then count to the tenth value, which is 18:10.

Leaving that column sorted, check to see whether two of the players Perezhogin, Alexander; Jágr, Jaromír; Tereschenko, Alexei; and Mårtensson, Tony had more than 18:10 minutes on the ice per game. Doing so, we see that only one of the players, Tereschenko, Alexei, had more than 18:10 minutes on the ice per game.

Select Inconsistent.

Correct answer: Consistent, Inconsistent, Inconsistent­
for the second questions " The player who played in the fewest games also had the most assists per game."

It asking Assists per game..so shouldnt we divide A by GPA ? And the one with least value will be taken
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The player with the highest average time on the ice per game also had the highest penalties in minutes per game.

Sort by average time on ice per game,



Eyeball the data, penalties in minutes per game is less than 2 for most of the players except Dallman, Kevin and Hossa, Marcel. It's easy to know which ratio would be greater 137/53 > 118/52 without any calculation.

=> Consistent

The player who played in the fewest games also had the most assists per game.

Sort by games



Assists per game for first player is 27/48, can I find a ratio which might be greater than this? Hmm, 42/56 should be greater than 27/48 as numerator has increased quite a lot whereas denominator hasn't increased much, can be verified on calculator if needed but I think the difference here is quite evident as first ratio is close to 0.75 whereas second ratio is close to 0.5

=> Inconsistent

Two of the listed players who played the median number of games in the season had greater than the median amount of time on the ice per game.

Sort by games (used in 2nd question) to calculate median no. of games ie. the 10th row => 55 games

Now sort by time per game (used in 1st question)

18:10 is the median amount of time in row 10, do we have 2 players with no. of games = 55 below that row? Nop, just one - Tereschenko, Alexei

=> Inconsistent
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Pleasantly surprised seeing this table. Dinamo Riga was the hockey team of my hometown, and Marcel Hossa was a very fun player to watch back in the day. Not to mention Jaromir Jagr and Alexey Yashin. Any ice hockey fans here?
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Daaamn, I could have found first 2 answers just by sorting, but I did calculations :/ It took me longer than enough as well. Thanks experts, I realised again that I need to follow a strategy, rather than a hard way.
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