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605-655 Level|   Non-Math Related|   Tables|               
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The table shows a jazz critics rankings of the sixteen best jazz 03 Jun 2024, 03:47
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The most recent hard bop album listed is a John Coltrane album.: Yes Most of the Blue Note albums listed were released later than most of the Columbia albums listed.: No At least half of the albums listed as being released in the 1950s were in the hard bop style.: No
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­The table shows a jazz critic’s rankings of the sixteen best jazz albums.

RankMain artistTitleLabelStyleYear
1Miles DavisKind of BlueColumbiamodal1959
2John ColtraneA Love SupremeImpulse!avant-garde1964
3Charles MingusMingus Ah UmColumbiasoul jazz1959
4Dave BrubeckTime OutColumbiaWest Coast1959
5Cannonball AdderlySomethin' ElseBlue Notehard bop1958
6Sonny RollinsSaxophone ColossusPrestigemixed1956
7John ColtraneGiant StepsAtlantichard bop1959
8Art BlakelyMoanin'Blue Notehard bop1958
9Herbie HancockMaiden VoyageBlue Notemodal1965
10Thelonious MonkBrilliant CornersRiversidebebop1956
11Bill EvansWaltz for DebbyRiversidemodal1961
12Keith JarrettThe Köln ConcertUniversalfree jazz1975
13Stan Getz, João GilbertoGetz/GilbertoVervebossa nova1963
14Eric DolphyOut to Lunch!Blue Noteavant-garde1964
15John ColtraneBlue TrainBlue Notehard bop1957
16Louis ArmstrongHot Fives & SevensColumbiaDixieland1928

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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ID: 100325
Yes No
The most recent hard bop album listed is a John Coltrane album.
Most of the Blue Note albums listed were released later than most of the Columbia albums listed.
At least half of the albums listed as being released in the 1950s were in the hard bop style.
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The most recent hard bop album listed is a John Coltrane album.: Yes Most of the Blue Note albums listed were released later than most of the Columbia albums listed.: No At least half of the albums listed as being released in the 1950s were in the hard bop style.: No
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The table shows a jazz critics rankings of the sixteen best jazz 04 Jun 2024, 10:49
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Yes - Sort by year - most recent hard bop style was released in 1959 by John Coltrane
No - Sort by year - 1 C (1928), 3 BN (1957, 1958 x2), BUT 3 C (1959) vs. only 2 BN (1964, 1965)
No - Sort by year - only 4 out 9 albums released during 1950s were hard bop style
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The table shows a jazz critics rankings of the sixteen best jazz 01 Aug 2024, 12:58
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­This question should be in the table analysis category, not the graphs category
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The table shows a jazz critics rankings of the sixteen best jazz 01 Aug 2024, 13:33
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chini
­This question should be in the table analysis category, not the graphs category
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­Changed the tag. Thank you.
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The table shows a jazz critics rankings of the sixteen best jazz 18 Sep 2024, 03:57
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Hi, can someone please explain how we got the answer to Q2.
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The table shows a jazz critics rankings of the sixteen best jazz 19 Sep 2024, 16:42
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Nonbiryani
Hi, can someone please explain how we got the answer to Q2.
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Sure thing!

I believe that there might be some confusion as how to compare the chronology of "most" albums.

We can do this by considering the median. For Columbia, we have: 1928, 1959, 1959, 1959 \(\rightarrow\) 1959. For Blue Note: 1957, 1958, 1958, 1964, 1965 \(\rightarrow\) 1958.

3 Blue Note (most) albums were released before 1959 (1957, 1958, 1958), which means that most Blue Note albums weren't released later than most Columbia albums.
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The table shows a jazz critics rankings of the sixteen best jazz 08 Oct 2024, 08:02
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Thank you so much for your response!

Bismuth83
Nonbiryani
Hi, can someone please explain how we got the answer to Q2.
Sure thing!

I believe that there might be some confusion as how to compare the chronology of "most" albums.

We can do this by considering the median. For Columbia, we have: 1928, 1959, 1959, 1959 \(\rightarrow\) 1959. For Blue Note: 1957, 1958, 1958, 1964, 1965 \(\rightarrow\) 1958.

3 Blue Note (most) albums were released before 1959 (1957, 1958, 1958), which means that most Blue Note albums weren't released later than most Columbia albums.
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The table shows a jazz critics rankings of the sixteen best jazz 26 Oct 2024, 04:59
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Hi! I'm one of those confusing people :lol: Using the median seems like a logical way to get this one right, but I find it hard to get my mind around that idea. For example:
- If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer.
- If we compare the latest dates of Columbia albums with those of Blue Note Albums, we have the "NO" answer

Could you please point out the flaws in my thinking? Thank you

Bismuth83
Nonbiryani
Hi, can someone please explain how we got the answer to Q2.
Sure thing!

I believe that there might be some confusion as how to compare the chronology of "most" albums.

We can do this by considering the median. For Columbia, we have: 1928, 1959, 1959, 1959 \(\rightarrow\) 1959. For Blue Note: 1957, 1958, 1958, 1964, 1965 \(\rightarrow\) 1958.

3 Blue Note (most) albums were released before 1959 (1957, 1958, 1958), which means that most Blue Note albums weren't released later than most Columbia albums.
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The table shows a jazz critics rankings of the sixteen best jazz 30 Oct 2024, 09:45
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nvuluan
Hi! I'm one of those confusing people :lol: Using the median seems like a logical way to get this one right, but I find it hard to get my mind around that idea. For example:
- If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer.
- If we compare the latest dates of Columbia albums with those of Blue Note Albums, we have the "NO" answer

Could you please point out the flaws in my thinking? Thank you

Bismuth83
Nonbiryani
Hi, can someone please explain how we got the answer to Q2.
Sure thing!

I believe that there might be some confusion as how to compare the chronology of "most" albums.

We can do this by considering the median. For Columbia, we have: 1928, 1959, 1959, 1959 \(\rightarrow\) 1959. For Blue Note: 1957, 1958, 1958, 1964, 1965 \(\rightarrow\) 1958.

3 Blue Note (most) albums were released before 1959 (1957, 1958, 1958), which means that most Blue Note albums weren't released later than most Columbia albums.
Show more
I agree with you that using the median is weird. I'm a little bit stuck on "If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer." This part we wouldn't get any answer since you can't compare the two sets (1958 < 1959 but 1964 & 1965 are larger).

Think of this as 2 cases. We can consider each case and try to see if it'll work.
Case#1 is most Blue Note albums were released later than most Columbia albums. Here, we want to pick the newest majority of Blue Note albums and the oldest majority of Columbia albums. This would be sets (1958, 1964, 1965) and (1928,1959). However, they merge and thus the case won't work.

Case#2 is most Blue Note albums weren't released later than most Columbia albums. Here, we want to pick the oldest majority of Blue Note albums and the newest majority of Columbia albums. This would be sets (1957, 1958, 1958) and (1959,1959). These two sets don't merge and clearly match the inequality. So, this case works.
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The table shows a jazz critics rankings of the sixteen best jazz 31 Oct 2024, 09:46
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Your case #1's description perfectly captures my predicament in the quotation. Only when I listed out the data just as you showed in case#2, I instantly recognized the right answer. It is strange but I guess its a good lesson to learn writing data out in order. Incidentally, do you think it's because the concept of time (release later), we must take the comparison with the most latest date (in order) of the released Columbia albums.
For example, considering this alternative data set:
- Columbia Albums (1959, 1958, 1958, 1928) vs Blue Note Albums (1964, 1965, 1958, 1958, 1957)
Would the answer still be "NO" in this case?

p/s: it has been a very productive discussion with you. appreciate very much for your time
Bismuth83
nvuluan
Hi! I'm one of those confusing people :lol: Using the median seems like a logical way to get this one right, but I find it hard to get my mind around that idea. For example:
- If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer.
- If we compare the latest dates of Columbia albums with those of Blue Note Albums, we have the "NO" answer

Could you please point out the flaws in my thinking? Thank you

Bismuth83
I agree with you that using the median is weird. I'm a little bit stuck on "If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer." This part we wouldn't get any answer since you can't compare the two sets (1958 < 1959 but 1964 & 1965 are larger).

Think of this as 2 cases. We can consider each case and try to see if it'll work.
Case#1 is most Blue Note albums were released later than most Columbia albums. Here, we want to pick the newest majority of Blue Note albums and the oldest majority of Columbia albums. This would be sets (1958, 1964, 1965) and (1928,1959). However, they merge and thus the case won't work.

Case#2 is most Blue Note albums weren't released later than most Columbia albums. Here, we want to pick the oldest majority of Blue Note albums and the newest majority of Columbia albums. This would be sets (1957, 1958, 1958) and (1959,1959). These two sets don't merge and clearly match the inequality. So, this case works.
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The table shows a jazz critics rankings of the sixteen best jazz 02 Nov 2024, 15:45
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Most of the Blue Note albums listed were released later than most of the Columbia albums listed.
Solution:
To answer this, please understand that we need to compare the timeline of both the albums listed.
Release year Album
1928 Columbia
1957 Blue Note
1958 Blue Note
1958 Blue Note
1959 Columbia
1959 Columbia
1959 Columbia
1964 Blue Note
1965 Blue Note

We can see that 3 Blue note albums were released prior to Columbia.
Hence, No.

Let me know if you didn't follow.
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The table shows a jazz critics rankings of the sixteen best jazz 04 Nov 2024, 11:26
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nvuluan
Your case #1's description perfectly captures my predicament in the quotation. Only when I listed out the data just as you showed in case#2, I instantly recognized the right answer. It is strange but I guess its a good lesson to learn writing data out in order. Incidentally, do you think it's because the concept of time (release later), we must take the comparison with the most latest date (in order) of the released Columbia albums.
For example, considering this alternative data set:
- Columbia Albums (1959, 1958, 1958, 1928) vs Blue Note Albums (1964, 1965, 1958, 1958, 1957)
Would the answer still be "NO" in this case?

p/s: it has been a very productive discussion with you. appreciate very much for your time
Bismuth83
nvuluan
Hi! I'm one of those confusing people :lol: Using the median seems like a logical way to get this one right, but I find it hard to get my mind around that idea. For example:
- If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer.
- If we compare the latest dates of Columbia albums with those of Blue Note Albums, we have the "NO" answer

Could you please point out the flaws in my thinking? Thank you

Bismuth83
I agree with you that using the median is weird. I'm a little bit stuck on "If we compare the bottom half of Columbia albums (1928, 1959 - still most) with the top three of Blue Note albums (1958, 1964 & 1965), we have the "YES" answer." This part we wouldn't get any answer since you can't compare the two sets (1958 < 1959 but 1964 & 1965 are larger).

Think of this as 2 cases. We can consider each case and try to see if it'll work.
Case#1 is most Blue Note albums were released later than most Columbia albums. Here, we want to pick the newest majority of Blue Note albums and the oldest majority of Columbia albums. This would be sets (1958, 1964, 1965) and (1928,1959). However, they merge and thus the case won't work.

Case#2 is most Blue Note albums weren't released later than most Columbia albums. Here, we want to pick the oldest majority of Blue Note albums and the newest majority of Columbia albums. This would be sets (1957, 1958, 1958) and (1959,1959). These two sets don't merge and clearly match the inequality. So, this case works.
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I see where you are going. When the question asks to compare the majority of 2 sets, there is no criteria given to pick the majority. So, we'd have to assume that if it works for a chosen 2 majorities then it fulfills the inequality.

In your example, I'd say that there isn't enough information to decide. Since you have 2 different band albums in the same year, you can't compare them and thus you can't compare the majorities.
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