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Why can’t the 3 question be answered? Can’t we see the previous week’s ranks of songs and the peak ranks ?

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Why can’t the 3 question be answered? Can’t we see the previous week’s ranks of songs and the peak ranks ?

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Check Previous week's rank , it includes , 12 & 13 excludes 7, 8 & 9 and we can not comment on those...
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for the 3rd question: I think it says songs that has been "ever been ranking 1" that we dont know if the songs has been ever been ranked 1 before previous week or it is the first time that the song is ranked 1, please correct me if m wrong.
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anikpait17
for the 3rd question: I think it says songs that has been "ever been ranking 1" that we dont know if the songs has been ever been ranked 1 before previous week or it is the first time that the song is ranked 1, please correct me if m wrong.
­Hello anikpait17
I think you have misunderstood the argument.

The "peak ranking" column indicates whether that particular song was EVER on rank 1. However, the ans to this will be can NOT be answered  simply because not all the top 10 ranks for the week immediately prior to week W has been given to us.
Missing ranks : 7,8,and 9.

I hope this answers your doubt.
 ­
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Priyam8
Why can’t the 3 question be answered? Can’t we see the previous week’s ranks of songs and the peak ranks ?

Posted from my mobile device
Check Previous week's rank , it includes , 12 & 13 excludes 7, 8 & 9 and we can not comment on those...
But the previous week's rank only has 1 in rank 1. Shouldn't the answer always be 1? 
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Sajjad1994
For a certain radio station in India, the table shows the songs ranked among the top 10 during Week W. The rankings are determined by the number of listener requests for each song, with rank 1 being the most requested, rank 2 the second-most requested, and so on. Lesser numbers constitute higher rankings. The table also gives, as of Week W, each song's rank for the previous week, the number of weeks it has been among the top 20, and its peak rank (the highest ranking it has achieved). In the column for Previous week's rank, "n/a" indicates that the song was not ranked in the week immediately prior to Week W.
Week W
rank
SongPrevious week's
rank
Weeks in
top 20
Peak
rank
1A141
2B2101
3C633
4D464
5E3111
6Fn/a16
7G593
8H1038
9I1259
10J13210
(Sort ↕ the table by clicking on the headers)

For each of the following questions, select Can be answered if that question can be answered using only the information in the table. Otherwise, select Cannot be answered.
­
We have this week's rank, last week's rank, best rank till date and number of week in rankings.

How many of the top 5 songs for Week W had a higher rank for Week W than they did for the previous week?

I have this week's 5 top ranks and  their previous week's ranks. I can determine this. Do I need to? No. But I can. 
Among top 5, only song C has a higher rank this week compared to last week. (just to give clarity)

How many of the top 10 songs for Week W were not among the top 10 in the previous week?

I have this week's 10 ranks and their previous week's ranks. I can determine how many of them were not in top 10 last week. Do I need to? No. But I can. 
F, I and J were not among the top 10 previous week. (just to give clarity)

How many of the top 10 songs for the week immediately prior to Week W have ever been at ranking 1?

In the previous week's ranks, ranks 7, 8 and 9 are missing. We don't know which songs had those ranks last week. So of course I do not have their data of best ranks obtained. Hence, I cannot determine this.  

ANSWER:
Can be answered
Can be answered
Cannot be answered
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­How many of the top 5 songs for Week W had a higher rank for Week W than they did for the previous week? => Can be answered

We know all the previous week ranking of the top 5 songs of week W


How many of the top 10 songs for Week W were not among the top 10 in the previous week? => Can be answered

We know all the previous week ranking of the top 10 songs of week W


How many of the top 10 songs for the week immediately prior to Week W have ever been at ranking 1? => Cannot be answered

We do not know all the top 10 songs in the week previous to week W (the 7th, 8th and 9th are unknown)
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Can you please help clarify N/A here. I got middle question wrong here. Doubtful of your explanations as below:

KarishmaB
How many of the top 10 songs for Week W were not among the top 10 in the previous week?
Quote:
I have this week's 10 ranks and their previous week's ranks. I canNOT determine how many of them were not in top 10 last week. Do I need to? No. But I can.
F, I and J were not among the top 10 previous week.
->I still think it cannot be answered due to F being N/A. It is like assuming that F's previous week's ranks was not among 10 whereas in really it cannot be determined.
Let us say if question was exact opposite- How many of the top 10 songs for Week W were not among the top 10 in the previous week?
what would your answer be- 7 right ?. Here we are not including N/A but in original question we are though Question is asking very specific case on number line. I think due to N/A we cannot answer this question.

egmat I think you have wrongly mentioned in video Time stamp (10:10)
that N/A was all those that were> 20 (where is that mentioned ???) in previous week so automatically it is >10.­
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The answer lies in the statement:
In the column for Previous week's rank, "n/a" indicates that the song was not ranked in the week immediately prior to Week W.

Now we know F was in top 20 once(It is given in the column. )
However, previous week it was n/a, since it was not in top 20. (Exactly what the bold portion means.)
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chetan2u
The answer lies in the statement:
In the column for Previous week's rank, "n/a" indicates that the song was not ranked in the week immediately prior to Week W.

Now we know F was in top 20 once(It is given in the column. )
However, previous week it was n/a, since it was not in top 20. (Exactly what the bold portion means.)
­
Hi chetan2u, Thanks for prompt response

Now we know F was in top 20 once (It is given in the column. ) -> Agree. and that once is also current week only right! 

However, previous week it was n/a, since it was not in top 20. (Exactly what the bold portion means.) -> Not agree.
Going by your logic, at least there should be a number given to it, greater than 20, in previous week's rank to justify that it was not in top 20.

My logic of N/A as per given statement and table data is that it mean the song was released this week only and it secured 6th position. This logic also satisfies other 2 columns in table. So we cannot determined and answer this.

Please Correct me if I am wrong in my logic.­
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Ankit__7182
Can you please help clarify N/A here. I got middle question wrong here. Doubtful of your explanations as below:

KarishmaB
How many of the top 10 songs for Week W were not among the top 10 in the previous week?
Quote:
I have this week's 10 ranks and their previous week's ranks. I canNOT determine how many of them were not in top 10 last week. Do I need to? No. But I can.
F, I and J were not among the top 10 previous week.
->I still think it cannot be answered due to F being N/A. It is like assuming that F's previous week's ranks was not among 10 whereas in really it cannot be determined.
Let us say if question was exact opposite- How many of the top 10 songs for Week W were not among the top 10 in the previous week?
what would your answer be- 7 right ?. Here we are not including N/A but in original question we are though Question is asking very specific case on number line. I think due to N/A we cannot answer this question.

egmat I think you have wrongly mentioned in video Time stamp (10:10)
that N/A was all those that were> 20 (where is that mentioned ???) in previous week so automatically it is >10.­
­
We are given that n/a means it was not ranked last week. So n/a does not  mean 'not available.' It means 'not applicable.'
So F is n/a means F was not in the top 10 ranks last week. Also note that for F, 'week in top 20' is 1. So only this week has F been in top 20. So last week F was not in top 20. 
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Ankit__7182
 
chetan2u
The answer lies in the statement:
In the column for Previous week's rank, "n/a" indicates that the song was not ranked in the week immediately prior to Week W.

Now we know F was in top 20 once(It is given in the column. )
However, previous week it was n/a, since it was not in top 20. (Exactly what the bold portion means.)
­
Hi chetan2u, Thanks for prompt response

Now we know F was in top 20 once (It is given in the column. ) -> Agree. and that once is also current week only right! 

However, previous week it was n/a, since it was not in top 20. (Exactly what the bold portion means.) -> Not agree.
Going by your logic, at least there should be a number given to it, greater than 20, in previous week's rank to justify that it was not in top 20.

My logic of N/A as per given statement and table data is that it mean the song was released this week only and it secured 6th position. This logic also satisfies other 2 columns in table. So we cannot determined and answer this.

Please Correct me if I am wrong in my logic.­

Yes, I would expect it to be mentioned that previous week rank restricts ranks to top 20. So, the wordings can be taken to suggest that the song was not listed. You are correct on that front as the wordings are ambiguous on what exactly ranking means. Is it for 20 top or each of lakhs of songs released over the years having a unique standing? Practically, it is absurd to think that all songs would be ranked but then literally going by wordings, it is open to debate.

However, it should not change the answer. Was F ranked in top 10? No, it may be because it was not listed, if that is what the words suggest.

It could be same about a new blockbuster song, say X, that is in top 10 in the very first week of release.
Was X in top 10 last week? You would say ‘No’.

Was Mr Rahul Gandhi the Home minister at the time of Independence of India?
You may say “ What rubbish!, of course no, he was not even born then. “

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KarishmaB

Sajjad1994
For a certain radio station in India, the table shows the songs ranked among the top 10 during Week W. The rankings are determined by the number of listener requests for each song, with rank 1 being the most requested, rank 2 the second-most requested, and so on. Lesser numbers constitute higher rankings. The table also gives, as of Week W, each song's rank for the previous week, the number of weeks it has been among the top 20, and its peak rank (the highest ranking it has achieved). In the column for Previous week's rank, "n/a" indicates that the song was not ranked in the week immediately prior to Week W.
Week W
rank
SongPrevious week's
rank
Weeks in
top 20
Peak
rank
1A141
2B2101
3C633
4D464
5E3111
6Fn/a16
7G593
8H1038
9I1259
10J13210
(Sort ↕ the table by clicking on the headers)

For each of the following questions, select Can be answered if that question can be answered using only the information in the table. Otherwise, select Cannot be answered.
­
We have this week's rank, last week's rank, best rank till date and number of week in rankings.

How many of the top 5 songs for Week W had a higher rank for Week W than they did for the previous week?

I have this week's 5 top ranks and  their previous week's ranks. I can determine this. Do I need to? No. But I can. 
Among top 5, only song C has a higher rank this week compared to last week. (just to give clarity)

How many of the top 10 songs for Week W were not among the top 10 in the previous week?

I have this week's 10 ranks and their previous week's ranks. I can determine how many of them were not in top 10 last week. Do I need to? No. But I can. 
F, I and J were not among the top 10 previous week. (just to give clarity)

How many of the top 10 songs for the week immediately prior to Week W have ever been at ranking 1?

In the previous week's ranks, ranks 7, 8 and 9 are missing. We don't know which songs had those ranks last week. So of course I do not have their data of best ranks obtained. Hence, I cannot determine this.  

ANSWER:
Can be answered
Can be answered
Cannot be answered
­I had the exact same reasoning for statements 2 and 3. However, why tripped me off was the "n/a": my interpretation for the "n/a" was that if the data is available, then how can I conclude whether a song that is ranked "X" in week W was ranked "n/a" the previous week? I was a bit confused.
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anikpait17
for the 3rd question: I think it says songs that has been "ever been ranking 1" that we dont know if the songs has been ever been ranked 1 before previous week or it is the first time that the song is ranked 1, please correct me if m wrong.
­Hi anikpait17, I selected "cannot be answered" for the same reason as yours.

Here's what we missed out on: the Peak Rank column. That shows all the times those particular songs have been at Rank 1 so yes, it could be answered IF we had the info about the missing numbers, ie 7, 8, etc.

Hope that helps!
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­Q1: Can be answered.
Sort the table by week W rank. ABCDE are highest ranking songs for week w. In the previous week, only C has higher rank.

Q2: Can be answered.
We're looking at 'Week W Rank' column and 'previous week's rank'. If the values are > 10 or 'n/a,' we know they weren't among the top 10 in the previous week.

Q3: Cannot be answered.
We're looking at 'Previous Week's rank' and 'Peak rank'. The problem with this is that we don't receive information about the songs that rank at 7, 8, and 9 for the previous week, which is important because we need to see what the peak rank for those songs is (if they were indicated by '1,' then we would add that to our count).
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