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705-805 Level|   Graphs|   Math Related|      
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Swagatalaxmi
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For each of the first 11 months of last year, the graph shows the tota 23 Jun 2024, 11:07
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39% (02:19) correct 61% (02:22) wrong based on 1473 sessions

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For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

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For each of the first 11 months of last year, the graph shows the tota 01 Jul 2024, 09:27
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Swagatalaxmi


For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

Show Spoiler
Attachment:
Graph.jpg
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­The question should be ok.

We are given transactions per month for 11 months, and the question talking about least and greatest median means that we can play around with the transactions of 12th month.

So, let us arrange them in an order: 19, 21, 22, 23, 25, 25, 27, 28, 29, 33, 37 and x, where x can be placed anywhere depending on what we are looking for.

The median of 12 numbers will be the middle of 6th and 7th number. We can discard the top 4 and bottom 4 as they do not have any role to play in median irrespective of where we place x. So, numbers are 25, 25, 27 and x.

Minimum Median: When x is the least...x, 25, 25, 27.............Median = \(\frac{(25+25)}{2} = 25\)
Maximum Median: When x is the greatest...25, 25, 27, x.............Median = \(\frac{(25+27)}{2} = 26\)­
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For each of the first 11 months of last year, the graph shows the tota 23 Jun 2024, 11:08
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I really couldn't understand this question language. Would really appreciate if some expert could explain it
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For each of the first 11 months of last year, the graph shows the tota 24 Jun 2024, 06:16
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Can you please edit the question correctly.

Posted from my mobile device
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For each of the first 11 months of last year, the graph shows the tota 01 Jul 2024, 02:38
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I came across this question in PREP 5 today, hope this helps­: 

"For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is ____, and the greatest that it could be is____­."
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For each of the first 11 months of last year, the graph shows the tota 01 Jul 2024, 09:10
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ko477
I came across this question in PREP 5 today, hope this helps­: 

"For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is ____, and the greatest that it could be is____­."
Show more
­Thank you!

Were the options and the correct answers the same as given in the original post here? 
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For each of the first 11 months of last year, the graph shows the tota 01 Jul 2024, 09:26
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Bunuel

ko477
I came across this question in PREP 5 today, hope this helps­: 

"For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is ____, and the greatest that it could be is____­."
­Thank you!

Were the options and the correct answers the same as given in the original post here? 
Show more
­Sorry, I don't remember the options very clearly, but the maximum option for the second one is 28. The answers above are correct.­
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For each of the first 11 months of last year, the graph shows the tota 01 Jul 2024, 09:28
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ko477

Bunuel

ko477
I came across this question in PREP 5 today, hope this helps­: 

"For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is ____, and the greatest that it could be is____­."
­Thank you!

Were the options and the correct answers the same as given in the original post here? 
­Sorry, I don't remember the options very clearly, but the maximum option for the second one is 28. The answers above are correct.­
Show more
­__________________
Thank you very much! That helps.
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For each of the first 11 months of last year, the graph shows the tota 07 Jul 2024, 08:40
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ko477
I came across this question in PREP 5 today, hope this helps­: 

"For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is ____, and the greatest that it could be is____­."
Show more
­

Hi, by "PREP 5" you mean GMAT™ Official Practice Exam 5? 
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For each of the first 11 months of last year, the graph shows the tota 07 Jul 2024, 09:15
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riteshrr

ko477
I came across this question in PREP 5 today, hope this helps­: 

"For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is ____, and the greatest that it could be is____­."
­
Hi, by "PREP 5" you mean GMAT™ Official Practice Exam 5? 
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­Hi riteshrr, yes it is­
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For each of the first 11 months of last year, the graph shows the tota 16 Dec 2024, 04:17
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Thanks for the explanation. But how do we conclude that the top 4 and bottom 4 entries can be discarded?
chetan2u
Swagatalaxmi


For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

Show Spoiler
Attachment:
Graph.jpg
­The question should be ok.

We are given transactions per month for 11 months, and the question talking about least and greatest median means that we can play around with the transactions of 12th month.

So, let us arrange them in an order: 19, 21, 22, 23, 25, 25, 27, 28, 29, 33, 37 and x, where x can be placed anywhere depending on what we are looking for.

The median of 12 numbers will be the middle of 6th and 7th number. We can discard the top 4 and bottom 4 as they do not have any role to play in median irrespective of where we place x. So, numbers are 25, 25, 27 and x.

Minimum Median: When x is the least...x, 25, 25, 27.............Median = \(\frac{(25+25)}{2} = 25\)
Maximum Median: When x is the greatest...25, 25, 27, x.............Median = \(\frac{(25+27)}{2} = 26\)­
Show more
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For each of the first 11 months of last year, the graph shows the tota 24 Feb 2025, 05:51
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Hi, Please change the dropdown options. The 2nd dropdown is from 25 to 28 in the original question. Thanks
Swagatalaxmi


For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

Show Spoiler
Attachment:
Graph.jpg

­
Show more
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For each of the first 11 months of last year, the graph shows the tota 24 Feb 2025, 06:44
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AdjustedEbitdad
Hi, Please change the dropdown options. The 2nd dropdown is from 25 to 28 in the original question. Thank.
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_________________
Done. Thank you!
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For each of the first 11 months of last year, the graph shows the tota 26 Feb 2025, 04:40
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Bunuel Sir, could you please clarify on how to solve this question? Why should we leave the first four and the last four numbers of the series as mentioned above?
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For each of the first 11 months of last year, the graph shows the tota 09 Mar 2025, 03:55
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chetan2u
Swagatalaxmi


For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

Show Spoiler
Attachment:
Graph.jpg
­The question should be ok.

We are given transactions per month for 11 months, and the question talking about least and greatest median means that we can play around with the transactions of 12th month.

So, let us arrange them in an order: 19, 21, 22, 23, 25, 25, 27, 28, 29, 33, 37 and x, where x can be placed anywhere depending on what we are looking for.

The median of 12 numbers will be the middle of 6th and 7th number. We can discard the top 4 and bottom 4 as they do not have any role to play in median irrespective of where we place x. So, numbers are 25, 25, 27 and x.

Minimum Median: When x is the least...x, 25, 25, 27.............Median = \(\frac{(25+25)}{2} = 25\)
Maximum Median: When x is the greatest...25, 25, 27, x.............Median = \(\frac{(25+27)}{2} = 26\)­
Show more


chetan2u the explanation overall seems to make sense, but I have the same question as Pablopikachu: How do we conclude that the top and bottom four entries can be discarded?
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For each of the first 11 months of last year, the graph shows the tota 11 Mar 2025, 07:18
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My time spent in getting this question correct in fist attempt = 1:38 minutes

This question requires the consideration of 12th month's transactions

The numbers in graph when arranged are {19, 21, 22, 23, 25, 25, 27, 28, 29, 33, 37}

If 12th month is less than 25 then median will be (25+25)/2 = 25 Minimum
If 12th month is greater than 27 then median will be (25+27)/2 = 26 Maximum

Now, the median could have been 25.5 if the number of 12th month transaction were 26 which is a possibility but such an option is not given because the number of transaction can NOT be non-integer hence that option was carefully committed by the question itself.

Dropdown 1: 25
Dropdown 2: 26

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Swagatalaxmi


For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

Show Spoiler
Attachment:
Graph.jpg

­
Show more
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For each of the first 11 months of last year, the graph shows the tota 18 Mar 2025, 21:49
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Swagatalaxmi


For each of the first 11 months of last year, the graph shows the total number of transactions processed during the month for Martina's bank account.

Select the options from the drop-down menus that create the most accurate statement based on the information provided.

Consistent with the information provided, the least that Martina's median monthly number of bank account transactions for the 12 months of last year could be is , and the greatest that it could be is .­

Show Spoiler
Attachment:
Graph.jpg

­
Show more

Responding to a pm: How do we evaluate it quickly?

We have 11 data points and we need the median of 12. So by varying the 12th data point, we can change a median a bit. Note that we can change mean a whole lot by changing 1 data point but median can only be nudged a little bit to either side.

The 6 smallest bars are 19, 21, 22, 23, 25, 25
The 5 greatest ones are 27, 28, 29, 33, 37

For min median, I can make Dec data = 0 and still median will be average of 25 and 25 i.e. 25 only. So this is the minimum possible value of median.
For max median, I can make Dec data = 100 and still median will be average of 25 and 27 only, not of 25 and 100. So 26 is the maximum possible value of median.

Select 25 and 26

Check out another question on mean median here: https://youtu.be/IiGso4-DSlI
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