For each of the first 11 months of last year, the graph shows the tota

Question

https://gmatclub.com/forum/download/file.php?id=77035 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 GRAPH_1_PLACEHOLDER , and the greatest that it could be is GRAPH_2_PLACEHOLDER . Graph.jpg https://gmatclub.com/forum/download/file.php?id=77173

chetan2u · Accepted Answer

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

Swagatalaxmi · Answer

I really couldn't understand this question language. Would really appreciate if some expert could explain it

HarishD · Answer

Can you please edit the question correctly.

Posted from my mobile device

ko477 · Answer

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____."

Bunuel · Answer

Thank you!

Were the options and the correct answers the same as given in the original post here?

ko477 · Answer

Sorry, I don't remember the options very clearly, but the maximum option for the second one is 28. The answers above are correct.

Bunuel · Answer

__________________
Thank you very much! That helps.

whatsarc · Answer

Hi, by "PREP 5" you mean  GMAT™ Official Practice Exam 5 ?

ko477 · Answer

Hi riteshrr, yes it is

Pablopikachu · Answer

Thanks for the explanation. But how do we conclude that the top 4 and bottom 4 entries can be discarded?

AdjustedEbitdad · Answer

Hi, Please change the dropdown options. The 2nd dropdown is from 25 to 28 in the original question. Thanks

Bunuel · Answer

_________________
Done. Thank you!

Ilanchezhiyan · Answer

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?

Anonymous · Answer

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?

GMATinsight · Answer

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 .

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Attachment:

Graph.jpg

KarishmaB · Answer

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

Adit_ · Answer

Currently we are having 5th and 6th to be 25.
Adding a value smaller than 25 would give us 6th+7th/2 to be 25 again. Minimum is 25.

Adding a number greater than 25 would push the median to 25+27/2 = 26.

Answer:  25,26

itwillbedone · Answer

Question gives data of 11 months- asks median in respect of 12 months- read clearly with focus and you can solve

For each of the first 11 months of last year, the graph shows the tota

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GMAT Graphs and Tables (G&T) Questions

For each of the first 11 months of last year, the graph shows the tota

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards