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The table above shows the distribution of the number [#permalink]
27 Mar 2014, 15:56

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Difficulty:

35% (medium)

Question Stats:

66% (02:01) correct
34% (00:51) wrong based on 62 sessions

Attachment:

File comment: Table

Table1.png [ 19.85 KiB | Viewed 669 times ]

The table above shows the distribution of the number of absences from certain English class during the spring semester. For those students who had at least 1 absence, what was the median number of absences?

When students who did not have at least 1 absence are eliminated, there are 28 - 4 = 24 students left. The numbers of absences are then 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5 or more, 5 or more, 5 or more. Because 24 is even, the median number of absences for the 24 students is the mean of the 12th and 13th highest number of absences. Both of these numbers are 2 and so the median number of absences is 2.

Hi, it appears that number of precise absence in " 5 more" absence is not relevant to the median calculation. Can anyone explain this to me, please.

Re: The table above shows the distribution of the number [#permalink]
27 Mar 2014, 20:03

2

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Expert's post

goodyear2013 wrote:

Attachment:

Table1.png

The table above shows the distribution of the number of absences from certain English class during the spring semester. For those students who had at least 1 absence, what was the median number of absences?

When students who did not have at least 1 absence are eliminated, there are 28 - 4 = 24 students left. The numbers of absences are then 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5 or more, 5 or more, 5 or more. Because 24 is even, the median number of absences for the 24 students is the mean of the 12th and 13th highest number of absences. Both of these numbers are 2 and so the median number of absences is 2.

Hi, it appears that number of precise absence in " 5 more" absence is not relevant to the median calculation. Can anyone explain this to me, please.

Yes, it isn't and the reason is this: In the list {2, 4, 8, 10, 11, 13, 17, 20, 10098}, what is the median? It is 11. Since the total number of items is 9 so median is the middle element i.e. the fifth element. Does 10098 play any role in the median? No!

Similarly, your list here looks like this: 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5 or more, 5 or more, 5 or more It doesn't matter what the last three items are. The median will be the average of the 12th and the 13 the term since there are a total of 24 terms (3+10+3+5+3). Both 12th and 13th terms are 2 so median will be 2. _________________

Re: The table above shows the distribution of the number [#permalink]
03 Jun 2014, 20:12

1

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The total no of students with at the least 1 absence is 3+10+3+5+3 = 24 The median would be the average of 12th and 13th term: 2 Ans:B _________________

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