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Which of the following could be the median length of unemplo [#permalink]
24 Jan 2016, 08:34

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Question Stats:

75% (00:46) correct
24% (01:17) wrong based on 54 sessions

Attachment:

#GREpracticequestion Which of the following could be the median length.jpg [ 74.75 KiB | Viewed 3978 times ]

Which of the following could be the median length of unemployment, in weeks, for manufacturing industry workers who were unemployed for at least 1 week?

A. 4

B. 8

C. 12

D. 16

E. 20

Practice Questions Question: 18 Page: 362 Difficulty: medium

Re: Which of the following could be the median length of unemplo [#permalink]
24 Jan 2016, 08:36

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Solution

The median length of unemployment is the average of the two middle lengths when the lengths are listed in order from least to greatest; that is, the median is the number at which 50% of the lengths have been listed. To find the median length, first note that the group with the shortest unemployment lengths, 1 to 4 weeks, accounts for the first 40% of the lengths in the ordered list. Then, because the group with the next longer lengths, 5 to 10 weeks, accounts for the next 20% of the lengths in the list, the number at which 50% of the lengths have been listed is in this group. So the median length is in the 5-to-10 week interval. Among the answer choices, the only choice that is in the 5-to-10 week interval is Choice B, 8.

Re: Which of the following could be the median length of unemplo [#permalink]
10 Aug 2019, 06:24

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Carcass wrote:

Attachment:

#GREpracticequestion Which of the following could be the median length.jpg

Which of the following could be the median length of unemployment, in weeks, for manufacturing industry workers who were unemployed for at least 1 week?

A. 4

B. 8

C. 12

D. 16

E. 20

Practice Questions Question: 18 Page: 362 Difficulty: medium

Since the circle graph is based on percents, let's just say there the graph represents 100 people.

To find the MEDIAN length of unemployment, we'll list the lengths in ASCENDING order, beginning with those who worked 1 to 4 weeks. These people represent 40% of the 100 people, so here are 40 entries between 1 and 4 weeks.

The next group of people to list are those who worked 5 to 10 weeks These people represent 20% of the 100 people, so here are 20 entries between 5 and 10 weeks. So, our list now looks like this: (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (1-4 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), (5-10 wks), . . ..

Since we have 100 data points in total, the median will be the average of the 50th and 51st values listed. This means the median will be anything from 5 to 10 weeks

Check the answer choices....only answer choice B falls within this range.

Answer: B

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Re: Which of the following could be the median length of unemplo [#permalink]
21 Dec 2019, 11:27

Carcass wrote:

Attachment:

#GREpracticequestion Which of the following could be the median length.jpg

Which of the following could be the median length of unemployment, in weeks, for manufacturing industry workers who were unemployed for at least 1 week?

A. 4

B. 8

C. 12

D. 16

E. 20

Practice Questions Question: 18 Page: 362 Difficulty: medium

I did not understand why the task write about median for the 1-4 week unemployed people? Does it seem that we founded the median for all categories not for 1-4-week unemployed?