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# Which of the following could be the median length of unemplo

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Joined: 18 Apr 2015
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Kudos [?]: 1030 [1] , given: 4640

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

83% (00:36) correct 16% (00:39) wrong based on 6 sessions

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

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Joined: 18 Apr 2015
Posts: 5150
Followers: 77

Kudos [?]: 1030 [0], given: 4640

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

The answer is $$B$$
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