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Solution



Given:
    • In a recent storm, 9 neighbourhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes respectively

To find:
    • The median duration of power failures, in minutes

Approach and Working:
The median of any given set of values indicates the middle-most values of the given elements
    • As there are 9 elements, the middle element will be 9+1/2 or 5th element

If we arrange the power failure timings in ascending order, we get {12, 16, 18, 25, 27, 29, 34, 35, 46}
    • Therefore, the median = the value of the middle element = 27

Hence, the correct answer is option C.

Answer: C
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Bunuel
During a recent storm, 9 neighborhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes, respectively. For these 9 neighborhoods, what was the median duration, in minutes, of the power failures?

A. 34

B. 29

C. 27

D. 25

E. 18

Ordering from least to greatest we have:

12, 16, 18, 25, 27, 29, 34, 35, 46

The median is the middle value. We can use the formula (n + 1)/2 to determine which data value is the median, and we obtain (9 + 1)/2 = 10/2 = 5. This means that the 5th data value is the median. Thus, the median is 27.

Answer: C
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Bunuel
During a recent storm, 9 neighborhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes, respectively. For these 9 neighborhoods, what was the median duration, in minutes, of the power failures?

A. 34

B. 29

C. 27

D. 25

E. 18


NEW question from GMAT® Official Guide 2019



PS02764)

Median of a set of 9 nnumbers is 5th Number in ascending order...

So, we have - 12 , 16 , 18 ,25 , 27

Hence, Answer must be (C) 27
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Median is noting but: the middle most value of a ascending or descending order of arranged set.

So here we can arrange the value with:

12, 16, 18, 25, 27, 29, 34, 35, 46 : so the middle most value is : 27

For example this set is of 10 elements:

12, 16, 18, 25, 27, 29, 34, 35, 46, 54 = Now the median will be = 27+29/2 = 28
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Bunuel
During a recent storm, 9 neighborhoods experienced power failures of durations 34, 29, 27, 46, 18, 25, 12, 35, and 16 minutes, respectively. For these 9 neighborhoods, what was the median duration, in minutes, of the power failures?

A. 34
B. 29
C. 27
D. 25
E. 18
Answer: Option C

Video solution by GMATinsight

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To find the median duration of the power failures, we first need to arrange the durations in ascending order:

12, 16, 18, 25, 27, 29, 34, 35, 46

Since we have an odd number of durations (9 in total), the median will be the middle value when the durations are arranged in ascending order.

The median duration in this case is the 5th value: 27.

Therefore, the median duration of the power failures is 27 minutes.

So, the answer is (C) 27.
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