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# What is the median of the numbers shown?

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Math Expert
Joined: 02 Sep 2009
Posts: 49206
What is the median of the numbers shown?  [#permalink]

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25 Jun 2018, 05:38
00:00

Difficulty:

5% (low)

Question Stats:

92% (00:14) correct 8% (00:22) wrong based on 167 sessions

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10, 4, 26, 16
What is the median of the numbers shown?

A. 10

B. 13

C. 14

D. 15

E. 16

NEW question from GMAT® Official Guide 2019

(PS08966)

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Joined: 12 Sep 2015
Posts: 2842
Re: What is the median of the numbers shown?  [#permalink]

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25 Jun 2018, 05:50
Top Contributor
Bunuel wrote:
10, 4, 26, 16
What is the median of the numbers shown?

A. 10

B. 13

C. 14

D. 15

E. 16

Arrange the 4 values in ascending order: {4, 10, 16, 26}
Since we have an EVEN number of values, the median will be the average of the 2 middlemost values.

So, the median = (10 + 16)2
= 26/2
= 13

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Re: What is the median of the numbers shown?  [#permalink]

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25 Jun 2018, 05:53

Solution

To find:
• The median of the numbers 10, 4, 26, and 16

Approach and Working:
To find the median, first we will arrange the numbers in ascending order
• Numbers in ascending order = 4, 10, 16, 26

As there are even number of terms (4) present in the series, median will be the average of the middle two terms (2nd term and 3rd term)
• Therefore, median = $$\frac{10+16}{2} = \frac{26}{2} = 13$$

Hence, the correct answer is option B.

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Re: What is the median of the numbers shown?  [#permalink]

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28 Jun 2018, 18:05
Bunuel wrote:
10, 4, 26, 16
What is the median of the numbers shown?

A. 10

B. 13

C. 14

D. 15

E. 16

Listing the numbers from the least to the greatest, we have: 4, 10, 16, and 26.

When we have an even number of data values, the median is the average of the two middle numbers. Thus, the median is (10 + 16)/2 = 26/2 = 13.

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Re: What is the median of the numbers shown? &nbs [#permalink] 28 Jun 2018, 18:05
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