The table above shows the number of houses sold per week for the month

Question

https://gmatclub.com/forum/download/file.php?id=41686 The table above shows the number of houses sold per week for the month of July by two real estate agents, Peter and Dylan. What is the difference between the median number of houses sold per week by Dylan and the median number of houses sold per week by Peter? A) 0 B) 1 C) 2 D) 5 E) 6 rwftF5c.jpg

EgmatQuantExpert · Answer

Solution

Given:  
 • The table shows the number of houses sold per week in July, by Peter and Dylan

To find:  
 • The difference between the median number of houses sold per week by Dylan and that of Peter

Approach and Working:   
Arranging the number of houses sold by Dylan, in ascending order,
 • Median = middle value of (2, 3, 9, 10) = mean (3, 9) = 6

Arranging the number of houses sold by Peter, in ascending order,
 • Median = middle value of (4, 4, 6, 10) = mean (4, 6) = 5

Therefore, the difference = 6 – 5 = 1

Hence, the correct answer is option B.

Answer: B

WizakoBaskar · Answer

Data is available for 4 weeks for the two real estate agents.

How to compute median when we even number of data points? 
Arrange the numbers in ascending order. The simple average of the middle two terms is the median when we have even number of data points.

Median for Peter 
The ascending order of houses sold by Peter: 4, 4, 6, 10
The middle two terms are 4 and 6.
So, median = (4 + 6)/2 = 5.

Median for Dylan 
The ascending order of houses sold by Dylan: 2, 3, 9, 10
The middle two terms are 3 and 9.
So, median = (3 + 9)/2 = 6.

The difference in median = 6 - 5 = 1

Choice B is the answer

PKN · Answer

Let's arrange the number of houses sold per week in ascending order of magnitude:

Dylan: 2, 3 , 9, 10; no of elements=4=even

Peter: 4, 4, 6, 10; no of elements=4=even

Median: - ( for even no of data set, median is the average of the two middle most data points;the data should be arranged in order from least to greatest and vice versa )

Median no of houses sold per week:

Dylan:  \frac{3+9}{2} =6
Peter:  \frac{4+6}{2} =5

Difference=6-5=1

Ans. (B)

JeffTargetTestPrep · Answer

Let’s list Peter’s weekly number of houses sold in ascending order: 4, 4, 6, 10. The median of these data values is halfway between the two middle values: (4 + 6)/2 = 5. Thus, Peter’s median number of houses sold per week is 5.

Let’s now list Dylan’s weekly number of houses sold in ascending order: 2, 3, 9, 10. The median of these data values is halfway between the two middle values: (3 + 9)/2 = 6. Thus, Dylan’s median number of houses sold per week is 6.

The difference of the two median values is 6 – 5 = 1.

Answer: B

vishalkazone · Answer

Median of house sold by peter: 4,4,6,10 = 10/2=5

Median of house sold by Dylan: 2,3,9,10 =12/2=6

Difference=1
Answer B.

bumpbot · Answer

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The table above shows the number of houses sold per week for the month

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