During the course of an hour, an employee at Ultimate Packing Solutions, wrapped packages weighing 48, 32, 63, 12, 40 and 8 pounds. What was the median weight of the packages that the employee packed?
A. 33
B. 33.333
C. 34
D. 36
E. 62
The OA is D.
Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
During the course of an hour, an employee at Ultimate...
This topic has expert replies
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi swerve,
When determining the MEDIAN of a group of numbers, we first have to put the numbers in order (from least to greatest), then find the 'middle number.' When there is an EVEN number of terms, then the MEDIAN is the AVERAGE of the two 'middle terms.'
Here, we have 6 numbers:
8, 12, 32, 40, 48, 63
The MEDIAN of this group is the average of 32 and 40... 72/2 = 36.
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
When determining the MEDIAN of a group of numbers, we first have to put the numbers in order (from least to greatest), then find the 'middle number.' When there is an EVEN number of terms, then the MEDIAN is the AVERAGE of the two 'middle terms.'
Here, we have 6 numbers:
8, 12, 32, 40, 48, 63
The MEDIAN of this group is the average of 32 and 40... 72/2 = 36.
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
- EconomistGMATTutor
- GMAT Instructor
- Posts: 555
- Joined: Wed Oct 04, 2017 4:18 pm
- Thanked: 180 times
- Followed by:12 members
Hi Swerve,During the course of an hour, an employee at Ultimate Packing Solutions, wrapped packages weighing 48, 32, 63, 12, 40 and 8 pounds. What was the median weight of the packages that the employee packed?
A. 33
B. 33.333
C. 34
D. 36
E. 62
The OA is D.
Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
Let's take a look at your question.
We are asked to find the median weight of the packages weighing 48, 32, 63, 12, 40, 8.
To find median of ungrouped data, we arrange the data in ascending or descending order.
The weights in ascending order can be written as:
$$8,\ 12,\ 32,\ 40,\ 48,\ 63$$
When the number of values is odd, the median is equal to the middle value of the data arranged in ascending or descending order but When the number of values is even the median is the average of the two middle values of the data arranged in ascending or descending order.
In this data, we can see that we have six values.
The middle two values are 32 and 40.
Therefore,
$$Median\ =\ \frac{32+40}{2}$$
$$Median\ =\ \frac{72}{2}=36$$
Therefore, Option D is correct.
Hope it helps.
I am available if you'd like any help.
GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7223
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
In order, the weights were 8, 12, 32, 40, 48, 63. The median weight of the packages was the average of the two middle values: (32 + 40)/2 = 16 + 20 = 36 pounds.swerve wrote:During the course of an hour, an employee at Ultimate Packing Solutions, wrapped packages weighing 48, 32, 63, 12, 40 and 8 pounds. What was the median weight of the packages that the employee packed?
A. 33
B. 33.333
C. 34
D. 36
E. 62
The OA is D.
Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
Answer: D
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews