GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The average (arithmetic mean) of the numbers above
[#permalink]
22 Nov 2017, 18:49
22 Nov 2017, 18:49
Expert Reply
00:00
Question Stats:
91% (00:24) correct
8% (00:24) wrong based on 36 sessions
Hide Show timer Statistics
2, 3, 5, 7
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The average (arithmetic mean) of the numbers above |
The median of the numbers above |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Drill 1
Question: 3
Page: 521
Question: 3
Page: 521
Re: The average (arithmetic mean) of the numbers above
[#permalink]
09 Dec 2017, 19:44
09 Dec 2017, 19:44
Expert Reply
Explanation
The mean is found by dividing the sum of the elements by the number of elements. In this case: 2 + 3 + 5 + 7 = 17, and 17 ÷ 4 = 4.25, the mean. The median is the middle number, or, if the list contains an even number of elements, the average of the middle two elements (when they are arranged
in increasing order). In this case, the average of 3 and 5 is 4.
Quantity A is greater than Quantity B.
The mean is found by dividing the sum of the elements by the number of elements. In this case: 2 + 3 + 5 + 7 = 17, and 17 ÷ 4 = 4.25, the mean. The median is the middle number, or, if the list contains an even number of elements, the average of the middle two elements (when they are arranged
in increasing order). In this case, the average of 3 and 5 is 4.
Quantity A is greater than Quantity B.
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1111
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: The average (arithmetic mean) of the numbers above
[#permalink]
05 Aug 2022, 23:52
05 Aug 2022, 23:52
Theory
Quantity A
The average (arithmetic mean) of 2, 3, 5, 7
Average = \(\frac{Sum}{4}\) = \(\frac{2 + 3 + 5 + 7}{4}\) = \(\frac{17}{4}\) = 4.25
Quantity B
Median of 2, 3, 5, 7
Since, there are even number (4) of values so Median = Mean of middle two terms = \(\frac{3 + 5}{2}\) = \(\frac{8}{2}\) = 4
Clearly, Quantity A(4.25) > Quantity B(4)
So, Answer will be A.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
- ➡ Average = Sum of all the Values / Total Number of Values
➡ Sum of all the Values = Average * Total Number of Values
➡ In case of even number of numbers in the set: Median is the mean of the two middle numbers (after the numbers are arranged in the increasing / decreasing order)
➡ In case of odd number of numbers in the set: Median is the middle number (after the numbers are arranged in increasing/ decreasing order)
Quantity A
The average (arithmetic mean) of 2, 3, 5, 7
Average = \(\frac{Sum}{4}\) = \(\frac{2 + 3 + 5 + 7}{4}\) = \(\frac{17}{4}\) = 4.25
Quantity B
Median of 2, 3, 5, 7
Since, there are even number (4) of values so Median = Mean of middle two terms = \(\frac{3 + 5}{2}\) = \(\frac{8}{2}\) = 4
Clearly, Quantity A(4.25) > Quantity B(4)
So, Answer will be A.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
