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.
In a family of 10 members, which of the following information is suff
[#permalink]
23 Oct 2024, 00:03
23 Oct 2024, 00:03
Expert Reply
00:00
Question Stats:
50% (00:44) correct
50% (00:54) wrong based on 4 sessions
Hide Show timer Statistics
In a family of 10 members, which of the following information is sufficient to find the median age of the members?
A. The age of the youngest member, which is 20 years.
B. The age of the oldest member, which is 50 years.
C. The average age of the family members which is 35 years.
D. The individual ages of each of the ten members in the family.
E. The average age of the members, if every member is exactly 3 years younger to the one born just before him
A. The age of the youngest member, which is 20 years.
B. The age of the oldest member, which is 50 years.
C. The average age of the family members which is 35 years.
D. The individual ages of each of the ten members in the family.
E. The average age of the members, if every member is exactly 3 years younger to the one born just before him
- Part of the project: GRE Quant & Verbal ADVANCED Daily Challenge 2024 Edition - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
- Also replying to the unanswered questions
Re: In a family of 10 members, which of the following information is suff
[#permalink]
18 Dec 2024, 13:30
18 Dec 2024, 13:30
Expert Reply
We need to check from the options that which of them is sufficient to find the median age in the ages of a family of 10 persons.
Note: - In case of 10 numbers, the median will be the average of $5^{\text {th \&$ the $6^{\text {th $ term when numbers are arranged in either ascending or descending order.
(A) the age of the youngest person which is 20 years - it is insufficient as the age of $\(5^{\text {th \& 6^{\text {th \)$ person not given.
(B) the age of the oldest person which is 50 years - insufficient as we need the values of the middle two i.e. $\(5^{\text {th \& 6^{\text {th \)$ numbers.
(C) the average age of the family members which is 35 years - insufficient as it can only give the sum of the ages of all 10 persons but not the individual ages of $\(5^{\text {th \&$ the $6^{\text {th \)$ persons.
(D) the individual ages of each of the ten persons in the family - it is sufficient as knowing the ages of $\(5^{\text {th \& 6^{\text {th \)$ person we can find the median.
(E) the average age of the persons if every member is exactly 3 years younger to the one born just before him - it would be sufficient as in this case the ages of the person would be a consecutive series and in case of a consecutive terms (arithmetic series) median is same as the average. So, the value of the average would be same as the median.
Hence options (D) \& (E) are correct.
Note: - In case of 10 numbers, the median will be the average of $5^{\text {th \&$ the $6^{\text {th $ term when numbers are arranged in either ascending or descending order.
(A) the age of the youngest person which is 20 years - it is insufficient as the age of $\(5^{\text {th \& 6^{\text {th \)$ person not given.
(B) the age of the oldest person which is 50 years - insufficient as we need the values of the middle two i.e. $\(5^{\text {th \& 6^{\text {th \)$ numbers.
(C) the average age of the family members which is 35 years - insufficient as it can only give the sum of the ages of all 10 persons but not the individual ages of $\(5^{\text {th \&$ the $6^{\text {th \)$ persons.
(D) the individual ages of each of the ten persons in the family - it is sufficient as knowing the ages of $\(5^{\text {th \& 6^{\text {th \)$ person we can find the median.
(E) the average age of the persons if every member is exactly 3 years younger to the one born just before him - it would be sufficient as in this case the ages of the person would be a consecutive series and in case of a consecutive terms (arithmetic series) median is same as the average. So, the value of the average would be same as the median.
Hence options (D) \& (E) are correct.
gmatclubot
Re: In a family of 10 members, which of the following information is suff [#permalink]
18 Dec 2024, 13:30
Moderators:
