JEE Exam > JEE Questions > For a symmetrical distributionQ1= 20 andQ3. =...
Start Learning for Free
For a symmetrical distribution Q1 = 20 and Q3. = 40. The median of the data is
- a)10
- b)40
- c)20
- d)30
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the da...
In a symmetrical distribution, the median lies exactly halfway between the first quartile (Q1) and the third quartile (Q3). The formula for the median in such cases is:
Given:
Q1=20andQ3=40
Given:
Q1=20andQ3=40
Most Upvoted Answer
For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the da...
Understanding Symmetrical Distribution
In a symmetrical distribution, the data is evenly distributed around its central point, which is the median. The key characteristics of this distribution are:
- The mean, median, and mode are all equal.
- The quartiles (Q1 and Q3) divide the data into segments.
Given Values
- Q1 (First Quartile) = 20
- Q3 (Third Quartile) = 40
In a symmetrical distribution, the median can be found using the following relationship between quartiles:
Median Calculation
- The median lies exactly halfway between Q1 and Q3 in a symmetrical distribution.
- To find the median, you can use the formula:
Median = (Q1 + Q3) / 2
Substituting the given values:
- Median = (20 + 40) / 2
- Median = 60 / 2
- Median = 30
Conclusion
Thus, the median of the data is 30, which corresponds to option 'D'. This result aligns with the principles of symmetrical distributions, confirming that the data is balanced around this central point.
In a symmetrical distribution, the data is evenly distributed around its central point, which is the median. The key characteristics of this distribution are:
- The mean, median, and mode are all equal.
- The quartiles (Q1 and Q3) divide the data into segments.
Given Values
- Q1 (First Quartile) = 20
- Q3 (Third Quartile) = 40
In a symmetrical distribution, the median can be found using the following relationship between quartiles:
Median Calculation
- The median lies exactly halfway between Q1 and Q3 in a symmetrical distribution.
- To find the median, you can use the formula:
Median = (Q1 + Q3) / 2
Substituting the given values:
- Median = (20 + 40) / 2
- Median = 60 / 2
- Median = 30
Conclusion
Thus, the median of the data is 30, which corresponds to option 'D'. This result aligns with the principles of symmetrical distributions, confirming that the data is balanced around this central point.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer?
Question Description
For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer?.
For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer?.
Solutions for For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer?, a detailed solution for For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For a symmetrical distributionQ1= 20 andQ3. = 40. The median of the data isa)10b)40c)20d)30Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup