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If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value of x is ________?
Correct answer is '1'. Can you explain this answer?
Verified Answer
If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value ...
The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order. If we have an odd number of numbers, the median is the middle number. If we have an even number of numbers, the median is the average of the two middle numbers.
In this case, we have five numbers: (x-1), (x-1), (x-4), (x+4), (x-3). To find the median, we need to arrange these in ascending order:
(x-4), (x-3), (x-1), (x-1), (x+4)
Since we have an odd number of numbers, the median is the middle number, which is (x-1).
According to the problem, the median is zero. So:
x-1 = 0
Solving for x, we find:
x = 1
So, the value of x that makes the median of these numbers zero is 1.
In this case, we have five numbers: (x-1), (x-1), (x-4), (x+4), (x-3). To find the median, we need to arrange these in ascending order:
(x-4), (x-3), (x-1), (x-1), (x+4)
Since we have an odd number of numbers, the median is the middle number, which is (x-1).
According to the problem, the median is zero. So:
x-1 = 0
Solving for x, we find:
x = 1
So, the value of x that makes the median of these numbers zero is 1.
Most Upvoted Answer
If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value ...
The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order. If we have an odd number of numbers, the median is the middle number. If we have an even number of numbers, the median is the average of the two middle numbers.
In this case, we have five numbers: (x-1), (x-1), (x-4), (x+4), (x-3). To find the median, we need to arrange these in ascending order:
(x-4), (x-3), (x-1), (x-1), (x+4)
Since we have an odd number of numbers, the median is the middle number, which is (x-1).
According to the problem, the median is zero. So:
x-1 = 0
Solving for x, we find:
x = 1
So, the value of x that makes the median of these numbers zero is 1.
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If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value ...
Understanding the Problem
To find the value of x for the given set of numbers, we need to find the median. The numbers are:
- (x - 1)
- (x - 1)
- (x - 4)
- (x + 4)
- (x - 3)
According to the problem, the median of these numbers is 0.
Steps to Find the Median
1. Arrange the Numbers:
- Start by writing down the values:
- (x - 1), (x - 1), (x - 4), (x + 4), (x - 3)
- To find the median, we must arrange them in ascending order.
2. Identifying the Median:
- Since there are 5 numbers, the median is the middle number in the sorted list.
3. Find the Median:
- The middle number, when sorted, should equal 0.
- For this, we must express these numbers in terms of x and see how they compare with 0.
Order the Expressions
- The expressions can be simplified:
- (x - 4) < (x="" -="" 3)="" />< (x="" -="" 1)="" />< (x="" -="" 1)="" />< (x="" +="" />
The middle number here is (x - 1).
Setting the Median to Zero
- Set the expression for the median equal to 0:
- (x - 1) = 0
Solving for x
- Rearranging gives us:
- x = 1
Conclusion
Thus, the value of x that makes the median of the given numbers equal to zero is 1.
To find the value of x for the given set of numbers, we need to find the median. The numbers are:
- (x - 1)
- (x - 1)
- (x - 4)
- (x + 4)
- (x - 3)
According to the problem, the median of these numbers is 0.
Steps to Find the Median
1. Arrange the Numbers:
- Start by writing down the values:
- (x - 1), (x - 1), (x - 4), (x + 4), (x - 3)
- To find the median, we must arrange them in ascending order.
2. Identifying the Median:
- Since there are 5 numbers, the median is the middle number in the sorted list.
3. Find the Median:
- The middle number, when sorted, should equal 0.
- For this, we must express these numbers in terms of x and see how they compare with 0.
Order the Expressions
- The expressions can be simplified:
- (x - 4) < (x="" -="" 3)="" />< (x="" -="" 1)="" />< (x="" -="" 1)="" />< (x="" +="" />
The middle number here is (x - 1).
Setting the Median to Zero
- Set the expression for the median equal to 0:
- (x - 1) = 0
Solving for x
- Rearranging gives us:
- x = 1
Conclusion
Thus, the value of x that makes the median of the given numbers equal to zero is 1.
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If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value of x is ________?Correct answer is '1'. Can you explain this answer?
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If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value of x is ________?Correct answer is '1'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value of x is ________?Correct answer is '1'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the median of (x-1), (x-1), (x-4), (x+4), (x-3) is zero then value of x is ________?Correct answer is '1'. Can you explain this answer?.
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