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The median of the numbers x, 10, and 12 is 12. Which of the following CANNOT be the value of x ?
- a)8
- b)12
- c)16
- d)20
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The median of the numbers x, 10, and 12 is 12. Which of the following ...
Explanation:
Given Information:
The median of the numbers x, 10, and 12 is 12.
Median Calculation:
To find the median of a set of numbers, you need to arrange the numbers in either ascending or descending order and then find the middle value. In this case, the numbers are x, 10, and 12. Since the median is given as 12, this means that when the numbers are arranged in ascending order, the middle value is 12.
Possible Values of x:
When the numbers x, 10, and 12 are arranged in ascending order, the middle value is 12. This means that x must be less than or equal to 12 to maintain the median as 12.
Explanation of Options:
a) 8: If x is 8, then the numbers x, 10, and 12 when arranged in ascending order would be 8, 10, 12. The median of this set would be 10, not 12. Therefore, 8 cannot be the value of x to maintain the median as 12.
b) 12: If x is 12, then the numbers x, 10, and 12 when arranged in ascending order would be 10, 12, 12. The median of this set would be 12.
c) 16: If x is 16, then the numbers x, 10, and 12 when arranged in ascending order would be 10, 12, 16. The median of this set would be 12.
d) 20: If x is 20, then the numbers x, 10, and 12 when arranged in ascending order would be 10, 12, 20. The median of this set would be 12.
Therefore, the value of x cannot be 8 to maintain the median as 12.
Given Information:
The median of the numbers x, 10, and 12 is 12.
Median Calculation:
To find the median of a set of numbers, you need to arrange the numbers in either ascending or descending order and then find the middle value. In this case, the numbers are x, 10, and 12. Since the median is given as 12, this means that when the numbers are arranged in ascending order, the middle value is 12.
Possible Values of x:
When the numbers x, 10, and 12 are arranged in ascending order, the middle value is 12. This means that x must be less than or equal to 12 to maintain the median as 12.
Explanation of Options:
a) 8: If x is 8, then the numbers x, 10, and 12 when arranged in ascending order would be 8, 10, 12. The median of this set would be 10, not 12. Therefore, 8 cannot be the value of x to maintain the median as 12.
b) 12: If x is 12, then the numbers x, 10, and 12 when arranged in ascending order would be 10, 12, 12. The median of this set would be 12.
c) 16: If x is 16, then the numbers x, 10, and 12 when arranged in ascending order would be 10, 12, 16. The median of this set would be 12.
d) 20: If x is 20, then the numbers x, 10, and 12 when arranged in ascending order would be 10, 12, 20. The median of this set would be 12.
Therefore, the value of x cannot be 8 to maintain the median as 12.
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The median of the numbers x, 10, and 12 is 12. Which of the following ...
The median of three numbers is the one in the middle when they are listed in order. If two of the numbers are 10 and 12, with 12 as the median, then the third number must be greater than or equal to 12, otherwise 12 would not be in the middle. Of the choices, only (A) 8 is not greater than or equal to 12.
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The median of the numbers x, 10, and 12 is 12. Which of the following CANNOT be the value of x ?a)8b)12c)16d)20Correct answer is option 'A'. Can you explain this answer?
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