Class 10 Exam > Class 10 Questions > If the numbers 25, 31, x -3, 37, x + 4, 42, 4...
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If the numbers 25, 31, x -3, 37, x + 4, 42, 43, 45, 46 are in ascending order and their median is 39. What is the number x?
- a)40
- b)35
- c)32
- d)42
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If the numbers 25, 31, x -3, 37, x + 4, 42, 43, 45, 46 are in ascendin...
The given data in ascending order is 25, 31, x - 3, 37, x + 4, 42, 43, 45, 46
n = 9 (odd)
n = 9 (odd)
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Community Answer
If the numbers 25, 31, x -3, 37, x + 4, 42, 43, 45, 46 are in ascendin...
To find the value of x, let's first arrange the given numbers in ascending order:
25, 31, x - 3, 37, x + 4, 42, 43, 45, 46
The median is the middle number when the numbers are arranged in ascending order. Since the median is given as 39, the middle number is 39.
Now, let's rearrange the numbers, replacing x - 3 and x + 4 with their respective values:
25, 31, 37, 39, 42, 43, 45, 46
Since there are an odd number of terms in the data set, the median is the middle number, which in this case is 39.
We can see that x is the number between 37 and 42. Therefore, x must be greater than 37 and less than 42.
Option B, x = 35, is incorrect because 35 is less than 37.
Option C, x = 32, is incorrect because 32 is less than 37.
Option D, x = 42, is incorrect because 42 is greater than 42.
Therefore, the correct answer is option A, x = 40, as 40 is greater than 37 and less than 42.
25, 31, x - 3, 37, x + 4, 42, 43, 45, 46
The median is the middle number when the numbers are arranged in ascending order. Since the median is given as 39, the middle number is 39.
Now, let's rearrange the numbers, replacing x - 3 and x + 4 with their respective values:
25, 31, 37, 39, 42, 43, 45, 46
Since there are an odd number of terms in the data set, the median is the middle number, which in this case is 39.
We can see that x is the number between 37 and 42. Therefore, x must be greater than 37 and less than 42.
Option B, x = 35, is incorrect because 35 is less than 37.
Option C, x = 32, is incorrect because 32 is less than 37.
Option D, x = 42, is incorrect because 42 is greater than 42.
Therefore, the correct answer is option A, x = 40, as 40 is greater than 37 and less than 42.
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