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The following observations have been arranged in an an ascending order:18, 20, 25, 26, 30, x, 37, 38, 39, 48. If the median of the data is 35, then the value of x is
  • a)
    45
  • b)
    50
  • c)
    40
  • d)
    35
Correct answer is option 'D'. Can you explain this answer?
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The following observations have been arranged in an an ascending order...
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The following observations have been arranged in an an ascending order...
Given data in ascending order: 18, 20, 25, 26, 30, x, 37, 38, 39, 48
Median of the data = 35

To find the value of x, we need to apply the formula for finding the median of a set of data.

Formula for median:
If the number of observations is odd, then the median is the middle observation.
If the number of observations is even, then the median is the average of the two middle observations.

As there are 10 observations in the given data, the median is the average of the 5th and 6th observations (middle two observations).

So, we have:
(30 + x) / 2 = 35
30 + x = 70
x = 40

Therefore, the value of x is 40.
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The following observations have been arranged in an an ascending order:18, 20, 25, 26, 30, x, 37, 38, 39, 48. If the median of the data is 35, then the value of x isa)45b)50c)40d)35Correct answer is option 'D'. Can you explain this answer?
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