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The observations 29,32,48,50, x, x+2,72,78,84,95 are arranged in ascending order. The value of x if the median of the data is 63, will be ____.

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Detailed Solution

The observations 29,32,48,50, x, x+2,72,78,84,95 are arranged in ascending order. The value of x if the median of the data is 63, will be 62.
Given that,
The observations 29,32,48,50, x, x+2,72,78,84,95 are arranged in ascending order and the median of data is 63.
Median is the middlemost term in a set of data.
If the number of observations is even, then the median will be the average of

n 2 t h and n 2 + 1 t h observation

Here, the number of observations is 10, so the median is the average of 5th and 6th observations, which are x and x+2.
Calculating the median:

63 = x + (x + 2) 2 126 = 2 x + 2 124 = 2 x x = 62

Thus, the value of x is 62.

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The observations 29,32,48,50, x, x+2,72,78,84,95 are arranged in ascending order. The value of x if the median of the data is 63, will be ____.