The following observations have been arranged in ascending order. If t

1.	The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95.
Answer» Here, the number of observations n is 10. Since n is even, Therefore median = (n/2)^th term + ((n + 1)/2)^th term Median = (value of 5^th term + value of 6^th term)/2 63 = x + (x + 2)/2 63 = (2x + 2)/2 63 = 2 (x + 1)/2 63 = x + 1 x = 63 – 1 x = 62

The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95.

Answer»

Here, the number of observations n is 10. Since n is even,

Therefore median = (n/2)^th term + ((n + 1)/2)^th term

Median = (value of 5^th term + value of 6^th term)/2

63 = x + (x + 2)/2

63 = (2x + 2)/2

63 = 2 (x + 1)/2

63 = x + 1

x = 63 – 1

x = 62

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The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x: 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95.

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