the following observation have been air anged in asending order. if the motion of the data is 63. find the value of x.

29,32,48,50,x+2,72,78,84,95,x

something is amiss in the question (besides spelling)

if x is greater than 95

x+2 cannot be less than 72

in the q . their is mistake ok

To find the value of x in the given data, we need to identify the position of the missing term. Since the data is arranged in ascending order, we can analyze the motion between adjacent terms.

The given data is:
29, 32, 48, 50, x+2, 72, 78, 84, 95, x

To determine the motion, we should observe the differences between the adjacent terms:
32 - 29 = 3
48 - 32 = 16
50 - 48 = 2
x+2 - 50 = x-48 (difference between x and 48)
72 - x-48 = 72-x+48 (difference between 72 and x+2)
78 - 72 = 6
84 - 78 = 6
95 - 84 = 11
x - 95 (difference between x and 95)

Since we are given that the motion of the data is 63, let's set it equal to the sum of all the differences mentioned above:
3 + 16 + 2 + (x - 48) + (72 - x + 48) + 6 + 6 + 11 + (x - 95) = 63

Simplifying the equation:
-48 + x - x + 72 + 6 + 6 + 11 + x - 95 = 63
-48 + x + x - x + x + 72 + 6 + 6 + 11 - 95 = 63
x - 48 = 63
x = 63 + 48
x = 111

Therefore, the value of x is 111.