In: Math
If the median of the data arranged in ascending order is 63, find the value of x.
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
Given data values:
29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
Number of data values = 10 (even)
10/2 = 5
5th data value = x
(10/2) + 1 = 6
6th data value = x + 2
Median = (5th + 6th) data values/2
= (x + x + 2)/2
Thus, (2x + 2)/2 = 63 {from the given}
2(x + 1)/2 = 63
x + 1 = 63
x = 62
The value of x is 62.