Correct Answer - Option 4 : 62
Given:
The data is 29, 32, 48, 50, x, (x + 2), 72, 78, 84, 90 and median is 63.
Concept Used:
The median is the central number of a data set.
Formula Used:
If the total number of observations given is odd, then the formula to calculate the median is:
Median = {(n+1)/2}th term, where n is the number of observations
If the total number of observation is even, then the median formula is:
Median = [(n/2)th term + {(n/2)+1}th]/2
Calculation:
29, 32, 48, 50, x, (x + 2), 72, 78, 84, 90
Total number of data is 10.
Median = [x + (x + 2)]/2
63 = (2x + 2)/2
⇒ 126 = 2x + 2
⇒ 2x = 124
⇒ x = 124/2 = 62
∴ The value of x is 62.
