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

Asked by swatipuspapatel | 12th Jan, 2021, 07:21: PM

Expert Answer:

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

Total number of observations = N = 10 .... which is even.

begin mathsize 16px style rightwards double arrow Median space equals space fraction numerator open parentheses begin display style straight N over 2 end style close parentheses to the power of th observation plus space open parentheses straight N over 2 plus space 1 close parentheses to the power of th observation over denominator 2 end fraction
rightwards double arrow 63 equals space fraction numerator 5 to the power of th observation plus space 6 to the power of th observation over denominator 2 end fraction
rightwards double arrow 63 equals fraction numerator straight x plus straight x plus 2 over denominator 2 end fraction
rightwards double arrow 63 space cross times space 2 space equals space 2 straight x space plus space 2
rightwards double arrow 126 space minus space 2 space equals space 2 straight x
rightwards double arrow space straight x space equals space 62 end style 


Answered by Yasmeen Khan | 13th Jan, 2021, 03:49: PM