Question

Find the median of:

 233, 173, 189, 208, 194, 204, 194, 185, 200 and 220.

Answer 1

 Firstly arrange the numbers in ascending order

173, 185, 189, 194, 194, 200, 204, 208, 220, 233

Median =`1/2 [ "value  of"( "n" / 2 )^"th" "term" + "value  of"  (( "n" )/(2) + 1)^"th" "term" ]`

=`1/2 [ "value  of"( 10 / 2 )^"th" "term" + "value  of"  (( 10 )/(2)   + 1)^"th" "term" ]`

= `1/2[5^"th""term"+6^"th""term"]`

= `1/2 [ 200 + 194 ]`

= `1/2 [ 394 ]`

= 197

Thus the Median is 197.