Question

A football player scored the following number of goals in the 10 matches 1,3,2,5,8,6,1,4,7 and 9. Since, the number of matches is 10 (an even number), therefore
Median `=(5th "observation"+6th "observation")/2=(8+6)/2=7`
Is it the correct answer and why?

Answer 1

No, it is the correct answer, because the data have to be arranged in ascending or descending order before finding the median.
Arranging the data is ascending order 1,1,2,3,4,5,6,7,8,9.
Here, number of observations is 10, which is even.
So, median=`((n/2th) "observation"+(n/2+1) "observation")/(2)`
`((10/2)th "Observation"+(10/2+1)th "Observation")/(2)`
`(5th "observation"+6th "Observation")/2=(4+5)/2=9/2=4.5`