Question

Find the median of 18, 19, 20, 23, 22, 20, 17, 19, 25 and 21

Answer 1

18, 19, 20, 23, 22, 20, 17, 19, 25 and 21

Arranging in ascending order: 17, 18, 19, 19, 20, 20, 21, 22, 23, 25

Here, numbers of terms = 10 which is even.

∴ Median =`{"n"/2"th term"+("n"/2+1)"th term"}`

`= 1/2{10/2"th term"+(10/2+1)"th term"}`

= `1/2` {5th term + 6th term}

= `1/2` {20 + 20}

= `1/2xx40` = 20

Hence, median = 20