Question

Find the median of 17, 23, 36, 12, 18, 23, 40 and 20

Answer 1

Arranging in ascending order, we get

12, 17, 18, 20, 23, 23, 36, 40

Here, number of terms = 8 which is even

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

`= 1/2 {8/2"th term" + (8/2 + 1)"th term"}`

`= 1/2 {4 "th term" + 5 "th term"}`

`= 1/2 {20 +23}`

`= 1/2 xx 43 = 21.5`