Question

Find the median of the given data:

14, −3, 0, −2, −8, 13, −1, 7

Answer 1

Arranging the data is ascending order: −8, −3, −2, −1, 0, 7, 13, 14

Here number of data n = 8, even

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

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

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

= `1/2{-1 + 0}`

= `1/2(-1)`

= − 0.5

∴ Median = – 0.5