Question

Find the mean and the median of: 0.5, 5.6, 3.8, 4.9, 2.7 and 4.4

Answer 1

Arranging in ascending order, we get

0.5, 2.7, 3.8, 4.4, 4.9, 5.6

Here, number of terms(n) = 6 which is even

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

`= 1/2 {6/2 "th term" + (6/2 + 1) "th term"}`

`= 1/2 {3 "th term" + 4 "th term"}`

`= 1/2 {3.8 + 4.4}`

`= 1/2 xx 8.2 = 4.1`

∴ Median = 4.1

Mean = `"Sum of observations"/"Number of observations"`

`= (0.5 + 2.7 + 3.8 + 4.4 + 4.9 + 5.6)/6`

`= 21.9/6 = 3.65`