Question

The marks scored by the students in social test out of 20 marks are as follows: 12, 10, 8, 18, 14, 16. Find the mean and median?

Answer 1

Arranging the given data in ascending order: 8, 10, 12, 14, 16, 18

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

= `(8 + 10 + 12 + 14 + 16 + 18)/6`

= `78/6`

Mean = 13

There are n = 6 observations, 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{8 + 18}`

= `1/2(26)`

= 13