Question

The weekly sale of motor bikes in a showroom for the past 14 weeks given below. 10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4, 7. Find the median of the data.

Answer 1

Arranging the given data in ascending order 3, 4, 4, 5, 6, 6, 7, 7, 8, 10, 10, 12, 13, 16.

Here number of data n = 14, which is even

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

= `1/2{(14/2)^"th" "term" + (14/2 + 1)^"th" "term"}`

= `1/2{7^"th"  "term" + 8^"th"  "term"}`

= `1/2{7 + 7}`

= `1/2(14)`

= 7

∴ Median = 7