Question

Half of the students in a freshman class are 14 years old one third are 15 and the rest are 13 . Is the mean age greater than or less than the median age

Answer 1

Explanation:

Given that half of the students in a freshman class are 14 years old one third are 15 and the rest are 13

If no of students are n, then we have

n/2 have ages as 14, n/3 as 15 and remaining n/6 as 13.

Average would be total/n

=
`((14n)/(2)+(15n)/(3) +(13n)/(6)  )/(n) \\=7+5+(13)/(6) =14.67`

Median would be middle entry when arranged in ascending order hence = 14

Mean > median

Answer 2

the mean age is greater

Explanation:

The mean age is ...

(1/2)14 + (1/3)15 + (1/6)13 = 14 1/6

The median age is 14. (half the students are 14 or younger)

The mean age is greater.

_____

1 -1/2 -1/3 = 6/6 -3/6 -2/6 = 1/6 . . . . . 1/6 of the students are 13.