Question

What is the median and mean number of hours for these students? Any help would be greatly appreciated!

Answer 1

Mean`color(magenta)(=14.3333......`

Median`color(magenta)(=16)`

Explanation:

Mean =Sum of observations/No. of observations

`=(14+18+17+5+15+17)/6`

`=86/6`

`color(magenta)(=14.3333......`

Median is the middle term of an ordered data set.

Let us first arrange the terms in an ascending order.

`={5,14,15,17,17,18}`

Since there is no single "middle term", we define the median to be the average of the two terms in the middle. Basically, this is our best guess for what the most central term would be if we added one more data point.

`therefore`Median`color(magenta)(=(17 + 15)/2 = 16`

~Hope this helps! :)