Question

A booklet has 12 pages with the following numbers of words: 271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314 what is the median number of words per page?

Answer 1

Answer:

Put the numbers of pages in order first: 271, 285, 287, 296, 298, 301, 314, 316, 326, 327, 333, 354

The number of terms n is 12, which is an even number. If n is even then the median will be the average of the n^{th}n

th

and the \frac{n+1}{2}^{th}

2

n+1

th

term. So the median is the average of the 6^{th}6

th

and the 7^{th}7

th

term.

This is 301 and 314

The average of 301 and 314 is\frac{ (301 + 314)}{2} =\frac{615}{2} = 307.5

2

(301+314)

=

2

615

=307.5

So the median number of words is 307.5