Question

Kiera wanted to find the approximate number of historical books at the library she works at. She used the computer to randomly take a sample of 80 books and found that 6 of them were considered historical books. There are 21,360 books at this library. What is the best estimate of the amount of historical books at this library?

a)1282
b)2136
c)17088
d)1602

Answer 1

Out of a sample of 80 books, 6 were historical books. So the percentage of books in the sample will be:


`(6)/(80)*100= 7.5`%

We can use this sample to represent the entire collection of books in the library. So the best estimate of total number of historical books in the library is 7.5% of 21360 , which comes out to be:

7.5 % of 21360 =
`0.075(21360)=1602`

Therefore, roughly 1602 books out of 21360 book of library are historical books.