Here is a table showing the auction prices of a collection of very rare paint-by
ID: 3141940 • Letter: H
Question
Here is a table showing the auction prices of a collection of very rare paint-by-number reproductions of Jackson Pollock paintings:
Price
$0–$999
$1,000–$1999
$2,000–$2,999
$3,000–$3,999
$4,000–$4,999
$5,000
Number sold
2
0
1
3
4
1
Calculate the relative frequency of the given event E in each case.
(a) A painting is auctioned for between $0 and $2,999.
(b) A painting is auctioned for at most $4,999.
(c) A painting is not auctioned for between $1,000 and $4,999.
Price
$0–$999
$1,000–$1999
$2,000–$2,999
$3,000–$3,999
$4,000–$4,999
$5,000
Number sold
2
0
1
3
4
1
Explanation / Answer
Relative frequency = favorable auction/total no. of auction
Total no. of auction = 2 + 1 + 3 + 4 + 1 = 11
A.
Auctioned between $0 and $2999 = 2 + 0 + 1 = 3
relative frequency = 3/11
B.
Auction for at most $4999 = 2 + 0 + 1 + 3 + 4 = 10
Relative frequency = 10/11
C.
Not auctioned between $1000 and $4999 = 2 + 1 = 3
Relative frequency = 3/11