# statistics

• Jul 29th 2007, 04:44 PM
princess_anna57
statistics
A leading cosmetics manufacturer advertises its product in three magazines: Magazine X, Magazine Y and Magazine Z. A survey of 500 customers by the manufacturer reveals the following information on the number of people learning of the product from each of the magazines:

Magazine X: 180
Magazine Y: 200
Magazine Z: 192

Some of these people came to know about the product from two or more magazines. The numbers by this classification are

Magazine X and Magazine Y: 84.
Magazine X and Magazine Z: 52
Magazine Y and Magazine Z: 64.
All three: 38.

a) Show these numbers in a Venn diagram.
(i) at least one magazine?
(ii) exactly one magazine?
• Jul 29th 2007, 04:52 PM
tukeywilliams
For b(i) all 500 people saw the advertisement in at least one magazine.

b(ii) You have to subtract out the 'and' numbers to get the numbers for X,Y,Z. Then add all of these up.

So magazine X: 180-84-52 - 38 = 6

magazine Y = 200-84-64 - 38 = 14

magazine Z = 192-52-64 - 38 = 38

6+14+38 = 58 from exactly 1 magazine
• Jul 29th 2007, 04:55 PM
princess_anna57
ohh okay!

"magazine Y = 200-84-64 - 38 = 26"

should be:

magazine Y = 200-84-64 - 38 = 14

----

"44 + 64 + 76 = 184 - 38(3) = 70 from exactly 1 magazine"

can you please explain to me how you got that?
• Jul 29th 2007, 05:14 PM
tukeywilliams
Its actually 58. I had forgotten to subtract off the 38 and tried to correct it in the final result.
• Jul 29th 2007, 05:21 PM
princess_anna57
Aww, you drew me a diagram! Thank you so much! :)