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In a recent survey, consumers were asked where they did their gift shopping. The following results were obtained: 1354 shopped at Macy's, 1127 shopped at Emporium, 1108 shopped at Nordstrom. 1772 shopped at Emporium or Nordstrom, 2151 shopped at Macy's or Nordstrom, 2096 shopped at Macy's or Emporium, 203 shopped at all three, 133 shopped at neither Macy's nor Emporium nor Nordstrom. 1. What percent of the consumers shopped at more than one store? equation editorEquation Editor percent 2. What percent of the consumers shopped exclusively at Nordstrom? equation editorEquation Editor percent

 Feb 1, 2016

Best Answer 

 #2
avatar+129850 
+10

Here's the Venn diagram:

 

 

The total number of consumers = [ 455 + 311 + 131 + 385 + 203 + 463 + 76 + 133]  = 2157

 

The percent of consumers that shopped at more than one store  =

 

[385 + 311 + 203 + 463] / 2157 = about 63.1%

 

The percent of consumers that shopped exclusively at Nordstrom =

 

76 / 2157  = about 3.5%

 

 

 

cool cool cool

 Feb 1, 2016
 #1
avatar+2592 
0

1352 - macy - A

1127 - emporuim - B

1108 - nordstorm - C

1772 - B and C

2151 - A and C

2096 - A and B

203 - A, B, C

133 - none

 

1532+1127+1106+1772+2151+2096+203+133 = 10120

 

10120 is the total people that shopped

 

1772+2151+2096+203 = 6222

 

6222 is the total shopped at mroe than one

 

6222/10120 = 0.615

 

1. 61.5%

 

Next is the percent at Nordstorm

 

Nordstorm/Total

 

1108/10120 = 0.109

 

2. 10.9%

 Feb 1, 2016
 #2
avatar+129850 
+10
Best Answer

Here's the Venn diagram:

 

 

The total number of consumers = [ 455 + 311 + 131 + 385 + 203 + 463 + 76 + 133]  = 2157

 

The percent of consumers that shopped at more than one store  =

 

[385 + 311 + 203 + 463] / 2157 = about 63.1%

 

The percent of consumers that shopped exclusively at Nordstrom =

 

76 / 2157  = about 3.5%

 

 

 

cool cool cool

CPhill Feb 1, 2016

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