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
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%
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%
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%