Question

as preparation for designing a new line of business wear, a clothing manufacturer asked a large sample of department - store customers, \what is your favorite color of dress shirt?\ the pie chart below summarizes their responses. (a) which color was chosen by approximately one - eighth of the customers? (b) approximately what percentage of the customers chose grey or pink? write your answer as a multiple of 10% - that is, 10%, 20%, 30%,... (c) if 18% of the customers chose blue, approximately what percentage chose other? 3% 6% 33% 54%

Explanation:

Step1: Analyze one - eighth in percentage

One - eighth is $\frac{1}{8}=0.125 = 12.5\%$. Looking at the pie - chart, the 'Other' category seems closest to this proportion.

Step2: Calculate percentage for Grey or Pink

From the pie - chart, assume Grey is about 10% and Pink is about 20%. So the percentage of customers who chose Grey or Pink is $10\%+20\% = 30\%$.

Step3: Calculate percentage for Other

Let the total percentage be 100%. If Blue is 18%, and assume the sum of White, Black, Grey, Pink is about 76% (by estimating from the pie - chart). Then the percentage of Other is $100\%-(76\% + 18\%)=6\%$.

Answer:

(a) Other
(b) 30%
(c) 6%