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 - third of the customers?
(b) approximately what percentage of the customers chose other or white? write your answer as a multiple of 10% - that is, 10%, 20%, 30%,...
(c) if 15% of the customers chose grey, approximately what percentage chose other?
options: 2%, 5%, 33%, 45%

Explanation:

Part (a)

Step1: Recall one - third percentage

One - third of a whole (which is represented as 100% in terms of percentage) is approximately $\frac{100}{3}\approx33.33\%$. We need to look at the pie chart and see which color's segment is approximately one - third of the circle. From the pie chart, the White segment seems to occupy approximately one - third of the circle.

Step1: Analyze the segments for Other and White

First, we know from part (a) that White is approximately 33% (one - third). The Other segment is much smaller. Looking at the pie chart, the combined or individual (for Other or White) - the Other and White: Wait, the question is about the percentage of customers who chose Other or White. Wait, maybe re - examining: The White is ~ 33%, and Other is a small segment. But if we consider the sum or the individual? Wait, maybe the White is ~ 33% and Other is a small part, but maybe the question is about one of them? Wait, the problem says "Approximately what percentage of the customers chose Other or White? Write your answer as a multiple of 10% - that is, 10%, 20%, 30%,...". From the pie chart, White is ~ 33% (close to 30% or 33% which is close to 30% or 33% but as a multiple of 10%, 30% is close. But if we consider the sum of Other and White: White is ~ 33%, Other is a small segment (maybe 5% or so), but that's not a multiple of 10. Wait, maybe the question is about White (since Other is small). White is approximately 33%, which is close to 30% (a multiple of 10%). So the approximate percentage is 30% (or if we consider the sum, but likely White is the main one here).

Step1: Analyze the segments

We know that Grey is 15% of the customers. We need to find the percentage for Other. From the pie chart, the Other segment is much smaller than Grey. Looking at the options: 2%, 5%, 33%, 45%. The Other segment is a small segment, and 5% is a reasonable approximation (since 2% is very small, 33% is close to White's percentage, 45% is too big).

Answer:

White

Part (b)