Eye Color
Hair Color Blue Gray Green Brown Marginal Total
Blond 42 5 21 10 78
Red 12 22 19 12 65
Brown 22 5 12 34 73
Black 9 3 11 64 87
Marginal Total 85 35 63 120 303
As part of a class project, a university student surveyed students in the cafeteria to look for a relationship between the students’ eye color and hair color. The table contains the survey results.
The percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by
percentage points. (Round off your answer to the nearest whole number.)
To find the percentage of the sample population with brown eyes and black hair, we divide the count of individuals with brown eyes and black hair (64) by the total count of individuals surveyed (303) and multiply by 100:
(64/303) * 100 ≈ 21.12%
To find the percentage of the sample population with blue eyes and black hair, we divide the count of individuals with blue eyes and black hair (9) by the total count of individuals surveyed (303) and multiply by 100:
(9/303) * 100 ≈ 2.97%
To find the difference in the percentages, we subtract the percentage of the sample population with blue eyes and black hair from the percentage of the sample population with brown eyes and black hair:
21.12% - 2.97% ≈ 18.15%
Therefore, the percentage of the sample population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by approximately 18 percentage points.