a survey asked a group of students to list their eye color. the results of the survey are shown in the…

a survey asked a group of students to list their eye color. the results of the survey are shown in the graph. based on the graph, how many more students in a class of 300 students would be expected to have green eyes than blue eyes? a 10 b 20 c 50 d 90

a survey asked a group of students to list their eye color. the results of the survey are shown in the graph. based on the graph, how many more students in a class of 300 students would be expected to have green eyes than blue eyes? a 10 b 20 c 50 d 90

Answer

Explanation:

Step1: Find the number of students with blue and green eyes in the survey

From the bar graph, the number of students with blue eyes is 10, and with green eyes is 20. So the difference in the survey is (20 - 10 = 10). The total number of students in the survey is (10 + 20 + 30 = 60) (assuming brown eyes are 30 from the graph).

Step2: Calculate the expected difference in a class of 300

First, find the ratio of the difference to the total in the survey: (\frac{10}{60}). Then multiply by 300: (\frac{10}{60} \times 300 = 50). Wait, no, wait. Wait, the difference per 60 students is 10. So for 300 students, the scale factor is (\frac{300}{60}=5). Then the expected difference is (10\times5 = 50)? Wait, no, let's re - evaluate.

Wait, the number of blue eyes in survey: let's check the graph again. The blue bar reaches 10, green reaches 20, brown reaches 30. So total surveyed: (10 + 20+30 = 60) students.

The proportion of blue eyes: (\frac{10}{60}), proportion of green eyes: (\frac{20}{60}).

In a class of 300, expected number of blue eyes: (\frac{10}{60}\times300 = 50)

Expected number of green eyes: (\frac{20}{60}\times300 = 100)

Difference: (100 - 50=50)

Answer:

C. 50