Question

modeling real life you randomly survey students in your school about the color of their eyes. theeye color of males surveyedgreen blue brown5 16 27eye color of females surveyedgreen blue brown3 19 18a. complete the two-way table.two-way table with rows: male, female, total; columns: green, blue, brown, total, with pre-filled values: male: 5, 16, 27, 48; female: 3, 19, 18, 40; total: 8, 35, 45, 88b. find and interpret the marginal frequencies for the survey.

Explanation:

Step1: Calculate male total

$5 + 16 + 27 = 48$

Step2: Calculate female total

$3 + 19 + 18 = 40$

Step3: Calculate green eye total

$5 + 3 = 8$

Step4: Calculate blue eye total

$16 + 19 = 35$

Step5: Calculate brown eye total

$27 + 18 = 45$

Step6: Calculate overall total

$48 + 40 = 88$

Step7: Define marginal frequencies

Marginal frequencies are the row/column totals.

Step8: Interpret each marginal frequency

• Male total: 48 surveyed male students.
• Female total: 40 surveyed female students.
• Green total: 8 students with green eyes.
• Blue total: 35 students with blue eyes.
• Brown total: 45 students with brown eyes.
• Overall total: 88 total surveyed students.

Answer:

a. Completed two-way table:

Gender	Green	Blue	Brown	Total
Female	3	19	18	40
Total	8	35	45	88

b. Marginal frequencies and interpretations:

• 48: Total number of male students surveyed
• 40: Total number of female students surveyed
• 8: Total number of students with green eyes surveyed
• 35: Total number of students with blue eyes surveyed
• 45: Total number of students with brown eyes surveyed
• 88: Total number of students surveyed overall