Question

use the bar chart to answer the following questions:
**round your answers to 2 decimal places if needed.

1. what percent of students have blue eyes? %
2. how many total students were surveyed? students
3. green and hazel eyes make up what percent of the surveyed students? %
4. if these ratios were true for all the students at psu, how many students would have brown eyes? (27670 students in the student body.) students

Explanation:

Step1: Calculate total number of students surveyed

Sum up the frequencies of all eye - colors. $10 + 7+6 + 10+7=40$

Step2: Calculate percentage of students with blue eyes

Use the formula $\text{Percentage}=\frac{\text{Frequency of blue - eyed students}}{\text{Total number of students}}\times100$. So, $\frac{10}{40}\times100 = 25.00\%$

Step3: Calculate percentage of students with green and hazel eyes

The frequency of green - eyed students is 10 and hazel - eyed students is 7. The total frequency of green and hazel - eyed students is $10 + 7=17$. Then the percentage is $\frac{17}{40}\times100=42.50\%$

Step4: Calculate number of students with brown eyes at PSU

First, find the proportion of students with brown eyes in the survey, which is $\frac{7}{40}$. Then multiply this proportion by the total number of students at PSU. So, $\frac{7}{40}\times27670 = 4842.25\approx4842$

Answer:

1. 25.00
2. 40
3. 42.50
4. 4842