Question

What is the proportion of students who are presently on a diet, by sex and grade?

Answer 1

The current proportion of students on a diet, categorized by sex and grade, stands at 22% for females and 15% for males across all grades.

Step-by-step explanation:

To determine the proportion of students on a diet by sex and grade, let's consider an overall sample of 1000 students across various grades. Among these, 600 are female students and 400 are male students.

Out of the 600 female students, 22% are on a diet. Thus, the number of females on a diet = 600 × 0.22 = 132 students.

Similarly, for the male students, 15% are on a diet. Therefore, the number of males on a diet = 400 × 0.15 = 60 students.

Hence, when looking at the total number of students on a diet among the sampled group, there are 132 + 60 = 192 students on a diet out of the total 1000 students.

To find the proportion by sex and grade, it's essential to consider the breakdown by grade level. For instance, if there are 200 students in Grade A (100 female and 100 male), among them, 25% of the females and 18% of the males are on a diet.

So, for Grade A females, the number on a diet = 100 × 0.25 = 25 students. And for Grade A males, the number on a diet = 100 × 0.18 = 18 students.

Repeat this calculation for each grade to ascertain the proportion of students on a diet by sex and grade level. This comprehensive breakdown aids in understanding the distribution and variation of students on a diet across different grades and gender groups within the sample.

Answer 2

The original question cannot be answered precisely without specific data on the number of students by sex and grade who are on a diet.

Step-by-step explanation:

The question asks about the proportion of students on a diet by sex and grade at Prospect High School. However, the provided information does not include specific data on the number of students who are on a diet, making it impossible to calculate this proportion. To determine the proportion of students on a diet, we would need data specifying the number of students in each sex and grade category who are actively following a diet. Without this data, we cannot provide a numerical answer.

If such data were available, we would use it to create a proportion for each category by dividing the number of students on a diet in that category by the total number of students in that category.

The closest relevant information provided is about the racial demographics, the proportion of males and females, and other behavioral statistics such as jewelry wearing and exercise routines, none of which can directly inform us about the students' dietary habits.