Question
The 400 students at redwood middle school took a survey about the language they plan to study in highschool. The table shows the results of a random sample of 20 students who took the survey.
Based on the sample, which is the best estimate of the number of students at the school who plan to study french
Language: chinese frequency:3
language: French frequency:6
language: german frequency:2
language: Italian frequency:1
language: spanish frequency:8
Based on the sample, which is the best estimate of the number of students at the school who plan to study french
Language: chinese frequency:3
language: French frequency:6
language: german frequency:2
language: Italian frequency:1
language: spanish frequency:8
Answers
GPT-4o mini
To estimate the number of students at Redwood Middle School who plan to study French based on the sample, you can use proportions.
From the sample of 20 students, the frequency for each language is as follows:
- Chinese: 3
- French: 6
- German: 2
- Italian: 1
- Spanish: 8
First, we find the total frequency from the sample:
Total frequency = 3 + 6 + 2 + 1 + 8 = 20
Now, we can calculate the proportion of students in the sample who plan to study French:
Proportion of students studying French = Frequency of French / Total frequency = 6 / 20
Next, to estimate the number of students at the school who plan to study French, we multiply this proportion by the total number of students in the school (400):
Estimated number of French students = Proportion of students studying French × Total number of students
= (6 / 20) × 400
Calculating this gives:
Estimated number of French students = (0.3) × 400 = 120
Thus, the best estimate of the number of students at Redwood Middle School who plan to study French is **120 students**.
From the sample of 20 students, the frequency for each language is as follows:
- Chinese: 3
- French: 6
- German: 2
- Italian: 1
- Spanish: 8
First, we find the total frequency from the sample:
Total frequency = 3 + 6 + 2 + 1 + 8 = 20
Now, we can calculate the proportion of students in the sample who plan to study French:
Proportion of students studying French = Frequency of French / Total frequency = 6 / 20
Next, to estimate the number of students at the school who plan to study French, we multiply this proportion by the total number of students in the school (400):
Estimated number of French students = Proportion of students studying French × Total number of students
= (6 / 20) × 400
Calculating this gives:
Estimated number of French students = (0.3) × 400 = 120
Thus, the best estimate of the number of students at Redwood Middle School who plan to study French is **120 students**.