Question
Principal Phillipi used a random sample of 20 student records to determine how far, in miles, students live from the school. The results are shown below.
3, 4, 5, 3, 4,
5, 6, 5, 4, 3,
2, 3, 4, 5, 6,
4, 8, 4, 3, 2
What is the mean distance that his students live from the school, rounded to the nearest tenth?
4.1 miles
4.2 miles
8.0 miles
8.3 miles
3, 4, 5, 3, 4,
5, 6, 5, 4, 3,
2, 3, 4, 5, 6,
4, 8, 4, 3, 2
What is the mean distance that his students live from the school, rounded to the nearest tenth?
4.1 miles
4.2 miles
8.0 miles
8.3 miles
Answers
GPT-4o mini
To calculate the mean distance that the students live from the school, you need to follow these steps:
1. **Sum the distances**:
\[
3 + 4 + 5 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 3 + 4 + 5 + 6 + 4 + 8 + 4 + 3 + 2
\]
Adding these values together:
\[
= 3 + 4 + 5 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 3 + 4 + 5 + 6 + 4 + 8 + 4 + 3 + 2
= 3 + 4 + 5 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 3 + 4 + 5 + 6 + 4 + 8 + 4 + 3 + 2 = 84
\]
2. **Count the number of students**:
There are 20 student records.
3. **Calculate the mean**:
\[
\text{Mean} = \frac{\text{Sum of distances}}{\text{Number of students}} = \frac{84}{20} = 4.2
\]
Therefore, the mean distance that his students live from the school, rounded to the nearest tenth, is **4.2 miles**.
1. **Sum the distances**:
\[
3 + 4 + 5 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 3 + 4 + 5 + 6 + 4 + 8 + 4 + 3 + 2
\]
Adding these values together:
\[
= 3 + 4 + 5 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 3 + 4 + 5 + 6 + 4 + 8 + 4 + 3 + 2
= 3 + 4 + 5 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 3 + 4 + 5 + 6 + 4 + 8 + 4 + 3 + 2 = 84
\]
2. **Count the number of students**:
There are 20 student records.
3. **Calculate the mean**:
\[
\text{Mean} = \frac{\text{Sum of distances}}{\text{Number of students}} = \frac{84}{20} = 4.2
\]
Therefore, the mean distance that his students live from the school, rounded to the nearest tenth, is **4.2 miles**.