7. 10 students were asked how times they bought school lunch this week. The results are listed below: $$ 4,5,2,1,0,3,5,2,1,0 $$ There are 250 students at the school. Predict how many school lunches were sold this week. Determine whether you would survey the population or a sample.

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UpStudy AI · Accepted Answer

To solve this problem, we will follow these steps:

1. **Calculate the average number of lunches bought by the surveyed students.**
2. **Use the average to predict the total number of lunches sold for the entire student population.**
3. **Determine whether the survey represents a population or a sample.**

### Step 1: Calculate the Average

First, we need to find the total number of lunches bought by the 10 students and then calculate the average.

The results of the survey are:
$$ 4, 5, 2, 1, 0, 3, 5, 2, 1, 0 $$

**Total number of lunches:**
$$
\text{Total} = 4 + 5 + 2 + 1 + 0 + 3 + 5 + 2 + 1 + 0
$$

Let's calculate this total.
Calculate the value by following steps:
- step0: Calculate:
  $$4+5+2+1+0+3+5+2+1+0$$
- step1: Remove 0:
  $$4+5+2+1+3+5+2+1$$
- step2: Add the numbers:
  $$23$$
The total number of lunches bought by the 10 students is $$ 23 $$.

Now, we can calculate the average number of lunches bought per student:

$$
\text{Average} = \frac{\text{Total}}{\text{Number of Students}} = \frac{23}{10}
$$

Let's calculate this average.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{23}{10}$$
The average number of lunches bought per student is $$ 2.3 $$.

### Step 2: Predict Total Lunches Sold

Now, we can predict the total number of lunches sold for the entire student population of 250 students:

$$
\text{Total Lunches Sold} = \text{Average} \times \text{Total Students} = 2.3 \times 250
$$

Let's calculate this total.
Calculate the value by following steps:
- step0: Calculate:
  $$2.3\times 250$$
- step1: Multiply the numbers:
  $$575$$
The predicted total number of school lunches sold this week is $$ 575 $$.

### Step 3: Determine Population or Sample

In this case, the survey was conducted with 10 students out of a total of 250 students at the school. Since the 10 students represent a portion of the entire student body, this survey is considered a **sample** of the population.

### Summary

- Average number of lunches bought per student: $$ 2.3 $$
- Predicted total lunches sold: $$ 575 $$
- The survey represents a **sample** of the population.
The average number of lunches bought per student is 2.3. Predicting for 250 students, approximately 575 lunches were sold this week. Since only 10 students were surveyed out of 250, this is a sample of the population.

10 students were asked how times they bought school lunch this week. The results are listed below:

There are 250 students at the school. Predict how many school lunches were sold this week.
Determine whether you would survey the population or a sample.

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10 students were asked how times they bought school lunch this week. The results are listed below: There are 250 students at the school. Predict how many school lunches were sold this week. Determine whether you would survey the population or a sample.