Question

Robby wants to know the mean number of siblings for all students at his school. He chose four random samples of 10 students and surveyed them to see how many siblings they have. The data is as follows.

Sample 1: 1, 1, 3, 2, 0, 4, 3, 2, 1, 0
Sample 2: 2, 0, 1, 1, 0, 5, 1, 1, 2, 3
Sample 3: 4, 0, 1, 2, 2, 3, 1, 2, 3, 0
Sample 4: 3, 3, 0, 0, 1, 2, 0, 0, 1, 4

Which random sample produced the largest mean number of siblings?

(1 point)
Responses

Sample 1
Sample 1

Sample 4
Sample 4

Sample 3
Sample 3

Sample 2

Answer 1

To find the mean number of siblings for each sample, we will add up the numbers of siblings in each sample and then divide the total by the number of students in the sample (which is 10).

Let's calculate the means:

**Sample 1:**
Data: 1, 1, 3, 2, 0, 4, 3, 2, 1, 0
Sum: 1 + 1 + 3 + 2 + 0 + 4 + 3 + 2 + 1 + 0 = 17
Mean: 17 / 10 = 1.7

**Sample 2:**
Data: 2, 0, 1, 1, 0, 5, 1, 1, 2, 3
Sum: 2 + 0 + 1 + 1 + 0 + 5 + 1 + 1 + 2 + 3 = 16
Mean: 16 / 10 = 1.6

**Sample 3:**
Data: 4, 0, 1, 2, 2, 3, 1, 2, 3, 0
Sum: 4 + 0 + 1 + 2 + 2 + 3 + 1 + 2 + 3 + 0 = 18
Mean: 18 / 10 = 1.8

**Sample 4:**
Data: 3, 3, 0, 0, 1, 2, 0, 0, 1, 4
Sum: 3 + 3 + 0 + 0 + 1 + 2 + 0 + 0 + 1 + 4 = 14
Mean: 14 / 10 = 1.4

Now we can compare the means:

- Sample 1: 1.7
- Sample 2: 1.6
- Sample 3: 1.8
- Sample 4: 1.4

The largest mean number of siblings comes from **Sample 3** with a mean of 1.8.

So the answer is:
**Sample 3**