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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 3
Sample 3

Sample 2
Sample 2

Sample 4
Sample 4

Sample 1

1 answer

To determine which random sample produced the largest mean number of siblings, we first need to calculate the mean of each sample. The mean is calculated by summing the number of siblings in the sample and then dividing by the number of students in the sample (which is 10).

Let's calculate the means:

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

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

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

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

Now we compare the means:

  • Sample 1 mean = 1.7
  • Sample 2 mean = 1.6
  • Sample 3 mean = 1.8
  • Sample 4 mean = 1.4

The largest mean number of siblings is from Sample 3, which is 1.8.