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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 2
Sample 2

Sample 1
Sample 1

Sample 3
Sample 3

Sample 4

1 answer

To determine which sample produced the largest mean number of siblings, we need to calculate the mean for each sample.

The mean is calculated by dividing the sum of the values by the number of values.

Sample 1: Values: 1, 1, 3, 2, 0, 4, 3, 2, 1, 0 Sum = 1 + 1 + 3 + 2 + 0 + 4 + 3 + 2 + 1 + 0 = 17 Mean = Sum / Number of values = 17 / 10 = 1.7

Sample 2: Values: 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: Values: 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: Values: 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 is from Sample 3, with a mean of 1.8.