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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) Sample 4 Sample 1 Sample 3 Sample 2

1 answer

To find out which sample produced the largest mean number of siblings, we need to calculate the mean for each sample. The mean is calculated by summing all the values in the sample and then dividing by the number of values in the sample (which is 10 for all samples).

  1. 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 / 10 = 17 / 10 = 1.7

  2. 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 = Sum / 10 = 16 / 10 = 1.6

  3. 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 = Sum / 10 = 18 / 10 = 1.8

  4. 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 = Sum / 10 = 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 (1.8).

Therefore, the answer is Sample 3.