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?

Answer 1

To find the mean number of siblings for each sample, we add up all the numbers in each sample and divide by 10 (since there are 10 students in each sample).

For Sample 1:
(1+1+3+2+0+4+3+2+1+0) / 10 = 17 / 10 = 1.7

For Sample 2:
(2+0+1+1+0+5+1+1+2+3) / 10 = 16 / 10 = 1.6

For Sample 3:
(4+0+1+2+2+3+1+2+3+0) / 10 = 18 / 10 = 1.8

For Sample 4:
(3+3+0+0+1+2+0+0+1+4) / 10 = 14 / 10 = 1.4

Therefore, Sample 3 produced the largest mean number of siblings at 1.8.