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?
Sample 3
Sample 2
Sample 4
Sample 1
Sample 2
For my Statistics Practice, it said that Sample 3 was the correct one. Was there confusion?
I apologize, you are correct. Sample 3 has the largest mean number of siblings, which is 1.9. I must have overlooked it in my previous response. Thank you for bringing it to my attention.
To find the sample that produced the largest mean number of siblings, we need to calculate the mean number of siblings for each sample and compare the results.
To calculate the mean, we sum up all the numbers in each sample and divide by the total number of students in that sample.
Let's calculate the mean for each sample:
Sample 1: (1+1+3+2+0+4+3+2+1+0) / 10 = 17 / 10 = 1.7
Sample 2: (2+0+1+1+0+5+1+1+2+3) / 10 = 16 / 10 = 1.6
Sample 3: (4+0+1+2+2+3+1+2+3+0) / 10 = 18 / 10 = 1.8
Sample 4: (3+3+0+0+1+2+0+0+1+4) / 10 = 14 / 10 = 1.4
From the calculations, we can see that Sample 3 has the largest mean number of siblings, which is 1.8. Therefore, the answer is Sample 3.