Question

Erry has taken a random sample of students and determined the number of electives that each student in his sample took last year. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63.

What would the mean be for a different random sample of 19 students from the same population?

Answer 1

the mean should be about the same, because the sample is random

Answer 2

Answer with explanation:

It was given that:

Erry has taken a random sample of 19 students and he took the data as follows:

6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10.

The mean of this sample data is 7.63.

As we know that a random sample is one in which each member has an equal chance of getting selected also on the basis of which we can approximately get the information or result for the population.

Hence, when a different random sample of 19 students are selected from the same population. We will observe that the mean would remain approximately the same.