Select the correct answer.

The table shows the total number of student applications to universities in a particular state for a random sample of 12 semesters.

Semester Student Applications
(in thousands)
1 106
2 137
3 285
4 120
5 202
6 195
7 327
8 139
9 307
10 318
11 212
12 217
What is the approximate sample mean for student applications, in thousands?

A.
2,565

B.
256.5

C.
214

D.
32.9

1 answer

To find the sample mean, we need to sum up all the values in the table and divide by the number of semesters (12).

Total student applications = 106 + 137 + 285 + 120 + 202 + 195 + 327 + 139 + 307 + 318 + 212 + 217 = 2765

Sample mean = 2765 / 12 = 230.42

Therefore, the approximate sample mean for student applications is 230.42 thousand.

The closest option is C. 214.