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
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.