The ages of all the patients in the isolation ward of the hospital are 38,26,13,41,and 22. What is the population variance?
A)106.8
B)91.4
C)240.3
D)42.4

Question

Quizplus · Accepted Answer

The population variance is calculated by taking the mean of the squared differences from the mean. Here, the mean age = (38 + 26 + 13 + 41 + 22) / 5 = 140 / 5 = 28. The squared differences from the mean are (38-28)^2, (26-28)^2, (13-28)^2, (41-28)^2, and (22-28)^2, which are 100, 4, 225, 169, and 36 respectively. The mean of these squared differences is (100 + 4 + 225 + 169 + 36) / 5 = 534 / 5 = 106.8.

The Ages of All the Patients in the Isolation Ward