Counts of number of health center visits at CSULA for allerg

Counts of number of health center visits at CSULA for allergy related symptoms were collected from a random sample of student for the spring 2015 qualifier produced the following dataset

Solution

a) Sample size is the number of students that have been admitted for the allergy problem

Number of Students = 60+29+18+9+4 = 120 students

Maximum Visits to Hospital by any student = 4

b) Mean of the Dataset

=> (60 * 0 + 29 * 1 + 18 * 2 + 9 * 3 + 4 * 4)/120

=> (0 + 29 + 36 + 27 + 16)/120

=> (108)/120

=> 9/10

=> 0.90

c) Variance

=> [60 * (0.9 - 0)^2 + 29 * (0.9-1)^2 + 18 * (0.9-2)^2 + 9 * (0.9-3)^2 + 4 * (0.9-4)^2]/120

=> [ 48.6 + 0.29 + 21.78 + 39.69 + 38.44]/120

=> 1.24

d) Standard Deviation of the Dataset = Square root of variance

=> (1.24)^(0.5)

=> 1.11