Answer:
The standard deviation for the number of students who work full time = 8.38
Step-by-step explanation:
Given data
Sample size n = 284
No. of students work full time is P = 55 % = 0.55
No. of students who not work full time is Q = 100- 55 % = 45 % = 0.45
The standard deviation is given by
[tex]S.D. = \sqrt{nPQ}[/tex]
Put all the values in above equation we get
[tex]S.D. = \sqrt{(284)(0.55)(0.45)}[/tex]
S.D. = 8.38
This is the standard deviation for the number of students who work full time.