According to a college survey, 55% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 284 (rounded to the nearest hundredth).

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

Put all the values in above equation we get

S.D. = 8.38

This is the standard deviation for the number of students who work full time.

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