In a large population of high school students 20% have experienced math anxiety. you take a random sample of 10 students from this population. the standard deviation of the number of students in the sample who have experienced math anxiety is
Given : p = 20% = 0.20 , n = 10
Solution:
The mean is given by: = np
i.e. = (10)(0.20) = 2
Now , the standard deviation can be calculated as :
= (q)
Where , q = 1-p
i.e. q = 1-0.20 = 0.80
So , = (2*0.80) = 1.265
Answer : 1.265
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