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The average time for a student to complete this quiz is 24 minutes with a standard deviation of 2

minutes. What is the range of minutes needed for the middle 68% of quiz times? Complete the

sentence below.

The middle 68% of all people finish the quiz somewhere between

and

minutes.


Sagot :

fichoh

Answer:

22 and 26 minutes

Step-by-step explanation:

Given that :

Mean, m = 24

Standard deviation, s = 2

The Zscore representing the middle 68% falls within 1 standard deviation of the mean ;

68% : (-1 < z < 1)

From the Z standardization equation ;

Z = (x - m) / s

Zs = x - m

x = Zs + m

For Z = - 1 ; x = (-1*2 + 24) = - 2 + 24 = 22

For Z = 1 ; x = (1*2 + 24) = 2 + 24 = 26

The middle 68% of all people finish the quiz somewhere between 22 and 26 minutes