SOLUTION: A set of 50 data values has a mean of 34 and a variance of 25. I. Find the standard score (z) for a data value = 24. II. Find the probability of a data value < 24. III. Find th

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A set of 50 data values has a mean of 34 and a variance of 25. I. Find the standard score (z) for a data value = 24. II. Find the probability of a data value < 24. III. Find th      Log On


   

Question 703222: A set of 50 data values has a mean of 34 and a variance of 25.
I. Find the standard score (z) for a data value = 24.
II. Find the probability of a data value < 24.
III. Find the probability of a data value > 24.
please walk me through this
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
z = (x - mu)/(sigma)

z = z-score
x = score given
mu = mean (average)
sigma = standard deviation = sqrt(variance)



z = (24 - 34)/5 = -2 (standard deviations from the mean)

less than 23: 2.5%

greater than 23: 97.5%