Posted by **Jennifer** on Saturday, November 12, 2011 at 9:34pm.

A set of 50 data values has a mean of 27 and a variance of 16.

I. Find the standard score (z) for a data value = 19.

II. Find the probability of a data value < 19.

III. Find the probability of a data value > 19.

- statistics help needed -
**drwls**, Sunday, November 13, 2011 at 4:07am
The z-score is (19-16)/27 = +1/9 = 0.111

P(z<0.111) = 0.544

P(z>0.111) = 0.456

There are table and online computational aids to give you the P(z) values for a normal distribution. The number 50 is not needed.

There many be a more accurate way to do this using the probabilities of each integer data value, including 19.

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