On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what percentile is a 74?

Question

anonymous · Answer

You'll need to use a Z-table for this one. 
First, Z = (X - mean)/(Standard deviation), where X is the given value. 
Z = (74-64.3)/5.4= 1.80
Next, look up 1.80 in the Z table.

anonymous · Answer

The table value at Z = 1.80 is 0.0359. The percentile can be calculated as
(1-0.0359)*100=96.41 percentile

anonymous · Answer

ok next between what two values does 68.2% of the distribution lie?

anonymous · Answer

68.2% of data will fall within one standard deviation of the mean

anonymous · Answer

so, 64.3-5.4=58.9 is the lower bound and
64.3+5.4=69.7 is the upper

anonymous · Answer

ok thanks