Question

Assume that a normal distribution of data has a mean of 23 and a standard deviation of 3. Use the empirical rule to find the percentage of values that lie above 29.What percent of values lie above 29?

Answer 1

Given that normal distribution of data has a mean of 23 and a standard deviation of 3

The emperical formula / graph will look like :

So the percentage of the value that lies bove 29 will be the shaded area in orange:

• ,Percent of values lie above 29 = 2.35% + 0.15% = 2.5%

,

• (,extra notes : this means that the % the lies ,below 29, = 100-2.5 = 97.5),