Question

A distribution of values is normal with a mean of 187.9 and a standard deviation of 20.4. Find P10, which is the score separating the bottom 10% from the top 90%. P10 = Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

Answer 1

Let ,

Now ,

...............(I)

From standard normal distribution table , ...............(II)

From (I) and (II), we get ,