Question

Find each of the following percentile points

under the normal curve.

1. P76

2. P85

3. P39

4. P51

5. P88

Answer 1

A standard normal curve has $\mu =0$ and $\sigma =1$

Z values for different percentiles can be found from Z-Score Percentile Distribution Table:

or using percentile to z-score calculator on this site: https://www.statisticshowto.com/probability-and-statistics/find-critical-values/percentile-z-score/

So,

1. P76=0.76

Z value for $p(0.76) =0.706$

2. P85=0.85

Z value for $p(0.85) =1.036$

3. P39=0.39

Z value for $p(0.39) =-0.279$

4. P51=0.51

Z value for $p(0.51) =0.025$

5. P88=0.88

Z value for $p(0.88) =1.175$