i would like to able to find the percentile rank of a z score 0.313152
can someone tell me how to do this.
It's about 62.3%. That is the fraction with LOWER z-scores.
I used an online normal distribution calculator.
Try the one at
http://davidmlane.com/hyperstat/z_table.html
There are many others you can find with Google.
round it if its about 62.3% then its closest to 62 percent
hope this helped
Certainly! To find the percentile rank of a given z-score, you can use a standard normal distribution table or a calculator with a built-in function for finding percentiles. Here's how you can do it using a standard normal distribution table:
1. Look up the z-score 0.313152 in the standard normal distribution table. The table will provide you with the corresponding cumulative probability for that z-score.
2. The cumulative probability represents the area under the standard normal curve to the left of the given z-score. Since you want to find the percentile rank, you need to convert this cumulative probability into a percentile.
3. To do this, subtract the cumulative probability from 1, and then multiply the result by 100 to get the percentile rank. The formula to calculate the percentile rank is: Percentile Rank = (1 - Cumulative Probability) * 100.
For example, if the cumulative probability for the z-score 0.313152 is 0.6271, you would calculate the percentile rank as follows:
Percentile Rank = (1 - 0.6271) * 100 = 37.29%
Therefore, the percentile rank for a z-score of 0.313152 would be approximately 37.29%.