Percentiles And Standard Deviation. To calculate the percentile you will need to know your score the mean and the standard deviation. Rearranging this formula by solving for x we get. Subtract the mean from your score. The standard deviation is a measure of the spread of the data.
For normally distributed populations you can use Z-scores to calculate percentiles. A What height represents the 85th percentile. Where μ is the mean and σ is the standard deviation of the variable X and Z is the value from the standard normal distribution for the desired percentile. The formula youll type into the empty cell is STDEVP where P stands for Population. For example if you scored in the 85th percentile you scored higher than 85 percent of test takers. 50th Percentile Mean 84th Percentile Mean Standard Deviation 975th Percentile Mean 2 x Standard Deviation The percentile is the proportion of scores in a distribution where a specific score is greater than or equal to maximum number of scores.
Some cutoff values are based on standard deviation.
For example if you scored 33 and the mean is 24 you would get a difference of 9. The mean BMI for men aged 60 is 29 with a standard deviation. From our normal distribution table an inverse lookup for 99 we get a z-value of 2326. In a survey of women in a certain country ages 20-29 the mean height was 665 inches with a standard deviation of 282 inches. Heres something from the link below. How do you find percentile with mean and standard deviation.