The percentile rank / score in the setting of statistics denotes the percentage of the population that falls below it when the data is organized in ascending order.
What is meant by normally distributed?
- The mean and standard deviation of a normal distribution are 0 and 1, correspondingly. It has a kurtosis of 3 and zero skew.
- Not every symmetrical distributions are normal, but all normal distributions are symmetrical.
- 68.2% of observations would fall within +/- 1 standard deviation of a mean including all normal distributions, 95.4% will fall in +/- two standard deviations, and 99.7% will fall within +/- 3 different deviations.
For the given question.
The difference in the percentiles and raw scores is-
- When presented in ascending order in statistics, a percentile rank / score signifies the percentage of the population that drops below it.
- By translating the raw score into an analogous z-score through using empirical z-distribution table, the percentile for such a raw score may be established.
To know more about the normally distributed, here
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