PERCENTILE POINTS

Percentile points are measurements of how often observations in a dataset fall below a particular number.

• A test score at the 90th percentile, for instance, indicates that the student's score is on par with or higher than 90% of the scores in the same dataset. In statistics, percentile points are frequently used to contrast a specific observation or value with a wider dataset.

EXAMPLE:

• The 80th percentile point might be determined, for example, by sorting a dataset of 100 test results from lowest to highest, finding the score that corresponds to the 80th percentile, and using it as your 80th percentile point. In order to assess data and make wise judgments, such as selecting the top pupils or estimating the average income of a community, percentile points can be employed.

To find each of the following percentile points under the normal curve, we need to use a standard normal distribution table or a calculator with a normal distribution function.

1. P⁹⁹: The 99th percentile is the point below which 99% of the area under the curve lies. Using a standard normal distribution table, we find that the z-score corresponding to the 99th percentile is 2.33. Therefore, P⁹⁹ = 2.33.
2. P⁹⁰: The 90th percentile is the point below which 90% of the area under the curve lies. Using a standard normal distribution table, we find that the z-score corresponding to the 90th percentile is 1.28. Therefore, P⁹⁰ = 1.28.
3. P⁶⁸: The 68th percentile is the point below which 68% of the area under the curve lies. Using a standard normal distribution table, we find that the z-score corresponding to the 68th percentile is 0.44. Therefore, P⁶⁸ = 0.44.
4. P⁴⁰: The 40th percentile is the point below which 40% of the area under the curve lies. Using a standard normal distribution table, we find that the z-score corresponding to the 40th percentile is -0.25. Therefore, P⁴⁰ = -0.25.
5. P³²: The 32nd percentile is the point below which 32% of the area under the curve lies. Using a standard normal distribution table, we find that the z-score corresponding to the 32nd percentile is -0.46. Therefore, P³² = -0.46.

To understand more about Percentile Points and its example, kindly click this link below:

https://brainly.ph/question/30529017

#SPJ1