Find the 24th percentile, P24, from the following data 4 5 6 10 11 15 16 19 20 24 26 34 37 39 41 43 47 56 57 59 60 62 63 66 69 70 79 82 83 87 96 P24 =
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Find the 24th percentile, P24, from the following data
| 4 | 5 | 6 | 10 | 11 |
| 15 | 16 | 19 | 20 | 24 |
| 26 | 34 | 37 | 39 | 41 |
| 43 | 47 | 56 | 57 | 59 |
| 60 | 62 | 63 | 66 | 69 |
| 70 | 79 | 82 | 83 | 87 |
| 96 |
P24 =
Consider the given data.
Let percentile
Index ranking or position
Total number of data values
Now,
Hence,
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