For the data set 2 20 11 26 10 5 6. 15 13 19 12 10 3 17 24 27 23 18 12 9. 26 31 10 The 67th percentile is
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.
![For the data set
2
20
11
26
10 5
15
13
19
12
10
3
17
24
27
23
18
12 9
26 31
10 5
The 67th percentile is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feec6d4ca-75c0-4b87-8b6c-fda4520f6f80%2F0b8ffe56-10a9-404a-83b1-a1300a7b38f5%2F1vm5vvo_processed.jpeg&w=3840&q=75)
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