Example 2: 0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79 L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th percentile and its value is L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th percentile, or the median and its value is L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th percentile and its value is Example 3: Use the same data, from example 2. L = .60(11) = 6.6 which rounds to 7, so the 7th number is the 60th percentile and its value is 888 DII F4 78
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.
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Example 2:
0.00, 0.08, 0.13, 0.14, 0.16, 0.17, 0.20, 0.29, .056, 0.70, 0.79
L = .25(11) = 2.75 which rounds to 3, so the 3rd number is the 25th
percentile
and its value is
L = .50(11) = 5.5 which rounds to 6, so the 6th number is the 50th
percentile, or the median
and its value is
L = .75(11) = 8.25 which rounds to 9, so the 9th number is the 75th
percentile
and its value is
Example 3: Use the same data, from example 2.
L = .60(11) = 6.6 which rounds to 7, so the 7th number is the 60th
percentile
and its value is
80
888
F4
24
DII
DD
F3
F7
FB
F9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73aff643-1b1c-41f0-8a2c-07af895e845b%2Faffdc837-e34b-46f8-880b-41f22d1d3371%2Fza5ehu_processed.jpeg&w=3840&q=75)
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