If the average of the data set given below as a missing ('*') value is 7.5, calculate the Q1 (lower quartile) value for this set.
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.
If the average of the data set given below as a missing ('*') value is 7.5, calculate the Q1 (lower quartile) value for this set.
![5, 2, 11, *, 8, 9, 12, 9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2d8fcbe-3030-49bd-9137-48407013268d%2Fec0e729b-b3a8-490d-8353-87b6630120e1%2F6d7aeh4_processed.png&w=3840&q=75)
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