Compute the descriptive statistic for this data set: sample mean, sample median, first quartile, third quartile, 80th percentile, sample variance, and sample standard deviation. Is there any outlier in this data? If yes, list all outliers and specify its type (extreme or mild), and sketch the modified box plot.
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.
The data below lists the number of advanced placements courses that 12 schools offer.
5, 7, 9, 11, 3, 15, 7, 6, 4, 5, 5, 1.
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Compute the
descriptive statistic for this data set: sample mean, samplemedian , firstquartile , third quartile, 80th percentile, sample variance, and sample standard deviation. -
Is there any outlier in this data? If yes, list all outliers and specify its type (extreme or mild), and sketch the modified box plot.
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