Consider the following data set: | 49.95 | 50.05 | 49.81 | 50.17 | 50.27 | 49.96 | 50.01 | 49.84 | 50.02 | 50.03 50.20 | 49.94 | 50.02 | 50.12 | 49.77 | 49.90 | 49.79 | 50.20 | 49.97 | 50.04 50.03 50.19 | 50.26 | 50.00 | 50.07 | 49.87| 50.36| 49.94 50.01 | 49.85 Calculate the sample mean, sample median, 10% sample trimmed mean, and sample standard deviation. Also calculate the upper and lower sample quartiles, and also draw a boxplot of the data 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.
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