Consider the following two data sets. Data Set I: 12 25 37 8 41 Data Set II: 29 42 54 25 58 Note that each value of the second data set is obtained by adding 17 to the corresponding value of the first data set. Calculate the standard deviation for each of these two data sets using the formula for sample data.
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.
Consider the following two data sets.
Data Set I: 12 25 37 8 41
Data Set II: 29 42 54 25 58
Note that each value of the second data set is obtained by adding 17 to the corresponding value of the first data set. Calculate the standard deviation for each of these two data sets using the formula for sample data.
Round your answers to two decimal places.
Standard deviation of Data Set I = Enter you answer; Standard deviation of Data Set I
Standard deviation of Data Set II = Enter you answer; Standard deviation of Data Set II
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