Please include reasoning ! thank you Data Set X Y Mean 100 200 Range 100 100 The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements. Quantity A Quantity B The standard deviation of data set X The standard deviation of data set Y Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given.
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.
![Please include reasoning ! thank you
Data Set
X
Y
Mean
100
200
Range
100
100
The table shows the means and ranges of two data sets, X and Y, each containing the same number of
measurements.
Quantity A
Quantity B
The standard deviation of data set X
The standard deviation of data set Y
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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