he variability of a sample data set is measured by which of the following statistics sample size, range, standard deviation, median, mode
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 variability of a sample data set is measured by which of the following statistics
Sample size gives information about the size of the data but not about the variability or dispersion present in the data.
Range is just simply the difference between maximum and minimum in the data-set, so range gives the idea about some variability in the data.
Median tells about the half of the distribution lies below before what value. So it gives measure of central tendency, not the variability. Because we never know how the two halves of the distribution are separated within themselves.
Mode gives the idea about most frequently occurring values, so it does not give information about spread of the data or variability in the data.
Standard deviation is square root of variance, where variance is average of the squared distances of the values from the mean, so standard deviation gives an idea about the variability in the data. Because it is based on the differences in the values from the mean( mean is a very popular central tendency).
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