Suppose that we have the data {x1, x2, ..., xn} such that x1=x2=...=xn=3. What is the mean of the data? What is the standard deviation? In the formula for the mean of the grouped data, what do you get when you have all group frequencies equal to 1? Two data sets of the same size have standard deviations s1 and s2. If s1<s2, then how do these data sets compare?
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.
- Suppose that we have the data {x1, x2, ..., xn} such that x1=x2=...=xn=3. What is the
mean of the data? What is the standard deviation? - In the formula for the mean of the grouped data, what do you get when you have all group frequencies equal to 1?
- Two data sets of the same size have standard deviations s1 and s2. If s1<s2, then how do these data sets compare?
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