The three numbers 7,9, 14 have a sum of 30 and therefore a mean of 10. Use software to determine the standard deviation. Use the function for sample standard deviation. Give your answer precise to two decimal places. standard deviation = Now suppose a fourth value equal to the mean, 10, were added to the data set. What would happen to the standard deviation? Choose the correct statement. The standard deviation would decrease because the data get less spread out relative to the mean. The standard deviation would increase because the data get more spread out relative to the mean. The standard deviation would remain the same because the fourth value is equal to the mean.
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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