If the Mean of a data set is 700 and the Variance is 49; Calculate the intervals used for the Empirical Rule: Average + S, Average - S, Average + 2S, Average - 2S, Average - 3S, Average + 3S.
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.
If the Mean of a data set is 700 and the Variance is 49; Calculate the intervals used for the
Given information,
Mean of a data set = 700
Variance = 49
We have to calculate intervals using empirical rule.
So,
Therefore, standard deviation (s) = 7
Step by step
Solved in 2 steps with 1 images