There are four numbers in a data set. They are 5, 3, 7, and 11. a) What is the ∑∑ x2x2 b) What is the (∑x)2(∑x)2 c) The formula for the population variance, σ2σ2 is ∑x2−(∑x)2nn∑x2-(∑x)2nn Use parts a and b to help calculate the population variance. d. Now get the population standard deviation.
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.
There are four numbers in a data set. They are 5, 3, 7, and 11.
a) What is the ∑∑ x2x2
b) What is the (∑x)2(∑x)2
c) The formula for the population variance, σ2σ2 is ∑x2−(∑x)2nn∑x2-(∑x)2nn Use parts a and b to help calculate the population variance.
d. Now get the population standard deviation.
Number of samples (n) = 4
| X | X2 | |
| 5 | 25 | |
| 3 | 9 | |
| 7 | 49 | |
| 11 | 121 | |
| Total |
Step by step
Solved in 3 steps with 10 images
