For a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of the area is: Note, we are not allow to use excel, or spss. We are allow to use z score formula and z table between the scores of 40 and 47? _________ above a score of 47?__________ below a score of 53?__________ above 83?___________ between 80 and 70? _____ between 75 and 70?_______ below 75?________ below 77?_______ below 80?________ below 85?____
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.
For a
- between the scores of 40 and 47? _________
- above a score of 47?__________
- below a score of 53?__________
- above 83?___________
- between 80 and 70? _____
- between 75 and 70?_______
- below 75?________
- below 77?_______
- below 80?________
- below 85?________
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