Using practical examples from the field of statistics, determine the following variables you expect to have a normal or nearly normal distribution. Illustrate by discussing and explaining possible reasons for your answer. Scores on a very easy test Shoe sizes of a random sample of adult women The number of apples in each of 100 full bushel baskets
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.
Using practical examples from the field of statistics, determine the
following variables you expect to have a normal or nearly
distribution. Illustrate by discussing and explaining possible reasons
for your answer.
- Scores on a very easy test
- Shoe sizes of a random sample of adult women
- The number of apples in each of 100 full bushel baskets
NB: answer all questions
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