Q5: A data set X consists of 300 observations of a continuous variable x that have been grouped into 5 classes as follows; Class 1: 1.0 to 1.4 40 Class 2: 1.4 to 1.6 80 Class 3: 1.6 to 1.7 50 Class 4: 1.7 to 2.0 90 Class 5: 2.0 to 2.2 40 a) Represent X with an appropriately scaled bar chart. b) Determine the mean and standard deviation of X
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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