Example: If a student Vishnu scored 45/50 on exam-1, 92/100 on exam-2 and 55.5/100 on the exam-3, the complete list of data looks like 105, 82, 94.5, 72.5, 92, 91, 52, 86, 100, 96, 98, 109, 96, 90, 92, 55.5 which is the 16 data points Vishnu uses for this project. IMPORTANT: Assume that the complete list of 16 scores as scores of 16 different students in a class and answer the questions below. Q1. What is the sample size of your data? Qualitative Quantitative Neither Q2.Is the data of scores qualitative or quantitative? Discrete Continuous Neither Nominal Ordinal Interval Ratio Q3. Is the data of scores discrete or continuous? Q4. What is the level of measurement for this data?
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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