Question: The following data represents the marks of 50 students in one exam 75 63 96 35 91 82 54 88 92 75 38 28 52 38 54 25 66 25 54 64 59 52 70 57 65 56 58 57 30 28 72 78 80 50 38 15 0. 36 70 16 25 22 77 35 53 58 35 26 50 77 1. Arithmetic Mean, Geometric Mean, Harmonic Mean and Root Mean Square. 2. The Arithmetic Mean of this data, if the teacher adds 5 degrees to each student. 3. M.D, S.D and C.V 4. The Empirical relation among Mean, Median and Mode can be given by the following equation: Mean-Mode = 3(Mean-Median). Is this relation can be applied for this data? Why? 5. Draw the Histogram for this data. 自
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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