Question: The following data represents the marks of 50 students in one exam 75 96 35 82 88 92 75 38 52 54 63 66 91 54 25 54 64 28 38 25 59 70 57 56 58 57 80 28 72 50 52 38 65 15 30 36 70 78 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! %3D Why? 5. Draw the Histogram 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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