Consider the following observations: 34, 56, 12, 89, 11, 45, 54, 12, 44, 15, 45, 12, 23, 45, 67, 12, 45, 21, 41, 45, 12, 14, 53, 21. a) Determine Mean median and mode. Comment on the distribution of the observations. b) Calculate coefficient of variation. c) Construct a histogram and comment on it.
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.
Consider the following observations:
34, 56, 12, 89, 11, 45, 54, 12, 44, 15, 45, 12, 23, 45, 67, 12, 45, 21, 41, 45, 12,
14, 53, 21.
a) Determine Mean
observations.
b) Calculate coefficient of variation.
c) Construct a histogram and comment on it.
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