10) Police records show the following numbers of daily crime reports for a sample of days during the winter months and a sample of days during the summer months. Winter Summer 18 28 20 18 15 24 16 32 21 18 20 29 12 23 16 38 19 28 20 18 a. Compute the range and interquartile range for each period. b. Compute the variance and standard deviation for each period. c. Compute the coefficient of variation for each period. d. Compare the variability of the two periods.
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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