B5: a) [10] For the data set X = {1,2,6 ,2,8,6,5,2,4}, determine; i) The range and the mode. ii) The median and the inter-quartile range. ii) The mean I and the standard deviation o (to 2 digit accuracy).
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.
![B5:
a) [10] For the data set X = {1,2,6 ,2,8,6,5,2,4}, determine;
i)
The range and the mode.
ii)
The median and the inter-quartile range.
The mean I and the standard deviation o (to 2 digit accuracy).
b) [5] You want to display graphically some crime statistics of the incidence of
four categories of crime for each of the last five years.
You will need the graphic to show changes in both the total crime and the
relative incidence of the four categories over this period.
What sort of statistical diagram would you use, and why?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10fd8e40-337e-4648-be64-4a6e54ee3f81%2Fae483a95-1831-4014-8bc9-7bbf4256ed45%2F6dxxuf3_processed.png&w=3840&q=75)
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