2. Consider following data set 70 64 119 55 64 89 87 63 62 38 67 70 60 69 78 39 75 56 71 51 66 68 95 86 57 53 47 50 55 81 80 98 a. Obtain and interpret the quartiles. b. Determine and interpret the interquartile range. c. Find and interpret the five-number summary. d. Obtain the lower and upper limits. e. Identify potential outliers, if any. f. Determine the adjacent value if any outlier is identified. g. Construct and interpret a boxplot.
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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