A meteorologist records the high temperature for a particular day in various locations. The data is as follows: 59.8 63.6 64.4 64.5 65.1 67.5 68.9 70.6 71.1 71.6 72.9 73.4 Showing work is optional. a. What is the arithmetic mean of this data set? mean b. What is the median of this data set? median = c. What is the range of this data set? range = d. What is the value of Q1 of this data set? Q1 = e. What is the value of Q3 of this data set? Q3 = f. What is the value of the IQR of this data set? IQR =
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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