The ages of a random sample of people who attended a recent soccer match are as follows:23 35 14 37 38 15 4512 40 27 13 18 19 2337 20 29 49 40 65 5318 17 23 27 29 31 4235 38 22 20 15 17 21a. Find the mean age.b. Find the standard deviation.c. Find the coefficient of variation.
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.
The ages of a random sample of people who attended a recent soccer match are as follows:
23 35 14 37 38 15 45
12 40 27 13 18 19 23
37 20 29 49 40 65 53
18 17 23 27 29 31 42
35 38 22 20 15 17 21
a. Find the mean age.
b. Find the standard deviation.
c. Find the coefficient of variation.
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