25 30 61 48 42 a. Determine the population mean age, μ, of the five winners
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.
Ages
|
x
|
|
|
Ages
|
x
|
Full data set
|
|
|
---|---|---|---|---|---|---|---|---|
25, 30, 61
|
38.67
|
|
|
25, 48, 42
|
38.33
|
|
|
|
25, 30, 48
|
34.33
|
|
|
30, 61, 48
|
46.33
|
|
|
|
25, 30, 42
|
32.33
|
|
|
30, 61, 42
|
44.33
|
|
|
|
25, 61, 48
|
44.67
|
|
|
30, 48, 42
|
40.00
|
|
|
|
25, 61, 42
|
42.67
|
|
|
61, 48, 42
|
50.33
|
|
|
|
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