Creat a 5-Number Summary and a box plot for one continuous variable. Are there any outliers in that variable? Thsnk you
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.
Creat a 5-Number Summary and a box plot for one continuous variable. Are there any outliers in that variable?
Thsnk you
Introduction:
The five-number summary includes the minimum, first quartile, second quartile (median), third quartile, and the maximum of a data set.
We have obtained the 5-number summary and box plot for the continuous variable, Age.
5-Number Summary:
We have used Excel to solve the problem. First, we have stored the data on Age in cells A1 to A101, with cell A1 containing the label.
The following table gives the Excel formulae for the different summary measures, and the resultant values:
|
Name of summary measure |
Excel formula |
Value of summary measure |
|
Minimum |
=MIN(A2:A101) |
18 |
|
First quartile |
=QUARTILE.EXC(A2:A101,1) |
26.25 |
|
Second quartile |
=QUARTILE.EXC(A2:A101,2) |
36 |
|
Third quartile |
=QUARTILE.EXC(A2:A101,3) |
47.75 |
|
Maximum |
=MAX(A2:A101) |
74 |
Thus, the 5-number summary is: minimum- 2, first quartile- 4.25, second quartile or median- 7, third quartile- 8.75, maximum- 9.
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