15, 24,26,25,1,22,25,25,21,23Is the data set symmetrical positive or negative skew
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.
15, 24,26,25,1,22,25,25,21,23
Is the data set symmetrical positive or negative skew
The given data set is
15, 24,26,25,1,22,25,25,21,23
Known Fact:
Shape of the distribution of a dataset:
The histogram of any dataset indicates the shape of the distribution of that particular dataset.
Using the histogram, shape of the distribution of any dataset is mainly classified into three ways as follows:
Symmetric:
If the left tail of the histogram is mirror image of the right tail histogram, then the data is said to be symmetrically distributed. That is, mean = median = mode.
Positively skewed:
If the right tail of the histogram is longer than the left tail of the histogram, then the data is said to be positively skewed. That is, mean > median > mode.
Negatively skewed:
If the left tail of the histogram is longer than the right tail of the histogram, then the data is said to be negatively skewed. That is, mean < median < mode.
Procedure to find the histogram in MINITAB.
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