In a distribution of scores, the mean is 12, the median is 8 and the mode is 4. Describe the shape of the distribution.
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.
In a distribution of scores, the
A distribution is said to be positively skewed / right skewed if Mode > Median > Mean
and distribution is said to be negatively skewed / left skewed if Mean > Median > Mode
Here, mean = 12
median = 8
mode = 4
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